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Luigi Montrucchio

Citations

Many of the citations below have been collected in an experimental project, CitEc, where a more detailed citation analysis can be found. These are citations from works listed in RePEc that could be analyzed mechanically. So far, only a minority of all works could be analyzed. See under "Corrections" how you can help improve the citation analysis.

Working papers

  1. Massimo Marinacci & Luigi Montrucchio, 2017. "Unique Tarski Fixed Points," Working Papers 604, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.

    Cited by:

    1. Jaroslav Borovicka & John Stachurski, 2017. "Necessary and Sufficient Conditions for Existence and Uniqueness of Recursive Utilities," Papers 1710.06526, arXiv.org, revised Apr 2019.
    2. Bloise, Gaetano & Vailakis, Yiannis, 2018. "Convex dynamic programming with (bounded) recursive utility," Journal of Economic Theory, Elsevier, vol. 173(C), pages 118-141.
    3. Meng Yu & Junnan Zhang, 2019. "Equilibrium in Production Chains with Multiple Upstream Partners," Papers 1908.08208, arXiv.org.
    4. Robert Becker & Juan Pablo Rincon-Zapatero, 2018. "Recursive Utility and Thompson Aggregators, I: Constructive Existence Theory for the Koopmans Equation," CAEPR Working Papers 2018-006, Center for Applied Economics and Policy Research, Department of Economics, Indiana University Bloomington.
    5. Yu, Meng & Zhang, Junnan, 2019. "Equilibrium in production chains with multiple upstream partners," Journal of Mathematical Economics, Elsevier, vol. 83(C), pages 1-10.
    6. Robert Becker & Juan Pablo Rincon-Zapatero, 2018. "Recursive Utility and Thompson Aggregators, II: Uniqueness of the Recursive Utility Representation," CAEPR Working Papers 2018-008, Center for Applied Economics and Policy Research, Department of Economics, Indiana University Bloomington.

  2. Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Luigi Montrucchio, 2011. "Classical Subjective Expected Utility," Working Papers 400, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.

    Cited by:

    1. P Battigalli & S Cerreia-Vioglio & F Maccheroni & M Marinacci, 2012. "Selfconfirming Equilibrium and Model Uncertainty," Levine's Working Paper Archive 786969000000000376, David K. Levine.
    2. Pierpaolo Battigalli & Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci, 2011. "Selfconfirming Equilibrium and Uncertainty," Working Papers 428, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    3. Emanuele Borgonovo & Veronica Cappelli & Fabio Maccheroni & Massimo Marinacci, 2015. "Risk Analysis and Decision Theory: Foundations," Working Papers 556, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    4. Ilke Aydogan & Lo?c Berger & Valentina Bosetti & Ning Liu, 2018. "Three Layers of Uncertainty: an Experiment," Working Papers 2018.24, Fondazione Eni Enrico Mattei.
    5. Loic Berger & Massimo Marinacci, 2017. "Model Uncertainty in Climate Change Economics," Working Papers 616, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    6. Battigalli, P. & Catonini, E. & Lanzani, G. & Marinacci, M., 2019. "Ambiguity attitudes and self-confirming equilibrium in sequential games," Games and Economic Behavior, Elsevier, vol. 115(C), pages 1-29.
    7. Loic Berger & Valentina Bosetti, 2016. "Ellsberg Re-revisited: An Experiment Disentangling Model Uncertainty and Risk Aversion," Working Papers 2016.37, Fondazione Eni Enrico Mattei.
    8. Massimo Marinacci, 2015. "Model Uncertainty," Working Papers 553, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.

  3. Massimo Marinacci & Luigi Montrucchio, 2011. "Finitely Well-Positioned Sets," Working Papers 386, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.

    Cited by:

    1. Jiang-hua Fan & Yan Jing & Ren-you Zhong, 2015. "Nonemptiness and boundedness of solution sets for vector variational inequalities via topological method," Journal of Global Optimization, Springer, vol. 63(1), pages 181-193, September.

  4. Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Luigi Montrucchio, 2011. "Ambiguity and Robust Statistics," Working Papers 382, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.

    Cited by:

    1. Beißner, Patrick, 2014. "Coherent price systems and uncertainty-neutral valuation," Center for Mathematical Economics Working Papers 464, Center for Mathematical Economics, Bielefeld University.
    2. Steven Kou & Xianhua Peng, 2014. "On the Measurement of Economic Tail Risk," Papers 1401.4787, arXiv.org, revised Aug 2015.
    3. Larry G. Epstein & Yoram Halevy, 2017. "Ambiguous Correlation," Boston University - Department of Economics - Working Papers Series WP2017-006, Boston University - Department of Economics.
    4. R. R. Routledge & R. A. Edwards, 2020. "Ambiguity and price competition," Theory and Decision, Springer, vol. 88(2), pages 231-256, March.
    5. Marina Agranov & Anastasia Buyalskaya, 2022. "Deterrence Effects of Enforcement Schemes: An Experimental Study," Management Science, INFORMS, vol. 68(5), pages 3573-3589, May.
    6. Epstein, Larry G. & Seo, Kyoungwon, 2015. "Exchangeable capacities, parameters and incomplete theories," Journal of Economic Theory, Elsevier, vol. 157(C), pages 879-917.
    7. P Battigalli & S Cerreia-Vioglio & F Maccheroni & M Marinacci, 2012. "Selfconfirming Equilibrium and Model Uncertainty," Levine's Working Paper Archive 786969000000000376, David K. Levine.
    8. Richard J. Arend, 2022. "The Costs of Ambiguity in Strategic Contexts," Administrative Sciences, MDPI, vol. 12(3), pages 1-19, August.
    9. ,, 2016. "Objective rationality and uncertainty averse preferences," Theoretical Economics, Econometric Society, vol. 11(2), May.
    10. Borgonovo, E. & Cappelli, V. & Maccheroni, F. & Marinacci, M., 2018. "Risk analysis and decision theory: A bridge," European Journal of Operational Research, Elsevier, vol. 264(1), pages 280-293.
    11. Epstein, Larry G. & Halevy, Yoram, 2014. "No Two Experiments are Identical," Microeconomics.ca working papers yoram_halevy-2014-9, Vancouver School of Economics, revised 15 Feb 2017.
    12. Luis García‐Feijóo & Ariel M. Viale, 2023. "Ambiguity and risk factors in bank stocks," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 46(4), pages 993-1019, December.
    13. Peter Klibanoff & Sujoy Mukerji & Kyoungwon Seo & Lorenzo Staca, 2021. "Foundations of ambiguity models under symmetry: α-MEU and smooth ambiguity," Working Papers 922, Queen Mary University of London, School of Economics and Finance.
    14. Fujii, Yoichiro & Osaki, Yusuke, 2019. "The willingness to pay for health improvement under comorbidity ambiguity," Journal of Health Economics, Elsevier, vol. 66(C), pages 91-100.
    15. He, Ying & Dyer, James S. & Butler, John C. & Jia, Jianmin, 2019. "An additive model of decision making under risk and ambiguity," Journal of Mathematical Economics, Elsevier, vol. 85(C), pages 78-92.
    16. Al-Najjar, Nabil I. & De Castro, Luciano, 2014. "Parametric representation of preferences," Journal of Economic Theory, Elsevier, vol. 150(C), pages 642-667.
    17. Peter Klibanoff & Sujoy Mukerji & Kyoungwon Seo, 2014. "Perceived Ambiguity and Relevant Measures," Econometrica, Econometric Society, vol. 82(5), pages 1945-1978, September.
    18. Sujoy Mukerji & Peter Klibanoff and Kyoungwon Seo, 2011. "Relevance and Symmetry," Economics Series Working Papers 539, University of Oxford, Department of Economics.
    19. Larry G. Epstein & Kyoungwon Seo, 2013. "De Finetti Meets Ellsberg," CIRANO Working Papers 2013s-35, CIRANO.
    20. Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Luigi Montrucchio, 2011. "Classical Subjective Expected Utility," Working Papers 400, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    21. Richard J. Arend, 2020. "Strategic decision-making under ambiguity: a new problem space and a proposed optimization approach," Business Research, Springer;German Academic Association for Business Research, vol. 13(3), pages 1231-1251, November.
    22. Pierpaolo Battigalli & Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci, 2011. "Selfconfirming Equilibrium and Uncertainty," Working Papers 428, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    23. Felix-Benedikt Liebrich, 2024. "Risk sharing under heterogeneous beliefs without convexity," Finance and Stochastics, Springer, vol. 28(4), pages 999-1033, October.
    24. Loïc Berger & Valentina Bosetti, 2020. "Are Policymakers Ambiguity Averse?," The Economic Journal, Royal Economic Society, vol. 130(626), pages 331-355.
    25. Emanuele Borgonovo & Veronica Cappelli & Fabio Maccheroni & Massimo Marinacci, 2015. "Risk Analysis and Decision Theory: Foundations," Working Papers 556, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    26. Richard J. Arend, 2022. "Strategy under Ambiguity, and a New Type of Decision Dilemma," Administrative Sciences, MDPI, vol. 12(2), pages 1-17, March.
    27. Ilke Aydogan & Lo?c Berger & Valentina Bosetti & Ning Liu, 2018. "Three Layers of Uncertainty: an Experiment," Working Papers 2018.24, Fondazione Eni Enrico Mattei.
    28. Battigalli, P. & Catonini, E. & Lanzani, G. & Marinacci, M., 2019. "Ambiguity attitudes and self-confirming equilibrium in sequential games," Games and Economic Behavior, Elsevier, vol. 115(C), pages 1-29.
    29. Loic Berger & Valentina Bosetti, 2016. "Ellsberg Re-revisited: An Experiment Disentangling Model Uncertainty and Risk Aversion," Working Papers 2016.37, Fondazione Eni Enrico Mattei.
    30. Xiaoyu Cheng, 2023. "Improving Robust Decisions with Data," Papers 2310.16281, arXiv.org, revised Jul 2024.
    31. Kuzmics, Christoph, 2017. "Abraham Wald's complete class theorem and Knightian uncertainty," Games and Economic Behavior, Elsevier, vol. 104(C), pages 666-673.
    32. Li, Jian, 2019. "The K-armed bandit problem with multiple priors," Journal of Mathematical Economics, Elsevier, vol. 80(C), pages 22-38.
    33. Edwards, Robert A. & Routledge, Robert R., 2022. "Information, Bertrand–Edgeworth competition and the law of one price," Journal of Mathematical Economics, Elsevier, vol. 101(C).
    34. Richard J. Arend, 2022. "Strategic decision-making under ambiguity: insights from exploring a simple linked two-game model," Operational Research, Springer, vol. 22(5), pages 5845-5861, November.
    35. Marcello Basili & Alain Chateauneuf & Giuseppe Scianna, 2019. "A consistent representation of Keynes’s long-term expectation in ?nancial market," Department of Economics University of Siena 808, Department of Economics, University of Siena.
    36. Yu Gao & Zhenxing Huang & Ning Liu & Jia Yang, 2024. "Are physicians rational under ambiguity?," Journal of Risk and Uncertainty, Springer, vol. 68(2), pages 183-203, April.
    37. Gaurab Aryal & Dong-Hyuk Kim, 2013. "Emprical Relevance of Ambiguity in First Price Auction Models," ANU Working Papers in Economics and Econometrics 2013-607, Australian National University, College of Business and Economics, School of Economics.
    38. Simone Cerreia vioglio & Fabio Maccheroni & Massimo Marinacci, 2013. "Ergodic Theorems for Lower Probabilities," Working Papers 500, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    39. Josef Falkinger, 2014. "In search of economic reality under the veil of financial markets," ECON - Working Papers 154, Department of Economics - University of Zurich.
    40. Ariel M. Viale & Antoine Giannetti & Luis Garcia-Feijoó, 2020. "The stock market’s reaction to macroeconomic news under ambiguity," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 34(1), pages 65-97, March.
    41. Massimo Marinacci, 2015. "Model Uncertainty," Working Papers 553, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    42. Marcello Basili & Carlo Zappia, 2018. "Ellsberg’s Decision Rules and Keynes’s Long-Term Expectations," Department of Economics University of Siena 777, Department of Economics, University of Siena.
    43. Spengemann, Marco, 2025. "The Pricing Kernel under Proportional Ambiguity," Center for Mathematical Economics Working Papers 700, Center for Mathematical Economics, Bielefeld University.
    44. Battigalli, P. & Francetich, A. & Lanzani, G. & Marinacci, M., 2019. "Learning and self-confirming long-run biases," Journal of Economic Theory, Elsevier, vol. 183(C), pages 740-785.
    45. Ruodu Wang & Johanna F. Ziegel, 2021. "Scenario-based risk evaluation," Finance and Stochastics, Springer, vol. 25(4), pages 725-756, October.
    46. Marcello Basili & Alain Chateauneuf & Giuliano Antonio & Giuseppe Scianna, 2023. "A representation of Keynes's long-term expectation in financial markets," Working Papers hal-03999320, HAL.
    47. Eric Ghysels & Jack Morgan, 2024. "On Quantum Ambiguity and Potential Exponential Computational Speed-Ups to Solving Dynamic Asset Pricing Models," Papers 2405.01479, arXiv.org, revised May 2024.
    48. Massimiliano Amarante, 2017. "Information and Ambiguity: Toward a Foundation of Nonexpected Utility," Mathematics of Operations Research, INFORMS, vol. 42(4), pages 1254-1279, November.
    49. Kfir Eliaz & Pietro Ortoleva, 2011. "A Variation on Ellsberg," Working Papers 2011-6, Brown University, Department of Economics.

  5. Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Luigi Montrucchio, 2010. "Probabilistic Sophistication, Second Order Stochastic Dominance, and Uncertainty Aversion," Carlo Alberto Notebooks 174, Collegio Carlo Alberto.

    Cited by:

    1. Matthias Lang, 2015. "First-Order and Second-Order Ambiguity Aversion," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2015_13, Max Planck Institute for Research on Collective Goods.
    2. Faro, José Heleno, 2011. "Variational Bewley Preferences," Insper Working Papers wpe_258, Insper Working Paper, Insper Instituto de Ensino e Pesquisa.
    3. Grant, Simon & Rich, Patricia & Stecher, Jack, 2022. "Bayes and Hurwicz without Bernoulli," Journal of Economic Theory, Elsevier, vol. 199(C).
    4. Paolo Ghirardato & Daniele Pennesi, 2023. "Randomizing without randomness," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(4), pages 1009-1037, May.
    5. Liebrich, Felix-Benedikt & Svindland, Gregor, 2019. "Efficient allocations under law-invariance: A unifying approach," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 28-45.
    6. Aurélien Baillon & Han Bleichrodt & Zhenxing Huang & Rogier Potter van Loon, 2017. "Measuring ambiguity attitude: (Extended) multiplier preferences for the American and the Dutch population," Journal of Risk and Uncertainty, Springer, vol. 54(3), pages 269-281, June.
    7. Sosung Baik & Sung-Ha Hwang, 2022. "Revenue Comparisons of Auctions with Ambiguity Averse Sellers," Papers 2211.12669, arXiv.org.
    8. Simone Cerreia Vioglio & Lars Peter Hansen & Fabio Maccheroni & Massimo Marinacci, 2020. "Making Decisions under Model Misspecification," Working Papers 668, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    9. Tommaso Denti & Luciano Pomatto, 2022. "Model and Predictive Uncertainty: A Foundation for Smooth Ambiguity Preferences," Econometrica, Econometric Society, vol. 90(2), pages 551-584, March.
    10. Strzalecki, Tomasz, 2011. "Probabilistic Sophistication and Variational Preferences," Scholarly Articles 11352635, Harvard University Department of Economics.
    11. Stanca, Lorenzo, 2020. "A simplified approach to subjective expected utility," Journal of Mathematical Economics, Elsevier, vol. 87(C), pages 151-160.
    12. Cerreia-Vioglio, Simone & Maccheroni, Fabio & Marinacci, Massimo & Montrucchio, Luigi, 2013. "Ambiguity and robust statistics," Journal of Economic Theory, Elsevier, vol. 148(3), pages 974-1049.
      • Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Luigi Montrucchio, 2011. "Ambiguity and Robust Statistics," Working Papers 382, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.

  6. Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Luigi Montrucchio, 2010. "Singed Integral Representations of Comonotonic Additive Functionals," Working Papers 366, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.

    Cited by:

    1. ,, 2014. "Second order beliefs models of choice under imprecise risk: non-additive second order beliefs vs. nonlinear second order utility," Theoretical Economics, Econometric Society, vol. 9(3), September.
    2. Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Aldo Rustichini, 2012. "Niveloids and Their Extensions:Risk Measures on Small Domains," Working Papers 458, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    3. Cerreia-Vioglio, S. & Maccheroni, F. & Marinacci, M., 2015. "Put–Call Parity and market frictions," Journal of Economic Theory, Elsevier, vol. 157(C), pages 730-762.
    4. Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Luigi Montrucchio, 2012. "Choquet Integration on Riesz Spaces and Dual Comonotonicity," Working Papers 433, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    5. Simone Cerreia vioglio & Fabio Maccheroni & Massimo Marinacci, 2013. "Ergodic Theorems for Lower Probabilities," Working Papers 500, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    6. Cerreia-Vioglio, Simone & Maccheroni, Fabio & Marinacci, Massimo & Montrucchio, Luigi, 2013. "Ambiguity and robust statistics," Journal of Economic Theory, Elsevier, vol. 148(3), pages 974-1049.
      • Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Luigi Montrucchio, 2011. "Ambiguity and Robust Statistics," Working Papers 382, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.

  7. Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Luigi Montrucchio, 2008. "Risk Measures: Rationality and Diversification," Carlo Alberto Notebooks 100, Collegio Carlo Alberto.

    Cited by:

    1. Walter Farkas & Pablo Koch-Medina & Cosimo Munari, 2014. "Beyond cash-additive risk measures: when changing the numéraire fails," Finance and Stochastics, Springer, vol. 18(1), pages 145-173, January.
    2. Marco Frittelli & Marco Maggis, 2010. "Dual Representation of Quasiconvex Conditional Maps," Papers 1001.3644, arXiv.org, revised Jan 2010.
    3. Cerreia-Vioglio, Simone & Maccheroni, Fabio & Marinacci, Massimo & Montrucchio, Luigi, 2012. "Probabilistic sophistication, second order stochastic dominance and uncertainty aversion," Journal of Mathematical Economics, Elsevier, vol. 48(5), pages 271-283.
    4. Simone Cerreia-Vioglio & David Dillenberger & Pietro Ortoleva, 2014. "Cautious Expected Utility and the Certainty Effect," PIER Working Paper Archive 14-005, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    5. Samuel Drapeau & Michael Kupper & Antonis Papapantoleon, 2012. "A Fourier Approach to the Computation of CV@R and Optimized Certainty Equivalents," Papers 1212.6732, arXiv.org, revised Dec 2013.
    6. Marco Frittelli & Marco Maggis, 2011. "Conditional Certainty Equivalent," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 14(01), pages 41-59.
    7. Hannes Hoffmann & Thilo Meyer-Brandis & Gregor Svindland, 2016. "Risk-Consistent Conditional Systemic Risk Measures," Papers 1609.07897, arXiv.org.
    8. Davide La Torre & Marco Maggis, 2012. "A Goal Programming Model with Satisfaction Function for Risk Management and Optimal Portfolio Diversification," Papers 1201.1783, arXiv.org, revised Sep 2012.
    9. Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Aldo Rustichini, 2012. "Niveloids and Their Extensions:Risk Measures on Small Domains," Working Papers 458, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    10. Dmitry B. Rokhlin, 2011. "On the game interpretation of a shadow price process in utility maximization problems under transaction costs," Papers 1112.2406, arXiv.org, revised Dec 2011.
    11. Marco Frittelli & Marco Maggis & Ilaria Peri, 2012. "Risk Measures on $\mathcal{P}(\mathbb{R})$ and Value At Risk with Probability/Loss function," Papers 1201.2257, arXiv.org, revised Sep 2012.
    12. Dmitry Rokhlin, 2013. "On the game interpretation of a shadow price process in utility maximization problems under transaction costs," Finance and Stochastics, Springer, vol. 17(4), pages 819-838, October.
    13. Marco Frittelli & Marco Maggis, 2012. "Complete duality for quasiconvex dynamic risk measures on modules of the $L^{p}$-type," Papers 1201.1788, arXiv.org, revised Sep 2012.
    14. Alireza Kabgani & Majid Soleimani-damaneh & Moslem Zamani, 2017. "Optimality conditions in optimization problems with convex feasible set using convexificators," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 86(1), pages 103-121, August.
    15. Enrico G. De Giorgi & David B. Brown & Melvyn Sim, 2010. "Dual representation of choice and aspirational preferences," University of St. Gallen Department of Economics working paper series 2010 2010-07, Department of Economics, University of St. Gallen.
    16. Giammarino, Flavia & Barrieu, Pauline, 2013. "Indifference pricing with uncertainty averse preferences," Journal of Mathematical Economics, Elsevier, vol. 49(1), pages 22-27.
    17. W. Farkas & A. Smirnow, 2016. "Intrinsic risk measures," Papers 1610.08782, arXiv.org.
    18. Chen Chen & Garud Iyengar & Ciamac C. Moallemi, 2013. "An Axiomatic Approach to Systemic Risk," Management Science, INFORMS, vol. 59(6), pages 1373-1388, June.
    19. Elisa Mastrogiacomo & Emanuela Rosazza Gianin, 2015. "Time-consistency of cash-subadditive risk measures," Papers 1512.03641, arXiv.org.
    20. Bogdan Grechuk & Michael Zabarankin, 2017. "Synergy effect of cooperative investment," Annals of Operations Research, Springer, vol. 249(1), pages 409-431, February.
    21. Marco Frittelli & Ilaria Peri, 2012. "From Risk Measures to Research Measures," Papers 1205.1012, arXiv.org.
    22. Niushan Gao & Cosimo Munari, 2017. "Surplus-invariant risk measures," Papers 1707.04949, arXiv.org, revised May 2018.
    23. Jaume Belles-Sampera & Montserrat Guillén & Miguel Santolino, 2013. "“Beyond Value-at-Risk: GlueVaR Distortion Risk Measures”," IREA Working Papers 201302, University of Barcelona, Research Institute of Applied Economics, revised Feb 2013.
    24. Francesca Biagini & Jean-Pierre Fouque & Marco Frittelli & Thilo Meyer-Brandis, 2015. "A Unified Approach to Systemic Risk Measures via Acceptance Sets," Papers 1503.06354, arXiv.org, revised Apr 2015.
    25. Enrico G. De Giorgi & Ola Mahmoud, 2016. "Diversification preferences in the theory of choice," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 39(2), pages 143-174, November.
    26. Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Luigi Montrucchio, 2008. "Complete Monotone Quasiconcave Duality," Carlo Alberto Notebooks 80, Collegio Carlo Alberto.
    27. Tomer Shushi, 2018. "Towards a Topological Representation of Risks and Their Measures," Risks, MDPI, vol. 6(4), pages 1-11, November.

  8. Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Luigi Montrucchio, 2008. "Uncertainty Averse Preferences," Carlo Alberto Notebooks 77, Collegio Carlo Alberto.

    Cited by:

    1. Aurélien Baillon & Yoram Halevy & Chen Li, 2022. "Experimental elicitation of ambiguity attitude using the random incentive system," Experimental Economics, Springer;Economic Science Association, vol. 25(3), pages 1002-1023, June.
    2. Madhav Chandrasekher & Mira Frick & Ryota Iijima & Yves Le Yaouanq, 2019. "Dual-self Representations of Ambiguity Preferences," Cowles Foundation Discussion Papers 2180R3, Cowles Foundation for Research in Economics, Yale University, revised Jun 2021.
    3. Simone Cerreia-Vioglio & David Dillenberger & Pietro Ortoleva, 2018. "An Explicit Representation for Disappointment Aversion and Other Betweenness Preferences," Working Papers 631, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    4. Lorenzo Maria Stanca, 2023. "Recursive Preferences, Correlation Aversion, and the Temporal Resolution of Uncertainty," Papers 2304.04599, arXiv.org, revised Jan 2025.
    5. Antoine Bommier & Asen Kochov & François Le Grand, 2019. "Ambiguity and endogenous discounting," Post-Print hal-02312365, HAL.
    6. Cerreia-Vioglio, Simone & Maccheroni, Fabio & Marinacci, Massimo & Montrucchio, Luigi, 2012. "Probabilistic sophistication, second order stochastic dominance and uncertainty aversion," Journal of Mathematical Economics, Elsevier, vol. 48(5), pages 271-283.
    7. Matthias Lang, 2015. "First-Order and Second-Order Ambiguity Aversion," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2015_13, Max Planck Institute for Research on Collective Goods.
    8. König-Kersting, Christian & Kops, Christopher & Trautmann, Stefan T., 2023. "A test of (weak) certainty independence," Journal of Economic Theory, Elsevier, vol. 209(C).
    9. Xiaoyu Cheng, 2020. "Ambiguous Persuasion: An Ex-Ante Formulation," Papers 2010.05376, arXiv.org, revised Nov 2023.
    10. Bade, Sophie, 2015. "Randomization devices and the elicitation of ambiguity-averse preferences," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 221-235.
    11. Loïc Berger & Massimo Marinacci, 2020. "Model Uncertainty in Climate Change Economics: A Review and Proposed Framework for Future Research," Post-Print hal-02914088, HAL.
    12. Ilke Aydogan & Loïc Berger & Valentina Bosetti & Ning Liu, 2023. "Three Layers of Uncertainty," Post-Print hal-04370968, HAL.
    13. Galanis, S., 2019. "Dynamic Consistency, Valuable Information and Subjective Beliefs," Working Papers 19/02, Department of Economics, City University London.
    14. Christoph Kuzmics & Brian W. Rogers & Xiannong Zhang, 2023. "Randomization advice and ambiguity aversion," Papers 2301.03304, arXiv.org, revised Jul 2024.
    15. Chateauneuf, Alain & Faro, José Heleno & Tallon, Jean-Marc & Vergopoulos, Vassili, 2024. "Alpha-maxmin as an aggregation of two selves," Journal of Mathematical Economics, Elsevier, vol. 113(C).
    16. Mira Frick & Ryota Iijima & Yves Le Yaouanq, 2020. "Objective rationality foundations for (dynamic) alpha-MEU," Cowles Foundation Discussion Papers 2244, Cowles Foundation for Research in Economics, Yale University.
    17. Daniele Pennesi, 2013. "Endogenous Status Quo," Carlo Alberto Notebooks 314, Collegio Carlo Alberto.
    18. Knispel, Thomas & Laeven, Roger J.A. & Svindland, Gregor, 2016. "Robust optimal risk sharing and risk premia in expanding pools," Insurance: Mathematics and Economics, Elsevier, vol. 70(C), pages 182-195.
    19. Paolo Ghirardato & Daniele Pennesi, 2023. "Randomizing without randomness," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(4), pages 1009-1037, May.
    20. Dong, Xueqi, 2021. "Uncertainty Aversion and Convexity in Portfolio Choice," MPRA Paper 108264, University Library of Munich, Germany.
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      • Simone Cerreia-Vioglio & Paolo Ghirardato & Fabio Maccheroni & Massimo Marinacci & Marciano Siniscalchi, 2011. "Rational preferences under ambiguity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(2), pages 341-375, October.
    97. Luciano I. Castro & Nicholas C. Yannelis, 2013. "An interpretation of Ellsberg’s Paradox based on information and incompleteness," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(2), pages 139-144, November.
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    100. Volker Krätschmer & Marcel Ladkau & Roger J. A. Laeven & John G. M. Schoenmakers & Mitja Stadje, 2018. "Optimal Stopping Under Uncertainty in Drift and Jump Intensity," Mathematics of Operations Research, INFORMS, vol. 43(4), pages 1177-1209, November.
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    105. Massimo Marinacci, 2015. "Model Uncertainty," Working Papers 553, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    106. Hansen, Lars Peter & Mayer, Ricardo & Sargent, Thomas, 2010. "Robust hidden Markov LQG problems," Journal of Economic Dynamics and Control, Elsevier, vol. 34(10), pages 1951-1966, October.
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    108. Anna Gumena & Andrei Savochkin, 2012. "Dynamically Stable Preferences," Carlo Alberto Notebooks 263, Collegio Carlo Alberto.
    109. Romain Blanchard & Laurence Carassus, 2021. "Convergence of utility indifference prices to the superreplication price in a multiple‐priors framework," Mathematical Finance, Wiley Blackwell, vol. 31(1), pages 366-398, January.
    110. Galanis, Spyros, 2018. "Financial complexity and trade," Games and Economic Behavior, Elsevier, vol. 112(C), pages 219-230.
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    112. Electra V. Petracou & Anastasios Xepapadeas & Athanasios N. Yannacopoulos, 2022. "Decision Making Under Model Uncertainty: Fréchet–Wasserstein Mean Preferences," Management Science, INFORMS, vol. 68(2), pages 1195-1211, February.
    113. Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci, 2015. "On the equality of Clarke-Rockafellar and Greenberg-Pierskalla differentials for monotone and quasiconcave functionals," Working Papers 561, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    114. Cerreia-Vioglio, Simone & Maccheroni, Fabio & Marinacci, Massimo & Montrucchio, Luigi, 2013. "Ambiguity and robust statistics," Journal of Economic Theory, Elsevier, vol. 148(3), pages 974-1049.
      • Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Luigi Montrucchio, 2011. "Ambiguity and Robust Statistics," Working Papers 382, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
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    119. Giulio Principi & Peter P. Wakker & Ruodu Wang, 2023. "Anticomonotonicity for Preference Axioms: The Natural Counterpart to Comonotonicity," Papers 2307.08542, arXiv.org, revised Dec 2024.
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  9. Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Luigi Montrucchio, 2008. "Complete Monotone Quasiconcave Duality," Carlo Alberto Notebooks 80, Collegio Carlo Alberto.

    Cited by:

    1. Marco Frittelli & Marco Maggis, 2010. "Dual Representation of Quasiconvex Conditional Maps," Papers 1001.3644, arXiv.org, revised Jan 2010.
    2. Cerreia-Vioglio, Simone & Maccheroni, Fabio & Marinacci, Massimo & Montrucchio, Luigi, 2012. "Probabilistic sophistication, second order stochastic dominance and uncertainty aversion," Journal of Mathematical Economics, Elsevier, vol. 48(5), pages 271-283.
    3. ,, 2016. "Objective rationality and uncertainty averse preferences," Theoretical Economics, Econometric Society, vol. 11(2), May.
    4. Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Luigi Montrucchio, 2008. "Uncertainty Averse Preferences," Carlo Alberto Notebooks 77, Collegio Carlo Alberto.
    5. Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Aldo Rustichini, 2012. "Niveloids and Their Extensions:Risk Measures on Small Domains," Working Papers 458, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    6. Marco Frittelli & Marco Maggis, 2012. "Complete duality for quasiconvex dynamic risk measures on modules of the $L^{p}$-type," Papers 1201.1788, arXiv.org, revised Sep 2012.
    7. Youichiro Higashi & Kazuya Hyogo & Norio Takeoka, 2020. "Costly Subjective Learning," KIER Working Papers 1040, Kyoto University, Institute of Economic Research.
    8. Sigrid Kallblad, 2013. "Risk- and ambiguity-averse portfolio optimization with quasiconcave utility functionals," Papers 1311.7419, arXiv.org.
    9. Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci, 2015. "On the equality of Clarke-Rockafellar and Greenberg-Pierskalla differentials for monotone and quasiconcave functionals," Working Papers 561, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    10. Cerreia-Vioglio, Simone & Maccheroni, Fabio & Marinacci, Massimo & Montrucchio, Luigi, 2013. "Ambiguity and robust statistics," Journal of Economic Theory, Elsevier, vol. 148(3), pages 974-1049.
      • Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Luigi Montrucchio, 2011. "Ambiguity and Robust Statistics," Working Papers 382, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.

  10. Massimo Marinacci & Luigi Montrucchio, 2007. "Unique Solutions of Some Recursive Equations in Economic Dynamics," Carlo Alberto Notebooks 46, Collegio Carlo Alberto.

    Cited by:

    1. Guerdjikova, Ani & Sciubba, Emanuela, 2015. "Survival with ambiguity," Journal of Economic Theory, Elsevier, vol. 155(C), pages 50-94.

  11. Luigi Montrucchio & Patrizia Semeraro, 2006. "Refinement Derivatives and Values of Games," Carlo Alberto Notebooks 9, Collegio Carlo Alberto.

    Cited by:

    1. Massimiliano Amarante & Luigi Montrucchio, 2010. "The bargaining set of a large game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(3), pages 313-349, June.
    2. Francesca Centrone, 2016. "Representation of Epstein-Marinacci derivatives of absolutely continuous TU games," Economics Bulletin, AccessEcon, vol. 36(2), pages 1149-1159.

  12. Massimo Marinacci & Luigi Montrucchio, 2006. "On Concavity and Supermodularity," Carlo Alberto Notebooks 5, Collegio Carlo Alberto.

    Cited by:

    1. Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Luigi Montrucchio, 2008. "Uncertainty Averse Preferences," Carlo Alberto Notebooks 77, Collegio Carlo Alberto.
    2. Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Luigi Montrucchio, 2008. "Complete Monotone Quasiconcave Duality," Carlo Alberto Notebooks 80, Collegio Carlo Alberto.

  13. Massimiliano Amarante & Fabio Maccheroni & Massimo Marinacci & Luigi Montrucchio, 2006. "Cores of Non-Atomic Market Games," Carlo Alberto Notebooks 13, Collegio Carlo Alberto.

    Cited by:

    1. Massimiliano Amarante & Luigi Montrucchio, 2010. "The bargaining set of a large game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(3), pages 313-349, June.
    2. Massimiliano AMARANTE, 2013. "A Characterization of Exact Non-atomic Market Games," Cahiers de recherche 12-2013, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    3. Edhan, Omer, 2015. "Payoffs in exact TU economies," Journal of Economic Theory, Elsevier, vol. 155(C), pages 152-184.
    4. Massimiliano Amarante & Luigi Montrucchio, 2007. "Mas-Colell Bargaining Set of Large Games," Carlo Alberto Notebooks 63, Collegio Carlo Alberto.

  14. Luigi Montrucchio & Marco Scarsini, 2005. "Large Newsvendor Games," Carlo Alberto Notebooks 15, Collegio Carlo Alberto.

    Cited by:

    1. Zhanwen Shi & Erbao Cao, 2020. "Contract farming problems and games under yield uncertainty," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 64(4), pages 1210-1238, October.
    2. Fiestras-Janeiro, M.G. & García-Jurado, I. & Meca, A. & Mosquera, M.A., 2011. "Cooperative game theory and inventory management," European Journal of Operational Research, Elsevier, vol. 210(3), pages 459-466, May.
    3. Ozen, U. & Slikker, M. & Norde, H.W., 2007. "A General Framework for Cooperation under Uncertainty," Discussion Paper 2007-57, Tilburg University, Center for Economic Research.
    4. Riccardo Colini-Baldeschi & Marco Scarsini & Stefano Vaccari, 2018. "Variance Allocation and Shapley Value," Methodology and Computing in Applied Probability, Springer, vol. 20(3), pages 919-933, September.
    5. Ulaş Özen & Marco Slikker & Greys Sošić, 2022. "On the core of m$m$‐attribute games," Production and Operations Management, Production and Operations Management Society, vol. 31(4), pages 1770-1787, April.
    6. Jiahua Zhang & Shu-Cherng Fang & Yifan Xu, 2018. "Inventory centralization with risk-averse newsvendors," Annals of Operations Research, Springer, vol. 268(1), pages 215-237, September.
    7. Xin Chen & Jiawei Zhang, 2009. "A Stochastic Programming Duality Approach to Inventory Centralization Games," Operations Research, INFORMS, vol. 57(4), pages 840-851, August.
    8. Ozen, U. & Slikker, M. & Norde, H.W., 2007. "A General Framework for Cooperation under Uncertainty," Other publications TiSEM 1972d523-d611-4906-a7c1-a, Tilburg University, School of Economics and Management.
    9. Pisciella, Paolo & Gaivoronski, Alexei A., 2024. "Modeling collaborative data service provision around an open source platform under uncertainty with stochastic provision games," Omega, Elsevier, vol. 129(C).
    10. Xuan Vinh Doan & Tri-Dung Nguyen, 2019. "Technical Note—Robust Newsvendor Games with Ambiguity in Demand Distributions," Operations Research, INFORMS, vol. 68(4), pages 1047-1062, July.
    11. M Dror & B C Hartman, 2011. "Survey of cooperative inventory games and extensions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(4), pages 565-580, April.
    12. Özen, Ulas & Norde, Henk & Slikker, Marco, 2011. "On the convexity of newsvendor games," International Journal of Production Economics, Elsevier, vol. 133(1), pages 35-42, September.

  15. Massimo Marinacci & Luigi Montrucchio, 2003. "Cores and stable sets of finite dimensional games," ICER Working Papers - Applied Mathematics Series 07-2003, ICER - International Centre for Economic Research.

    Cited by:

    1. Thibault Gadjos & Eric Maurin, 2002. "Unequal Uncertainties and Uncertain Inequalities : An Axiomatic Approach," Working Papers 2002-32, Center for Research in Economics and Statistics.
    2. Thibault Gadjos & Jean-Marc Tallon & Jean-Christophe Vergnaud, 2002. "Decision Making with Imprecise Probabilistic Information," Working Papers 2002-33, Center for Research in Economics and Statistics.
    3. Taizhong Hu & Alfred Müller & Marco Scarsini, 2002. "Some Counterexamples in Positive Dependence," ICER Working Papers - Applied Mathematics Series 28-2003, ICER - International Centre for Economic Research, revised Jul 2003.
    4. Massimiliano Amarante & Luigi Montrucchio, 2010. "The bargaining set of a large game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(3), pages 313-349, June.
    5. Alfred Müller & Marco Scarsini, 2003. "Archimedean Copulae and Positive Dependence," ICER Working Papers - Applied Mathematics Series 25-2003, ICER - International Centre for Economic Research.
    6. Antonio Lijoi & Igor Prünster & Stephen G. Walker, 2004. "On rates of convergence for posterior distributions in infinite–dimensional models," ICER Working Papers - Applied Mathematics Series 24-2004, ICER - International Centre for Economic Research.
    7. Renault, Jerome & Scarlatti, Sergio & Scarsini, Marco, 2005. "A folk theorem for minority games," Games and Economic Behavior, Elsevier, vol. 53(2), pages 208-230, November.
    8. Massimiliano Amarante & Luigi Montrucchio, 2007. "Mas-Colell Bargaining Set of Large Games," Carlo Alberto Notebooks 63, Collegio Carlo Alberto.
    9. Antonio Lijoi & Igor Prünster & Stephen G. Walker, 2004. "Contributions to the understanding of Bayesian consistency," ICER Working Papers - Applied Mathematics Series 13-2004, ICER - International Centre for Economic Research.
    10. Antonio Lijoi & Igor Prünster & Stephen G. Walker, 2004. "On consistency of nonparametric normal mixtures for Bayesian density estimation," ICER Working Papers - Applied Mathematics Series 23-2004, ICER - International Centre for Economic Research.

  16. Massimo Marinacci & Luigi Montrucchio, 2003. "Ultramodular functions," ICER Working Papers - Applied Mathematics Series 13-2003, ICER - International Centre for Economic Research.

    Cited by:

    1. Thibault Gadjos & Eric Maurin, 2002. "Unequal Uncertainties and Uncertain Inequalities : An Axiomatic Approach," Working Papers 2002-32, Center for Research in Economics and Statistics.
    2. Frostig, Esther & Denuit, Michel, 2009. "Dependence in failure times due to environmental factors," Statistics & Probability Letters, Elsevier, vol. 79(4), pages 487-495, February.
    3. Thibault Gadjos & Jean-Marc Tallon & Jean-Christophe Vergnaud, 2002. "Decision Making with Imprecise Probabilistic Information," Working Papers 2002-33, Center for Research in Economics and Statistics.
    4. Taizhong Hu & Alfred Müller & Marco Scarsini, 2002. "Some Counterexamples in Positive Dependence," ICER Working Papers - Applied Mathematics Series 28-2003, ICER - International Centre for Economic Research, revised Jul 2003.
    5. Laureano Escudero & Eva-María Ortega, 2009. "How retention levels influence the variability of the total risk under reinsurance," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 17(1), pages 139-157, July.
    6. Alfred Müller & Marco Scarsini, 2003. "Archimedean Copulae and Positive Dependence," ICER Working Papers - Applied Mathematics Series 25-2003, ICER - International Centre for Economic Research.
    7. Antonio Lijoi & Igor Prünster & Stephen G. Walker, 2004. "On rates of convergence for posterior distributions in infinite–dimensional models," ICER Working Papers - Applied Mathematics Series 24-2004, ICER - International Centre for Economic Research.
    8. Margaret Meyer & Bruno Strulovici, 2013. "Beyond Correlation: Measuring Interdependence Through Complementarities," Economics Series Working Papers 655, University of Oxford, Department of Economics.
    9. Marcello Basili & Paulo Casaca & Alain Chateauneuf & Maurizio Franzini, 2017. "Multidimensional Pigou–Dalton transfers and social evaluation functions," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-03252205, HAL.
    10. Massimo Marinacci & Luigi Montrucchio, 2002. "The convexity-cone approach to comparative risk and downside risk," ICER Working Papers - Applied Mathematics Series 18-2002, ICER - International Centre for Economic Research.
    11. Beccacece, F. & Borgonovo, E., 2011. "Functional ANOVA, ultramodularity and monotonicity: Applications in multiattribute utility theory," European Journal of Operational Research, Elsevier, vol. 210(2), pages 326-335, April.
    12. Belzunce, Félix & Mercader, José-Angel & Ruiz, José-María & Spizzichino, Fabio, 2009. "Stochastic comparisons of multivariate mixture models," Journal of Multivariate Analysis, Elsevier, vol. 100(8), pages 1657-1669, September.
    13. Xie, Hongmei & Hu, Taizhong, 2010. "Some new results on multivariate dispersive ordering of generalized order statistics," Journal of Multivariate Analysis, Elsevier, vol. 101(4), pages 964-970, April.
    14. Margaret Meyer & Bruno Strulovici, 2013. "The Supermodular Stochastic Ordering," Discussion Papers 1563, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    15. Patrick MOYES & Nicolas GRAVEL, 2011. "Ethically Robust Comparisons of Bidimensional Distributions with an Ordinal Attribute," Cahiers du GREThA (2007-2019) 2011-36, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
    16. Carlier, G., 2005. "Representation of the core of convex measure games via Kantorovich potentials," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 898-912, November.
    17. Balakrishnan, Narayanaswamy & Belzunce, Félix & Sordo, Miguel A. & Suárez-Llorens, Alfonso, 2012. "Increasing directionally convex orderings of random vectors having the same copula, and their use in comparing ordered data," Journal of Multivariate Analysis, Elsevier, vol. 105(1), pages 45-54.
    18. Antonio Lijoi & Igor Prünster & Stephen G. Walker, 2004. "Contributions to the understanding of Bayesian consistency," ICER Working Papers - Applied Mathematics Series 13-2004, ICER - International Centre for Economic Research.
    19. Martina Menon & Elisa Pagani & Federico Perali, 2012. "A Characterization of Collective Individual Expenditure Functions," Working Papers 20/2012, University of Verona, Department of Economics.
    20. Massimo Marinacci & Luigi Montrucchio, 2005. "On convexity and supermodularity," ICER Working Papers - Applied Mathematics Series 3-2005, ICER - International Centre for Economic Research.
    21. Massimo Marinacci & Luigi Montrucchio, 2006. "On Concavity and Supermodularity," Carlo Alberto Notebooks 5, Collegio Carlo Alberto.
    22. Müller, Alfred & Scarsini, Marco, 2012. "Fear of loss, inframodularity, and transfers," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1490-1500.
    23. Belzunce, Félix & Suárez-Llorens, Alfonso & Sordo, Miguel A., 2012. "Comparison of increasing directionally convex transformations of random vectors with a common copula," Insurance: Mathematics and Economics, Elsevier, vol. 50(3), pages 385-390.
    24. Antonio Lijoi & Igor Prünster & Stephen G. Walker, 2004. "On consistency of nonparametric normal mixtures for Bayesian density estimation," ICER Working Papers - Applied Mathematics Series 23-2004, ICER - International Centre for Economic Research.
    25. Arlotto, Alessandro & Scarsini, Marco, 2009. "Hessian orders and multinormal distributions," Journal of Multivariate Analysis, Elsevier, vol. 100(10), pages 2324-2330, November.
    26. Martina Menon & Elisa Pagani & Federico Perali, 2016. "A class of individual expenditure functions," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(2), pages 291-305, October.
    27. Luigi Montrucchio & Patrizia Semeraro, 2006. "Refinement Derivatives and Values of Games," Carlo Alberto Notebooks 9, Collegio Carlo Alberto.

  17. Massimo Marinacci & Luigi Montrucchio, 2001. "Subcalculus for set functions and cores of TU games," ICER Working Papers - Applied Mathematics Series 09-2001, ICER - International Centre for Economic Research.

    Cited by:

    1. M. Amarante & F. Maccheroni & M. Marinacci & L. Montrucchio, 2006. "Cores of non-atomic market games," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(3), pages 399-424, October.
    2. Enrico Diecidue & Fabio Maccheroni, 2002. "Coherence without Additivity," ICER Working Papers - Applied Mathematics Series 10-2002, ICER - International Centre for Economic Research.
    3. Massimo Marinacci & Luigi Montrucchio, 2002. "The convexity-cone approach to comparative risk and downside risk," ICER Working Papers - Applied Mathematics Series 18-2002, ICER - International Centre for Economic Research.
    4. Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Luigi Montrucchio, 2011. "Classical Subjective Expected Utility," Working Papers 400, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    5. Salvatore Modica & Marco Scarsini, 2003. "The convexity-cone approach to comparative risk and downside risk," ICER Working Papers - Applied Mathematics Series 01-2003, ICER - International Centre for Economic Research.
    6. Marinacci, Massimo & Montrucchio, Luigi, 2004. "A characterization of the core of convex games through Gateaux derivatives," Journal of Economic Theory, Elsevier, vol. 116(2), pages 229-248, June.
    7. Fabio Maccheroni & William H. Ruckle, 2001. "BV as a dual space," ICER Working Papers - Applied Mathematics Series 29-2001, ICER - International Centre for Economic Research.
    8. Massimo Marinacci & Luigi Montrucchio, 2003. "Ultramodular functions," ICER Working Papers - Applied Mathematics Series 13-2003, ICER - International Centre for Economic Research.
    9. Nobusumi Sagara & Milan Vlach, 2011. "A new class of convex games on σ-algebras and the optimal partitioning of measurable spaces," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(3), pages 617-630, August.
    10. Massimiliano Amarante & Luigi Montrucchio, 2007. "Mas-Colell Bargaining Set of Large Games," Carlo Alberto Notebooks 63, Collegio Carlo Alberto.
    11. Erio Castagnoli & Fabio Maccheroni & Massimo Marinacci, 2002. "Insurance Premia Consistent with the Market," ICER Working Papers - Applied Mathematics Series 24-2002, ICER - International Centre for Economic Research.
    12. Massimo Marinacci & Luigi Montrucchio, 2003. "Cores and stable sets of finite dimensional games," ICER Working Papers - Applied Mathematics Series 07-2003, ICER - International Centre for Economic Research.
    13. Luigi Montrucchio & Patrizia Semeraro, 2006. "Refinement Derivatives and Values of Games," Carlo Alberto Notebooks 9, Collegio Carlo Alberto.

  18. Mitra, Tapan & Montrucchio, Luigi & Privileggi, Fabio, 2001. "The Nature of the Steady State in Models of Optimal Growth Under Uncertainty," Working Papers 01-04, Cornell University, Center for Analytic Economics.

    Cited by:

    1. La Torre, Davide & Marsiglio,Simone & Mendivil, Franklin & Privileggi, Fabio, 2023. "Stochastic Optimal Growth through State-Dependent Probabilities," Department of Economics and Statistics Cognetti de Martiis. Working Papers 202312, University of Turin.
    2. Davide Torre & Simone Marsiglio & Franklin Mendivil & Fabio Privileggi, 2024. "Stochastic disease spreading and containment policies under state-dependent probabilities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(1), pages 127-168, February.
    3. La Torre, Davide & Marsiglio, Simone & Privileggi, Fabio, 2018. "Fractal Attractors in Economic Growth Models with Random Pollution Externalities," Department of Economics and Statistics Cognetti de Martiis. Working Papers 201801, University of Turin.
    4. Takashi Kamihigashi & John Stachurski, 2015. "Seeking Ergodicity in Dynamic Economies," Discussion Paper Series DP2015-40, Research Institute for Economics & Business Administration, Kobe University.
    5. Guido Cozzi & Fabio Privileggi, 2002. "Wealth Polarization and Pulverization in Fractal Societies," ICER Working Papers - Applied Mathematics Series 39-2002, ICER - International Centre for Economic Research.
    6. Torre, Davide La & Marsiglio, Simone & Mendivil, Franklin & Privileggi, Fabio, 2019. "A stochastic economic growth model with health capital and state-dependent probabilities," Chaos, Solitons & Fractals, Elsevier, vol. 129(C), pages 81-93.
    7. Olson, Lars J. & Roy, Santanu, 2005. "Theory of Stochastic Optimal Economic Growth," Working Papers 28601, University of Maryland, Department of Agricultural and Resource Economics.
    8. Santanu Roy & Itzhak Zilcha, 2012. "Stochastic growth with short-run prediction of shocks," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(3), pages 539-580, November.
    9. La Torre, Davide & Marsiglio, Simone & Mendivil, Franklin & Privileggi, Fabio, 2016. "Fractal Attractors and Singular Invariant Measures in Two-Sector Growth Models with Random Factor Shares," Department of Economics and Statistics Cognetti de Martiis. Working Papers 201620, University of Turin.
    10. Raphael L'evy & Marcin Pk{e}ski & Nicolas Vieille, 2022. "Stationary social learning in a changing environment," Papers 2201.02122, arXiv.org.
    11. Takashi Kamihigashi & John Stachurski, 2014. "Interlinkage between Real Exchange rate and Current Account Behaviors: Evidence from India," Working Papers 2014-86, Department of Research, Ipag Business School.
    12. Gardini, L. & Hommes, C.H. & Tramontana, F. & de Vilder, R., 2009. "Forward and Backward Dynamics in implicitly defined Overlapping Generations Models," CeNDEF Working Papers 09-02, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    13. Kamihigashi, Takashi, 2007. "Stochastic optimal growth with bounded or unbounded utility and with bounded or unbounded shocks," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 477-500, April.
    14. Guido Cozzi & Fabio Privileggi, 2009. "The fractal nature of inequality in a fast growing world: new version," Working Papers 2009_30, Business School - Economics, University of Glasgow.
    15. Simone Marsiglio & Privileggi, Fabio, 2020. "Three Dimensional Fractal Attractors in a Green Transition Economic Growth Model," Department of Economics and Statistics Cognetti de Martiis. Working Papers 202019, University of Turin.
    16. Mitra, Tapan & Privileggi, Fabio, 2003. "Cantor Type Invariant Distributions in the Theory of Optimal Growth under Uncertainty," Working Papers 03-09, Cornell University, Center for Analytic Economics.
    17. Shilei Wang, 2012. "Iterated Function Systems with Economic Applications," Papers 1209.4849, arXiv.org.
    18. Mitra, Tapan & Privileggi, Fabio, 2009. "On Lipschitz continuity of the iterated function system in a stochastic optimal growth model," Journal of Mathematical Economics, Elsevier, vol. 45(1-2), pages 185-198, January.
    19. Davide La Torre & Simone, Marsiglio & Mendivil, Franklin & Privileggi, Fabio, 2015. "Self-Similar Measures in Multi-Sector Endogenous Growth Models," Department of Economics and Statistics Cognetti de Martiis. Working Papers 201509, University of Turin.
    20. Mitra, Tapan & Privileggi, Fabio, 2006. "Cantor type attractors in stochastic growth models," Chaos, Solitons & Fractals, Elsevier, vol. 29(3), pages 626-637.
    21. Shilei Wang, 2015. "The Iterative Nature of a Class of Economic Dynamics," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 9(3), pages 155-168, December.
    22. La Torre, Davide & Marsiglio, Simone & Privileggi, Fabio, 2011. "Fractals and Self-Similarity in Economics: the Case of a Stochastic Two-Sector Growth Model," POLIS Working Papers 157, Institute of Public Policy and Public Choice - POLIS.
    23. La Torre, Davide & Marsiglio, Simone & Mendivil, Franklin & Privileggi, Fabio, 2021. "Generalized Fractal Transforms with Condensation: a Macroeconomic-Epidemiological Application," Department of Economics and Statistics Cognetti de Martiis. Working Papers 202107, University of Turin.
    24. Tomoo Kikuchi & George Vachadze, 2018. "Minimum investment requirement, financial market imperfection and self-fulfilling belief," Journal of Evolutionary Economics, Springer, vol. 28(2), pages 305-332, April.

  19. Montrucchio, Luigi & Privileggi, Fabio, 1999. "On Fragility of Bubbles in Equilibrium Asset Pricing Models of Lucas-Type," POLIS Working Papers 5, Institute of Public Policy and Public Choice - POLIS.

    Cited by:

    1. Marchese, Carla, 2006. "Rewarding the consumer for curbing the evasion of commodity taxes?," POLIS Working Papers 72, Institute of Public Policy and Public Choice - POLIS.
    2. Ottone, Stefania, 2006. "fairness: a survey," POLIS Working Papers 57, Institute of Public Policy and Public Choice - POLIS.
    3. Thibault Gadjos & Eric Maurin, 2002. "Unequal Uncertainties and Uncertain Inequalities : An Axiomatic Approach," Working Papers 2002-32, Center for Research in Economics and Statistics.
    4. Kevin X. D. Huang & Jan Werner, 2002. "Implementing Arrow-Debreu equilibria by trading infinitely-lived securities," Research Working Paper RWP 02-08, Federal Reserve Bank of Kansas City.
    5. Takashi Kamihigashi, 2006. "Transversality Conditions and Dynamic Economic Behavior," Discussion Paper Series 180, Research Institute for Economics & Business Administration, Kobe University.
    6. Takashi Kamihigashi, 2015. "A Simple No-Bubble Theorem for Deterministic Sequential Economies," Discussion Paper Series DP2015-38, Research Institute for Economics & Business Administration, Kobe University.
    7. Thibault Gadjos & Jean-Marc Tallon & Jean-Christophe Vergnaud, 2002. "Decision Making with Imprecise Probabilistic Information," Working Papers 2002-33, Center for Research in Economics and Statistics.
    8. Giovanni B. Ramello, 2006. "What'S In A Sign ? Trademark Law And Economic Theory," Journal of Economic Surveys, Wiley Blackwell, vol. 20(4), pages 547-565, September.
    9. Taizhong Hu & Alfred Müller & Marco Scarsini, 2002. "Some Counterexamples in Positive Dependence," ICER Working Papers - Applied Mathematics Series 28-2003, ICER - International Centre for Economic Research, revised Jul 2003.
    10. Ramello, Giovanni B. & Silva, Francesco, 2006. "Appropriating signs and meaning: The elusive economics of trademark," POLIS Working Papers 70, Institute of Public Policy and Public Choice - POLIS.
    11. Montefiori, Marcello, 2003. "Hotelling competition on quality in the health care market," POLIS Working Papers 33, Institute of Public Policy and Public Choice - POLIS.
    12. Ferruccio Ponzano, 2001. "Efficiency wages and endogenous supervision technology," POLIS Working Papers 23, Institute of Public Policy and Public Choice - POLIS.
    13. Takashi Kamihigashi, 2016. "A Simple Optimality-Based No-Bubble Theorem for Deterministic Sequential Economies," Discussion Paper Series DP2016-22, Research Institute for Economics & Business Administration, Kobe University.
    14. Guidolin, Massimo & Timmermann, Allan, 2007. "Properties of equilibrium asset prices under alternative learning schemes," Journal of Economic Dynamics and Control, Elsevier, vol. 31(1), pages 161-217, January.
    15. Marchese, Carla & Montefiori, Marcello, 2005. "Mean voting rule and strategical behavior: an experiment," POLIS Working Papers 49, Institute of Public Policy and Public Choice - POLIS.
    16. Christian Gouriéroux & Joann Jasiak & Alain Monfort, 2016. "Stationary Bubble Equilibria in Rational Expectation Models," Working Papers 2016-31, Center for Research in Economics and Statistics.
    17. Alfred Müller & Marco Scarsini, 2003. "Archimedean Copulae and Positive Dependence," ICER Working Papers - Applied Mathematics Series 25-2003, ICER - International Centre for Economic Research.
    18. Claudio Mattalia, 2003. "Existence of solutions and asset pricing bubbles in general equilibrium models," ICER Working Papers - Applied Mathematics Series 02-2003, ICER - International Centre for Economic Research.
    19. Antonio Lijoi & Igor Prünster & Stephen G. Walker, 2004. "On rates of convergence for posterior distributions in infinite–dimensional models," ICER Working Papers - Applied Mathematics Series 24-2004, ICER - International Centre for Economic Research.
    20. Yu Ren & Yufei Yuan & Cong Xiong, 2013. "House Price Bubbles in China," Working Papers 2013-10-14, Wang Yanan Institute for Studies in Economics (WISE), Xiamen University.
    21. Stefania Ottone, 2008. "Are people Samaritans or Avengers?," Economics Bulletin, AccessEcon, vol. 3(10), pages 1-3.
    22. Enrico Diecidue & Fabio Maccheroni, 2002. "Coherence without Additivity," ICER Working Papers - Applied Mathematics Series 10-2002, ICER - International Centre for Economic Research.
    23. Bernardi, Luigi & Fraschini, Angela, 2005. "Tax system and tax reforms in India," POLIS Working Papers 45, Institute of Public Policy and Public Choice - POLIS.
    24. Takashi Kamihigashi, 2015. "A Simple No-Bubble Theorem for Deterministic Dynamic Economies," Discussion Paper Series DP2015-24, Research Institute for Economics & Business Administration, Kobe University.
    25. Bissey, Marie-Edith & Canegallo, Claudia & Ortona, Guido & Scacciati, Francesco, 2003. "Competition vs. Cooperation. An Experimental Inquiry," POLIS Working Papers 37, Institute of Public Policy and Public Choice - POLIS.
    26. Tomohiro Hirano & Alexis Akira Toda, 2025. "Bubble Necessity Theorem," Journal of Political Economy, University of Chicago Press, vol. 133(1), pages 111-145.
    27. Matthew S. Yiu & Jun Yu & Lu Jin, 2012. "Detecting Bubbles in Hong Kong Residential Property Market," Working Papers 31-2012, Singapore Management University, School of Economics.
    28. Zanola, Roberto, 2000. "Public goods versus publicly provided private goods in a two-class economy," POLIS Working Papers 12, Institute of Public Policy and Public Choice - POLIS.
    29. Ortona, Guido & Ottone, Stefania & Ponzano, Ferruccio, 2005. "A simulative assessment of the Italian electoral system," POLIS Working Papers 53, Institute of Public Policy and Public Choice - POLIS.
    30. Ottone, Stefania, 2004. "Transfers and Altruistic Punishments in Third Party Punishment Game Experiments," POLIS Working Papers 41, Institute of Public Policy and Public Choice - POLIS.
    31. Renault, Jerome & Scarlatti, Sergio & Scarsini, Marco, 2005. "A folk theorem for minority games," Games and Economic Behavior, Elsevier, vol. 53(2), pages 208-230, November.
    32. Montrucchio, Luigi & Privileggi, Fabio, 2001. "On Fragility of Bubbles in Equilibrium Asset Pricing Models of Lucas-Type," Journal of Economic Theory, Elsevier, vol. 101(1), pages 158-188, November.
    33. Nicita Antonio & Ramello Giovanni B., 2007. "Property, Liability and Market Power: The Antitrust Side of Copyright," Review of Law & Economics, De Gruyter, vol. 3(3), pages 767-791, December.
    34. Bejan, Camelia & Bidian, Florin, 2010. "Limited enforcement, bubbles and trading in incomplete markets," MPRA Paper 36819, University Library of Munich, Germany, revised 20 Feb 2012.
    35. Marie-Edith Bissey & Mauro Carini & Guido Ortona, 2004. "ALEX3: a Simulation Program to Compare Electoral Systems," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 7(3), pages 1-3.
    36. Salvatore Modica & Marco Scarsini, 2003. "The convexity-cone approach to comparative risk and downside risk," ICER Working Papers - Applied Mathematics Series 01-2003, ICER - International Centre for Economic Research.
    37. Ortona, Guido & Ottone, Stefania & Ponzano, Ferruccio & Scacciati, Francesco, 2008. "Labour supply in presence of taxation financing public services. An experimental approach," Journal of Economic Psychology, Elsevier, vol. 29(5), pages 619-631, November.
    38. Tomohiro Hirano & Alexis Akira Toda, 2023. "Bubble Economics," Papers 2311.03638, arXiv.org, revised Dec 2023.
    39. Charles Ka-Yui Leung, 2004. "Macroeconomics and Housing: A Review of the Literature," Departmental Working Papers _164, Chinese University of Hong Kong, Department of Economics.
    40. Takashi Kamihigashi, 2002. "Necessity of Transversality Conditions for Stochastic Problems," Discussion Paper Series 128, Research Institute for Economics & Business Administration, Kobe University.
    41. Cugno, Franco & Ottoz, Elisabetta, 2006. "Static inefficiency of compulsory licensing: Quantity vs. price competition," POLIS Working Papers 73, Institute of Public Policy and Public Choice - POLIS.
    42. Levaggi, Rosella & Montefiori, Marcello, 2005. "It takes three to tango: Soft budget constraint and cream skimming in the hospital care market," POLIS Working Papers 48, Institute of Public Policy and Public Choice - POLIS.
    43. Matthew S. Yiu & Lu Jin, 2012. "Detecting Bubbles in the Hong Kong Residential Property Market: An Explosive-Pattern Approach," Working Papers 012012, Hong Kong Institute for Monetary Research.
    44. Breton, Albert & Scott, Anthony & Fraschini, Angela, 2007. "Explaining differences in environmental governance patterns between Canada, Italy and the United States," POLIS Working Papers 87, Institute of Public Policy and Public Choice - POLIS.
    45. Ortona, Guido, 2004. "Voting for the Electoral System: an Experiment," POLIS Working Papers 42, Institute of Public Policy and Public Choice - POLIS.
    46. Fabio Maccheroni & William H. Ruckle, 2001. "BV as a dual space," ICER Working Papers - Applied Mathematics Series 29-2001, ICER - International Centre for Economic Research.
    47. Takashi Kamihigashi, 2007. "The Spirit of Capitalism, Stock Market Bubbles, and Output Fluctuations," Discussion Paper Series 205, Research Institute for Economics & Business Administration, Kobe University, revised Oct 2007.
    48. Guido Ortona, 2000. "On the Xenophobia of non-discriminated Ethnic Minorities," POLIS Working Papers 15, Institute of Public Policy and Public Choice - POLIS.
    49. Ponzano, Ferruccio, 2005. "Optimal provision of public goods under imperfect intergovernmental competition," POLIS Working Papers 44, Institute of Public Policy and Public Choice - POLIS.
    50. Kamihigashi, Takashi, 2018. "A Simple optimality-based no-bubble theorem for deterministic sequential economies with strictly monotone preferences," Mathematical Social Sciences, Elsevier, vol. 91(C), pages 36-41.
    51. Bissey, Marie-Edith & Ortona, Guido, 2002. "A simulative frame to study the integration of defectors in a cooperative setting," POLIS Working Papers 24, Institute of Public Policy and Public Choice - POLIS.
    52. Di Novi, Cinzia, 2003. "Regolazione dei prezzi o razionamento: l'efficacia dei due sistemi di allocazione nella fornitura di risorse scarse a coloro che ne hanno maggiore necessita'.," POLIS Working Papers 35, Institute of Public Policy and Public Choice - POLIS.
    53. Manuel Santos & Juan Pablo Rincon-Zapatero, 2007. "Differentiability of the Value Function without Interiority Assumptions," Working Papers 0704, University of Miami, Department of Economics.
    54. Ponzano, Ferruccio, 2004. "The allocation of the income tax among different levels of government: a theoretical solution," POLIS Working Papers 40, Institute of Public Policy and Public Choice - POLIS.
    55. Massimo Marinacci & Paolo Ghirardato, 2001. "Risk, ambiguity, and the separation of utility and beliefs," ICER Working Papers - Applied Mathematics Series 21-2001, ICER - International Centre for Economic Research.
    56. Bissey, Marie-Edith & Ortona, Guido, 2007. "The program for the simulation of electoral systems ALEX4.1: what it does and how to use it," POLIS Working Papers 82, Institute of Public Policy and Public Choice - POLIS.
    57. Stefania Ottone & Ferrucio Ponzano & Roberto Ricciuti, 2009. "Simulating Voting Rule Reforms for the Italian Parliament: An Economic Perspective," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 3(3), pages 292-304, October.
    58. Bia, Michela, 2007. "The Propensity Score method in public policy evaluation: a survey," POLIS Working Papers 79, Institute of Public Policy and Public Choice - POLIS.
    59. Breton, Albert & Fraschini, Angela, 2004. "Intergovernmental equalization grants: some fundamental principles," POLIS Working Papers 39, Institute of Public Policy and Public Choice - POLIS.
    60. Takashi Kamihigashi & Ryonghun Im, 2022. "Two Types of Asset Bubbles in a Small Open Economy," Discussion Paper Series DP2022-15, Research Institute for Economics & Business Administration, Kobe University.
    61. Bidian, Florin, 2015. "Portfolio constraints, differences in beliefs and bubbles," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 317-326.
    62. Antonio Lijoi & Igor Prünster & Stephen G. Walker, 2004. "Contributions to the understanding of Bayesian consistency," ICER Working Papers - Applied Mathematics Series 13-2004, ICER - International Centre for Economic Research.
    63. Erio Castagnoli & Fabio Maccheroni & Massimo Marinacci, 2002. "Insurance Premia Consistent with the Market," ICER Working Papers - Applied Mathematics Series 24-2002, ICER - International Centre for Economic Research.
    64. Ponzano, Ferruccio, 2005. "Competition among different levels of government: the re-election problem," POLIS Working Papers 47, Institute of Public Policy and Public Choice - POLIS.
    65. Ottone, Stefania, 2005. "Transfers and Altruistic Punishments in Solomon's Game experiments," POLIS Working Papers 50, Institute of Public Policy and Public Choice - POLIS.
    66. Marchese, Carla & Privileggi, Fabio, 2007. "Increasing the efficiency of the 'Studi di Settore' might backfire," POLIS Working Papers 83, Institute of Public Policy and Public Choice - POLIS.
    67. Mitra, Tapan & Privileggi, Fabio, 2006. "Cantor type attractors in stochastic growth models," Chaos, Solitons & Fractals, Elsevier, vol. 29(3), pages 626-637.
    68. Gobbi, Michela, 2003. "A Viable Alternative: the Scandinavian Model of "Social Democracy"," POLIS Working Papers 32, Institute of Public Policy and Public Choice - POLIS.
    69. Fernando Díaz & Rodrigo Sánchez, 2001. "Acciones Tecnológicas: ¿Un Episodio De Burbujas Especulativas En El Mercado?," Abante, Escuela de Administracion. Pontificia Universidad Católica de Chile., vol. 4(1), pages 37-82.
    70. Takashi Kamihigashi, 2015. "A Simple No-Bubble Theorem," Discussion Paper Series DP2015-03, Research Institute for Economics & Business Administration, Kobe University.
    71. Antonio Lijoi & Igor Prünster & Stephen G. Walker, 2004. "On consistency of nonparametric normal mixtures for Bayesian density estimation," ICER Working Papers - Applied Mathematics Series 23-2004, ICER - International Centre for Economic Research.
    72. Bia, Michela & Mattei, Alessandra, 2007. "Application of the Generalized Propensity Score. Evaluation of public contributions to Piedmont enterprises," POLIS Working Papers 80, Institute of Public Policy and Public Choice - POLIS.
    73. Ottone, Stefania, 2001. "L'altruismo: atteggiamento irrazionale, strategia vincente o amore per il prossimo?," POLIS Working Papers 19, Institute of Public Policy and Public Choice - POLIS.
    74. Ottone, Stefania & Ponzano, Ferruccio, 2005. "An Extension to the Model of Inequity Aversion by Fehr and Schmidt," POLIS Working Papers 51, Institute of Public Policy and Public Choice - POLIS.

  20. Montrucchio, L., 1988. "Dynamical Systems That Solve Continuous-Time Concave Optimization Problems Anything Goes," UFAE and IAE Working Papers 109-89, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).

    Cited by:

    1. Willi Semmler & Malte Sieveking, 1994. "On the optimal exploitation of interacting resources," Journal of Economics, Springer, vol. 59(1), pages 23-49, February.
    2. Wolff, Reiner, 1997. "Saddle-point dynamics in non-autonomous models of multisector growth with variable returns to scale," Journal of Mathematical Economics, Elsevier, vol. 27(3), pages 267-282, April.
    3. F. Wirl, 2007. "Social Interactions within a Dynamic Competitive Economy," Journal of Optimization Theory and Applications, Springer, vol. 133(3), pages 385-400, June.
    4. Anjan Mukherji, 2003. "Competitive Equilibria: Convergence, Cycles or Chaos," ISER Discussion Paper 0591, Institute of Social and Economic Research, Osaka University.
    5. De Mello, L. Jr., 1995. "Vintage capital accumulation: Endogenous growth conditions," Journal of Macroeconomics, Elsevier, vol. 17(4), pages 703-716.
    6. Montrucchio, Luigi, 1995. "A turnpike theorem for continuous-time optimal-control models," Journal of Economic Dynamics and Control, Elsevier, vol. 19(3), pages 599-619, April.
    7. Kopel, M. & Dawid, H. & Feichtinger, G., 1998. "Periodic and chaotic programs of intertemporal optimization models with non-concave net benefit function," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 435-447, January.

  21. Michele Boldrin & Luigi Montrucchio, 1987. "Acyclicity and Dynamic Stability: Generalizations and Applications," Discussion Papers 980, Northwestern University, Center for Mathematical Studies in Economics and Management Science.

    Cited by:

    1. Marcus Hagedorn, 2007. "Optimal Ramsey Tax Cycles," IEW - Working Papers 354, Institute for Empirical Research in Economics - University of Zurich.

Articles

  1. Tommaso Denti & Massimo Marinacci & Luigi Montrucchio, 2020. "A note on rational inattention and rate distortion theory," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(1), pages 75-89, June.

    Cited by:

    1. Gianluca Cassese & Pietro Rigo & Barbara Vantaggi, 2020. "A special issue on the mathematics of subjective probability," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(1), pages 1-2, June.
    2. Doron Ravid, 2020. "Ultimatum Bargaining with Rational Inattention," American Economic Review, American Economic Association, vol. 110(9), pages 2948-2963, September.
    3. Pierpaolo Angelini & Fabrizio Maturo, 2020. "Non-Parametric Probability Distributions Embedded Inside of a Linear Space Provided with a Quadratic Metric," Mathematics, MDPI, vol. 8(11), pages 1-17, October.

  2. Cerreia-Vioglio, Simone & Maccheroni, Fabio & Marinacci, Massimo & Montrucchio, Luigi, 2013. "Ambiguity and robust statistics," Journal of Economic Theory, Elsevier, vol. 148(3), pages 974-1049.
    • Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Luigi Montrucchio, 2011. "Ambiguity and Robust Statistics," Working Papers 382, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    See citations under working paper version above.
  3. Cerreia-Vioglio, Simone & Maccheroni, Fabio & Marinacci, Massimo & Montrucchio, Luigi, 2012. "Probabilistic sophistication, second order stochastic dominance and uncertainty aversion," Journal of Mathematical Economics, Elsevier, vol. 48(5), pages 271-283.
    See citations under working paper version above.
  4. Cerreia-Vioglio, S. & Maccheroni, F. & Marinacci, M. & Montrucchio, L., 2011. "Uncertainty averse preferences," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1275-1330, July.
    See citations under working paper version above.
  5. Marinacci, Massimo & Montrucchio, Luigi, 2010. "Unique solutions for stochastic recursive utilities," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1776-1804, September.

    Cited by:

    1. Lorenzo Maria Stanca, 2023. "Recursive Preferences, Correlation Aversion, and the Temporal Resolution of Uncertainty," Papers 2304.04599, arXiv.org, revised Jan 2025.
    2. Luca De Gennaro Aquino & Sascha Desmettre & Yevhen Havrylenko & Mogens Steffensen, 2024. "Equilibrium control theory for Kihlstrom-Mirman preferences in continuous time," Papers 2407.16525, arXiv.org, revised Oct 2024.
    3. Lars Peter Hansen & Jose A. Scheinkman, 2012. "Recursive utility in a Markov environment with stochastic growth," Working Papers 1380, Princeton University, Department of Economics, Econometric Research Program..
    4. Loïc Berger & Johannes Emmerling, 2017. "Welfare as Simple(x) Equity Equivalents," Working Papers 2017.14, Fondazione Eni Enrico Mattei.
    5. Francesco Fabbri & Giulio Principi & Lorenzo Stanca, 2024. "Absolute and Relative Ambiguity Attitudes," Papers 2406.01343, arXiv.org, revised Jun 2024.
    6. Loïc Berger & Johannes Emmerling, 2020. "Welfare As Equity Equivalents," Journal of Economic Surveys, Wiley Blackwell, vol. 34(4), pages 727-752, September.
    7. Jaroslav Borovicka & John Stachurski, 2017. "Necessary and Sufficient Conditions for Existence and Uniqueness of Recursive Utilities," Papers 1710.06526, arXiv.org, revised Apr 2019.
    8. V. Filipe Martins-da-Rocha & Yiannis Vailakis, 2013. "Fixed point for local contractions: Applications to recursive utility," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(1), pages 23-33, March.
    9. Łukasz Balbus, 2020. "On recursive utilities with non-affine aggregator and conditional certainty equivalent," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(2), pages 551-577, September.
    10. Philippe Bich & Jean-Pierre Drugeon & Lisa Morhaim, 2018. "On Temporal Aggregators and Dynamic Programming," PSE-Ecole d'économie de Paris (Postprint) halshs-01437496, HAL.
    11. Jing Guo & Xue Dong He, 2021. "Recursive Utility with Investment Gains and Losses: Existence, Uniqueness, and Convergence," Papers 2107.05163, arXiv.org.
    12. Walter Pohl & Karl Schmedders & Ole Wilms, 2018. "Higher Order Effects in Asset Pricing Models with Long‐Run Risks," Journal of Finance, American Finance Association, vol. 73(3), pages 1061-1111, June.
    13. Eric Swanson, 2018. "Risk Aversion, Risk Premia, and the Labor Margin with Generalized Recursive Preferences," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 28, pages 290-321, April.
    14. Kochov, Asen & Song, Yangwei, 2022. "Intertemporal Hedging and Trade in Repeated Games with Recursive Utility," Rationality and Competition Discussion Paper Series 361, CRC TRR 190 Rationality and Competition.
    15. Bloise, Gaetano & Vailakis, Yiannis, 2018. "Convex dynamic programming with (bounded) recursive utility," Journal of Economic Theory, Elsevier, vol. 173(C), pages 118-141.
    16. de Castro, Luciano I. & Galvao, Antonio F. & Nunes, Daniel da Siva, 2025. "Dynamic economics with quantile preferences," Theoretical Economics, Econometric Society, vol. 20(1), January.
    17. Gaetano Bloise & Cuong Le Van & Yiannis Vailakis, 2024. "Do not Blame Bellman: It Is Koopmans' Fault," Econometrica, Econometric Society, vol. 92(1), pages 111-140, January.
    18. Holger Kraft & Thomas Seiferling & Frank Thomas Seifried, 2017. "Optimal consumption and investment with Epstein–Zin recursive utility," Finance and Stochastics, Springer, vol. 21(1), pages 187-226, January.
    19. Gaetano Bloise, 2013. "The structure of competitive equilibrium with unsecured debt," Departmental Working Papers of Economics - University 'Roma Tre' 0187, Department of Economics - University Roma Tre.
    20. Robert A. Becker & Juan Pablo Rincón-Zapatero, 2017. "Arbitration and Renegotiation in Trade Agreements," CAEPR Working Papers 2017-007, Center for Applied Economics and Policy Research, Department of Economics, Indiana University Bloomington.
    21. Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Luigi Montrucchio, 2011. "Classical Subjective Expected Utility," Working Papers 400, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    22. Meng Yu & Junnan Zhang, 2019. "Equilibrium in Production Chains with Multiple Upstream Partners," Papers 1908.08208, arXiv.org.
    23. Robert Becker & Juan Pablo Rincon-Zapatero, 2018. "Recursive Utility and Thompson Aggregators, I: Constructive Existence Theory for the Koopmans Equation," CAEPR Working Papers 2018-006, Center for Applied Economics and Policy Research, Department of Economics, Indiana University Bloomington.
    24. He, Ying, 2024. "Recursive two-stage evaluation model for dynamic decision making under ambiguity," Journal of Mathematical Economics, Elsevier, vol. 113(C).
    25. Patrick Augustin & Roméo Tédongap, 2021. "Disappointment Aversion, Term Structure, and Predictability Puzzles in Bond Markets," Management Science, INFORMS, vol. 67(10), pages 6266-6293, October.
    26. Kraft, Holger & Seifried, Frank Thomas, 2013. "Stochastic differential utility as the continuous-time limit of recursive utility," SAFE Working Paper Series 17, Leibniz Institute for Financial Research SAFE.
    27. Al-Najjar, Nabil I. & Shmaya, Eran, 2019. "Recursive utility and parameter uncertainty," Journal of Economic Theory, Elsevier, vol. 181(C), pages 274-288.
    28. Nicola Pavoni & Christopher Sleet & Matthias Messner, 2018. "The Dual Approach to Recursive Optimization: Theory and Examples," Econometrica, Econometric Society, vol. 86(1), pages 133-172, January.
    29. Thomas J. Sargent & John Stachurski, 2024. "Dynamic Programming: Finite States," Papers 2401.10473, arXiv.org.
    30. Massimo Marinacci & Luigi Montrucchio, 2017. "Unique Tarski Fixed Points," Working Papers 604, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    31. Lorenzo Stanca, 2023. "Recursive Preferences, Correlation Aversion, and the Temporal Resolution of Uncertainty," Carlo Alberto Notebooks 693 JEL Classification: C, Collegio Carlo Alberto, revised 2025.
    32. Anna Jaśkiewicz & Janusz Matkowski & Andrzej Nowak, 2014. "On variable discounting in dynamic programming: applications to resource extraction and other economic models," Annals of Operations Research, Springer, vol. 220(1), pages 263-278, September.
    33. Balbus, Łukasz & Reffett, Kevin & Woźny, Łukasz, 2022. "Time-consistent equilibria in dynamic models with recursive payoffs and behavioral discounting," Journal of Economic Theory, Elsevier, vol. 204(C).
    34. Bloise, G. & Van, C. Le & Vailakis, Y., 2024. "An approximation approach to dynamic programming with unbounded returns," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    35. Philippe Bich & Jean-Pierre Drugeon & Lisa Morhaim, 2018. "On Temporal Aggregators and Dynamic Programming," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01437496, HAL.
    36. Gaetano Bloise, 2020. "Unique Markov Equilibrium Under Limited Commitment," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 61(2), pages 721-751, May.
    37. Stanca Lorenzo, 2023. "Recursive preferences, correlation aversion, and the temporal resolution of uncertainty," Working papers 080, Department of Economics, Social Studies, Applied Mathematics and Statistics (Dipartimento di Scienze Economico-Sociali e Matematico-Statistiche), University of Torino.
    38. Gaetano Bloise & Paolo Siconolfi, 2022. "A Negishi Approach to Recursive Contracts," Econometrica, Econometric Society, vol. 90(6), pages 2821-2855, November.
    39. Kraft, Holger & Seifried, Frank Thomas, 2014. "Stochastic differential utility as the continuous-time limit of recursive utility," Journal of Economic Theory, Elsevier, vol. 151(C), pages 528-550.
    40. Boucekkine, Raouf & Seegmuller, Thomas & Venditti, Alain, 2021. "Advances in growth and macroeconomic dynamics: In memory of Carine Nourry," Mathematical Social Sciences, Elsevier, vol. 112(C), pages 1-6.
    41. Łukasz Balbus & Kevin Reffett & Łukasz Woźny, 2015. "Time consistent Markov policies in dynamic economies with quasi-hyperbolic consumers," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(1), pages 83-112, February.
    42. Christensen, Timothy M., 2022. "Existence and uniqueness of recursive utilities without boundedness," Journal of Economic Theory, Elsevier, vol. 200(C).
    43. Stachurski, John & Wilms, Ole & Zhang, Junnan, 2024. "Asset pricing with time preference shocks: Existence and uniqueness," Other publications TiSEM 29da00af-3cca-4717-aa55-a, Tilburg University, School of Economics and Management.
    44. Massimo Marinacci, 2015. "Model Uncertainty," Working Papers 553, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    45. Todd Sarver, 2012. "Optimal Reference Points and Anticipation," Discussion Papers 1566, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    46. Timothy M. Christensen, 2020. "Existence and uniqueness of recursive utilities without boundedness," Papers 2008.00963, arXiv.org, revised Aug 2021.
    47. Alan Beggs, 2015. "Reference Points and Learning," Economics Series Working Papers 767, University of Oxford, Department of Economics.
    48. Becker, Robert A. & Rincón-Zapatero, Juan Pablo, 2021. "Thompson aggregators, Scott continuous Koopmans operators, and Least Fixed Point theory," Mathematical Social Sciences, Elsevier, vol. 112(C), pages 84-97.
    49. Yu, Meng & Zhang, Junnan, 2019. "Equilibrium in production chains with multiple upstream partners," Journal of Mathematical Economics, Elsevier, vol. 83(C), pages 1-10.
    50. Toda, Alexis Akira, 2014. "Incomplete market dynamics and cross-sectional distributions," Journal of Economic Theory, Elsevier, vol. 154(C), pages 310-348.
    51. Guanlong Ren & John Stachurski, 2018. "Dynamic Programming with Recursive Preferences: Optimality and Applications," Papers 1812.05748, arXiv.org, revised Jun 2020.
    52. Daniele Pennesi, 2013. "Asset Prices in an Ambiguous Economy," Carlo Alberto Notebooks 315, Collegio Carlo Alberto.
    53. Kraft, Holger & Seiferling, Thomas & Seifried, Frank Thomas, 2016. "Optimal consumption and investment with Epstein-Zin recursive utility," SAFE Working Paper Series 52, Leibniz Institute for Financial Research SAFE, revised 2016.
    54. Stachurski, John & Wilms, Ole & Zhang, Junnan, 2024. "Asset pricing with time preference shocks: Existence and uniqueness," Journal of Economic Theory, Elsevier, vol. 216(C).
    55. Robert Becker & Juan Pablo Rincon-Zapatero, 2018. "Recursive Utility and Thompson Aggregators, II: Uniqueness of the Recursive Utility Representation," CAEPR Working Papers 2018-008, Center for Applied Economics and Policy Research, Department of Economics, Indiana University Bloomington.
    56. Cerreia-Vioglio, Simone & Maccheroni, Fabio & Marinacci, Massimo, 2022. "Ambiguity aversion and wealth effects," Journal of Economic Theory, Elsevier, vol. 199(C).
    57. Guo, Jing & He, Xue Dong, 2021. "A new preference model that allows for narrow framing," Journal of Mathematical Economics, Elsevier, vol. 95(C).
    58. de Castro, Luciano & Galvao, Antonio F. & Muchon, Andre, 2023. "Numerical Solution of Dynamic Quantile Models," Journal of Economic Dynamics and Control, Elsevier, vol. 148(C).

  6. Massimiliano Amarante & Luigi Montrucchio, 2010. "The bargaining set of a large game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(3), pages 313-349, June.

    Cited by:

    1. Massimiliano AMARANTE, 2013. "A Characterization of Exact Non-atomic Market Games," Cahiers de recherche 12-2013, Centre interuniversitaire de recherche en économie quantitative, CIREQ.

  7. Montrucchio, Luigi & Scarsini, Marco, 2007. "Large newsvendor games," Games and Economic Behavior, Elsevier, vol. 58(2), pages 316-337, February.
    See citations under working paper version above.
  8. M. Amarante & F. Maccheroni & M. Marinacci & L. Montrucchio, 2006. "Cores of non-atomic market games," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(3), pages 399-424, October.
    See citations under working paper version above.
  9. Massimo Marinacci & Luigi Montrucchio, 2005. "Stable cores of large games," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(2), pages 189-213, June.

    Cited by:

    1. M. Amarante & F. Maccheroni & M. Marinacci & L. Montrucchio, 2006. "Cores of non-atomic market games," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(3), pages 399-424, October.
    2. Massimiliano Amarante & Luigi Montrucchio, 2010. "The bargaining set of a large game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(3), pages 313-349, June.
    3. Massimiliano Amarante & Luigi Montrucchio, 2007. "Mas-Colell Bargaining Set of Large Games," Carlo Alberto Notebooks 63, Collegio Carlo Alberto.
    4. Alain Chateauneuf & Fabio Macheronni & Massimo Marinacci & Jean-Marc Tallon, 2005. "Monotone continuous multiple priors," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00177057, HAL.
    5. Luigi Montrucchio & Patrizia Semeraro, 2006. "Refinement Derivatives and Values of Games," Carlo Alberto Notebooks 9, Collegio Carlo Alberto.

  10. Marinacci, Massimo & Montrucchio, Luigi, 2004. "A characterization of the core of convex games through Gateaux derivatives," Journal of Economic Theory, Elsevier, vol. 116(2), pages 229-248, June.

    Cited by:

    1. Thibault Gadjos & Eric Maurin, 2002. "Unequal Uncertainties and Uncertain Inequalities : An Axiomatic Approach," Working Papers 2002-32, Center for Research in Economics and Statistics.
    2. Fabio Maccheroni & Fabio Maccheroni & Massimo Marinacci & Massimo Marinacci, 2003. "How to cut a pizza fairly: Fair division with decreasing marginal evaluations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 20(3), pages 457-465, June.
    3. Thibault Gadjos & Jean-Marc Tallon & Jean-Christophe Vergnaud, 2002. "Decision Making with Imprecise Probabilistic Information," Working Papers 2002-33, Center for Research in Economics and Statistics.
    4. Taizhong Hu & Alfred Müller & Marco Scarsini, 2002. "Some Counterexamples in Positive Dependence," ICER Working Papers - Applied Mathematics Series 28-2003, ICER - International Centre for Economic Research, revised Jul 2003.
    5. Alfred Müller & Marco Scarsini, 2003. "Archimedean Copulae and Positive Dependence," ICER Working Papers - Applied Mathematics Series 25-2003, ICER - International Centre for Economic Research.
    6. Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo, 2002. "Ambiguity from the Differential Viewpoint," Working Papers 1130, California Institute of Technology, Division of the Humanities and Social Sciences.
    7. Antonio Lijoi & Igor Prünster & Stephen G. Walker, 2004. "On rates of convergence for posterior distributions in infinite–dimensional models," ICER Working Papers - Applied Mathematics Series 24-2004, ICER - International Centre for Economic Research.
    8. Renault, Jerome & Scarlatti, Sergio & Scarsini, Marco, 2005. "A folk theorem for minority games," Games and Economic Behavior, Elsevier, vol. 53(2), pages 208-230, November.
    9. Salvatore Modica & Marco Scarsini, 2003. "The convexity-cone approach to comparative risk and downside risk," ICER Working Papers - Applied Mathematics Series 01-2003, ICER - International Centre for Economic Research.
    10. Tsanakas, Andreas, 2009. "To split or not to split: Capital allocation with convex risk measures," Insurance: Mathematics and Economics, Elsevier, vol. 44(2), pages 268-277, April.
    11. Massimo Marinacci & Luigi Montrucchio, 2001. "Subcalculus for set functions and cores of TU games," ICER Working Papers - Applied Mathematics Series 09-2001, ICER - International Centre for Economic Research.
    12. Massimo Marinacci & Luigi Montrucchio, 2003. "Ultramodular functions," ICER Working Papers - Applied Mathematics Series 13-2003, ICER - International Centre for Economic Research.
    13. Carlier, G., 2005. "Representation of the core of convex measure games via Kantorovich potentials," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 898-912, November.
    14. Boonen, Tim J. & Ghossoub, Mario, 2023. "Bowley vs. Pareto optima in reinsurance contracting," European Journal of Operational Research, Elsevier, vol. 307(1), pages 382-391.
    15. Antonio Lijoi & Igor Prünster & Stephen G. Walker, 2004. "Contributions to the understanding of Bayesian consistency," ICER Working Papers - Applied Mathematics Series 13-2004, ICER - International Centre for Economic Research.
    16. Erio Castagnoli & Fabio Maccheroni & Massimo Marinacci, 2002. "Insurance Premia Consistent with the Market," ICER Working Papers - Applied Mathematics Series 24-2002, ICER - International Centre for Economic Research.
    17. Massimo Marinacci & Luigi Montrucchio, 2003. "Cores and stable sets of finite dimensional games," ICER Working Papers - Applied Mathematics Series 07-2003, ICER - International Centre for Economic Research.
    18. Antonio Lijoi & Igor Prünster & Stephen G. Walker, 2004. "On consistency of nonparametric normal mixtures for Bayesian density estimation," ICER Working Papers - Applied Mathematics Series 23-2004, ICER - International Centre for Economic Research.
    19. Gabriele Canna & Francesca Centrone & Emanuela Rosazza Gianin, 2021. "Capital Allocation Rules and the No-Undercut Property," Mathematics, MDPI, vol. 9(2), pages 1-13, January.
    20. Takaaki Abe & Satoshi Nakada, 2023. "Core stability of the Shapley value for cooperative games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(4), pages 523-543, May.
    21. Takaaki Abe & Satoshi Nakada, 2018. "Generalized Potentials, Value, and Core," Discussion Paper Series DP2018-19, Research Institute for Economics & Business Administration, Kobe University.

  11. Luigi Montrucchio, 2004. "Cass transversality condition and sequential asset bubbles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(3), pages 645-663, October.

    Cited by:

    1. Stefano BOSI & Cuong LE VAN & Ngoc-Sang PHAM, 2016. "Asset bubbles and efficiency in a generalized two-sector model," Documents de recherche 16-04, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
    2. Takashi Kamihigashi, 2015. "A Simple No-Bubble Theorem for Deterministic Sequential Economies," Discussion Paper Series DP2015-38, Research Institute for Economics & Business Administration, Kobe University.
    3. Cuong Le Van & Stefano Bosi & Ngoc-Sang Pham, 2017. "Rational land and housing bubbles in infinite-horizon economies," Post-Print halshs-01397606, HAL.
    4. Takashi Kamihigashi, 2016. "A Simple Optimality-Based No-Bubble Theorem for Deterministic Sequential Economies," Discussion Paper Series DP2016-22, Research Institute for Economics & Business Administration, Kobe University.
    5. Cuong Le Van & Ngoc-Sang Pham, 2016. "Intertemporal equilibrium with financial asset and physical capital," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(1), pages 155-199, June.
    6. Stefano Bosi & Cuong Le Van & Ngoc-Sang Pham, 2015. "Intertemporal equilibrium with heterogeneous agents, endogenous dividends and collateral constraints," Documents de travail du Centre d'Economie de la Sorbonne 15067r, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised Feb 2017.
    7. Tomohiro HIRANO & Alexis Akira Toda, 2024. "Housing Bubbles with Phase Transitions," CIGS Working Paper Series 24-009E, The Canon Institute for Global Studies.
    8. Takashi Kamihigashi, 2015. "A Simple No-Bubble Theorem for Deterministic Dynamic Economies," Discussion Paper Series DP2015-24, Research Institute for Economics & Business Administration, Kobe University.
    9. Tomohiro Hirano & Alexis Akira Toda, 2025. "Bubble Necessity Theorem," Journal of Political Economy, University of Chicago Press, vol. 133(1), pages 111-145.
    10. Pham, Ngoc-Sang, 2017. "Assets with possibly negative dividends," MPRA Paper 78193, University Library of Munich, Germany.
    11. Stefano Bosi & Cuong Le Van & Ngoc-Sang Pham, 2015. "Intertemporal equilibrium with heterogeneous agents, endogenous dividends and borrowing constraints," Documents de travail du Centre d'Economie de la Sorbonne 15067, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    12. Pham, Ngoc-Sang, 2017. "Dividend taxation in an infinite-horizon general equilibrium model," MPRA Paper 80580, University Library of Munich, Germany.
    13. Stefano Bosi & Thai Ha-Huy & Cuong Le Van & Cao-Tung Pham & Ngoc-Sang Pham, 2018. "Financial bubbles and capital accumulation in altruistic economies," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-02878049, HAL.
    14. Tomohiro Hirano & Alexis Akira Toda, 2023. "Bubble Economics," Papers 2311.03638, arXiv.org, revised Dec 2023.
    15. Guido Cazzavillan & Patrick Pintus, 2006. "Endogenous Business Cycles and Dynamic Inefficiency," Working Papers 2006_37, Department of Economics, University of Venice "Ca' Foscari".
    16. Kamihigashi, Takashi, 2018. "A Simple optimality-based no-bubble theorem for deterministic sequential economies with strictly monotone preferences," Mathematical Social Sciences, Elsevier, vol. 91(C), pages 36-41.
    17. Bosi, Stefano & Le Van, Cuong & Pham, Ngoc-Sang, 2022. "Real indeterminacy and dynamics of asset price bubbles in general equilibrium," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    18. Eduardo Giménez, 2007. "On the positive fundamental value of money with short-sale constraints," Annals of Finance, Springer, vol. 3(4), pages 455-469, October.
    19. Stefano Bosi & Thai Ha‐Huy & Cao‐Tung Pham & Ngoc‐Sang Pham, 2022. "Ascendant altruism and asset price bubbles," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(4), pages 532-551, December.
    20. Pham, Ngoc-Sang, 2024. "The relationship between general equilibrium models with infinite-lived agents and overlapping generations models, and some applications," MPRA Paper 122659, University Library of Munich, Germany.
    21. Tomohiro Hirano & Alexis Akira Toda, 2024. "Rational Bubbles: A Clarification," Papers 2407.14017, arXiv.org.
    22. Pham, Ngoc-Sang, 2023. "Intertemporal equilibrium with physical capital and financial asset: Role of dividend taxation," Mathematical Social Sciences, Elsevier, vol. 123(C), pages 95-104.
    23. Ngoc-Sang Pham, 2024. "The relationship between general equilibrium models with infinite-lived agents and overlapping generations models, and some applications," Papers 2411.07674, arXiv.org, revised Feb 2025.
    24. Takashi Kamihigashi, 2015. "A Simple No-Bubble Theorem," Discussion Paper Series DP2015-03, Research Institute for Economics & Business Administration, Kobe University.
    25. Wan, Junmin, 2018. "Prevention and landing of bubble," International Review of Economics & Finance, Elsevier, vol. 56(C), pages 190-204.
    26. Wan, Junmin, 2024. "Bubble occurrence and landing," Journal of Financial Stability, Elsevier, vol. 70(C).

  12. Marinacci, Massimo & Montrucchio, Luigi, 2003. "Subcalculus for set functions and cores of TU games," Journal of Mathematical Economics, Elsevier, vol. 39(1-2), pages 1-25, February.
    See citations under working paper version above.
  13. Tapan Mitra & Luigi Montrucchio & Fabio Privileggi, 2003. "The nature of the steady state in models of optimal growth under uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(1), pages 39-71, December.
    See citations under working paper version above.
  14. Montrucchio, Luigi & Privileggi, Fabio, 2001. "On Fragility of Bubbles in Equilibrium Asset Pricing Models of Lucas-Type," Journal of Economic Theory, Elsevier, vol. 101(1), pages 158-188, November.
    See citations under working paper version above.
  15. Maria Luisa Gota & Luigi Montrucchio, 1999. "On Lipschitz continuity of policy functions in continuous-time optimal growth models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(2), pages 479-488.

    Cited by:

    1. Aliprantis, C.D. & Camera, G. & Ruscitti, F., 2007. "Monetary Equilibrium and the Differentiability of the Value Function," Purdue University Economics Working Papers 1199, Purdue University, Department of Economics.
    2. Colin Rowat, 2005. "Non-Linear Strategies in a Linear Quadratic Differential Game," Discussion Papers 05-05, Department of Economics, University of Birmingham.
    3. Alain Venditti, 2011. "Weak Concavity Properties of Indirect Utility Functions in Multisector Optimal Growth Models," Working Papers halshs-01059589, HAL.
    4. Aliprantis, C.D. & Camera, G. & Ruscitti, F., 2009. "Monetary equilibrium and the differentiability of the value function," Journal of Economic Dynamics and Control, Elsevier, vol. 33(2), pages 454-462, February.

  16. M. Marena & L. Montrucchio, 1999. "Neighborhood Turnpike Theorem for Continuous-Time Optimization Models," Journal of Optimization Theory and Applications, Springer, vol. 101(3), pages 651-676, June.

    Cited by:

    1. Alain Venditti, 2011. "Weak Concavity Properties of Indirect Utility Functions in Multisector Optimal Growth Models," Working Papers halshs-01059589, HAL.
    2. Vassili Kolokoltsov & Wei Yang, 2012. "Turnpike Theorems for Markov Games," Dynamic Games and Applications, Springer, vol. 2(3), pages 294-312, September.
    3. Darong Dai, 2013. "Wealth Martingale and Neighborhood Turnpike Property In Dynamically Complete Market With Heterogeneous Investors," Economic Research Guardian, Mutascu Publishing, vol. 3(2), pages 86-110, December.
    4. Dai, Darong, 2011. "Wealth Martingale and Neighborhood Turnpike Property in Dynamically Complete Market with Heterogeneous Investors," MPRA Paper 46416, University Library of Munich, Germany.
    5. Guerrero-Luchtenberg, C.L., 2000. "A uniform neighborhood turnpike theorem and applications," Journal of Mathematical Economics, Elsevier, vol. 34(3), pages 329-357, November.

  17. L. Montrucchio & F. Privileggi, 1999. "Fractal steady states instochastic optimal control models," Annals of Operations Research, Springer, vol. 88(0), pages 183-197, January.

    Cited by:

    1. La Torre, Davide & Marsiglio,Simone & Mendivil, Franklin & Privileggi, Fabio, 2023. "Stochastic Optimal Growth through State-Dependent Probabilities," Department of Economics and Statistics Cognetti de Martiis. Working Papers 202312, University of Turin.
    2. Davide Torre & Simone Marsiglio & Franklin Mendivil & Fabio Privileggi, 2024. "Stochastic disease spreading and containment policies under state-dependent probabilities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(1), pages 127-168, February.
    3. Yuxin Zhao & Shuai Chang & Chang Liu, 2015. "Multifractal theory with its applications in data management," Annals of Operations Research, Springer, vol. 234(1), pages 133-150, November.
    4. La Torre, Davide & Marsiglio, Simone & Privileggi, Fabio, 2018. "Fractal Attractors in Economic Growth Models with Random Pollution Externalities," Department of Economics and Statistics Cognetti de Martiis. Working Papers 201801, University of Turin.
    5. La Torre Davide & Rocca Matteo, 2002. "Approximating continuous functions by iterated function systems and optimization problems," Economics and Quantitative Methods qf0206, Department of Economics, University of Insubria.
    6. Mitra, Tapan & Montrucchio, Luigi & Privileggi, Fabio, 2001. "The Nature of the Steady State in Models of Optimal Growth Under Uncertainty," Working Papers 01-04, Cornell University, Center for Analytic Economics.
    7. Guido Cozzi & Fabio Privileggi, 2002. "Wealth Polarization and Pulverization in Fractal Societies," ICER Working Papers - Applied Mathematics Series 39-2002, ICER - International Centre for Economic Research.
    8. Davide La Torre & Matteo Rocca, 2002. "Approximating continuous functions by iterated function system and optimization," Departmental Working Papers 2002-11, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    9. Torre, Davide La & Marsiglio, Simone & Mendivil, Franklin & Privileggi, Fabio, 2019. "A stochastic economic growth model with health capital and state-dependent probabilities," Chaos, Solitons & Fractals, Elsevier, vol. 129(C), pages 81-93.
    10. Olson, Lars J. & Roy, Santanu, 2005. "Theory of Stochastic Optimal Economic Growth," Working Papers 28601, University of Maryland, Department of Agricultural and Resource Economics.
    11. La Torre, Davide & Marsiglio, Simone & Mendivil, Franklin & Privileggi, Fabio, 2016. "Fractal Attractors and Singular Invariant Measures in Two-Sector Growth Models with Random Factor Shares," Department of Economics and Statistics Cognetti de Martiis. Working Papers 201620, University of Turin.
    12. Gardini, L. & Hommes, C.H. & Tramontana, F. & de Vilder, R., 2009. "Forward and Backward Dynamics in implicitly defined Overlapping Generations Models," CeNDEF Working Papers 09-02, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    13. Guido Cozzi & Fabio Privileggi, 2009. "The fractal nature of inequality in a fast growing world: new version," Working Papers 2009_30, Business School - Economics, University of Glasgow.
    14. Simone Marsiglio & Privileggi, Fabio, 2020. "Three Dimensional Fractal Attractors in a Green Transition Economic Growth Model," Department of Economics and Statistics Cognetti de Martiis. Working Papers 202019, University of Turin.
    15. Stefano Maria Iacus & Davide La Torre, 2002. "Approximating distribution functions by iterated function systems," Departmental Working Papers 2002-03, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    16. Mitra, Tapan & Privileggi, Fabio, 2003. "Cantor Type Invariant Distributions in the Theory of Optimal Growth under Uncertainty," Working Papers 03-09, Cornell University, Center for Analytic Economics.
    17. Davide La Torre & Simone, Marsiglio & Mendivil, Franklin & Privileggi, Fabio, 2015. "Self-Similar Measures in Multi-Sector Endogenous Growth Models," Department of Economics and Statistics Cognetti de Martiis. Working Papers 201509, University of Turin.
    18. Davide LA TORRE, 2001. "On inverse problems for iterated function systems," Departmental Working Papers 2001-11, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    19. Mitra, Tapan & Privileggi, Fabio, 2006. "Cantor type attractors in stochastic growth models," Chaos, Solitons & Fractals, Elsevier, vol. 29(3), pages 626-637.
    20. La Torre, Davide & Marsiglio, Simone & Privileggi, Fabio, 2011. "Fractals and Self-Similarity in Economics: the Case of a Stochastic Two-Sector Growth Model," POLIS Working Papers 157, Institute of Public Policy and Public Choice - POLIS.
    21. La Torre, Davide & Marsiglio, Simone & Mendivil, Franklin & Privileggi, Fabio, 2021. "Generalized Fractal Transforms with Condensation: a Macroeconomic-Epidemiological Application," Department of Economics and Statistics Cognetti de Martiis. Working Papers 202107, University of Turin.
    22. Klaus Reiner Schenk-Hopp�, "undated". "Random Dynamical Systems in Economics," IEW - Working Papers 067, Institute for Empirical Research in Economics - University of Zurich.
    23. Guido Cozzi & Fabio Privileggi, 2007. "The Fractal Nature of Inequality in a Fast Growing World," Working Papers 2007_45, Business School - Economics, University of Glasgow.

  18. Montrucchio, Luigi, 1998. "Thompson metric, contraction property and differentiability of policy functions," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 449-466, January.

    Cited by:

    1. Kazuo Nishimura & Tapan Mitra, 2004. "Intertemporal Complementarity and Optimality: A Study of a Two-Dimensional Dynamical System," Econometric Society 2004 Far Eastern Meetings 543, Econometric Society.
    2. Woźny, Łukasz & Growiec, Jakub, 2008. "Intergenerational interactions in human capital accumulation," MPRA Paper 10308, University Library of Munich, Germany.
    3. Mauro Gaggero & Giorgio Gnecco & Marcello Sanguineti, 2014. "Approximate dynamic programming for stochastic N-stage optimization with application to optimal consumption under uncertainty," Computational Optimization and Applications, Springer, vol. 58(1), pages 31-85, May.
    4. Cuong Le Van & Lisa Morhaim, 2006. "On optimal growth models when the discount factor is near 1 or equal to 1," Post-Print halshs-00096034, HAL.
    5. Chattopadhyay, Subir, 2018. "The unit root property and optimality with a continuum of states—Pure exchange," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 105-118.
    6. Joël Blot & Bertrand Crettez, 2004. "On the smoothness of optimal paths," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 27(1), pages 1-34, August.
    7. Alain Venditti, 2011. "Weak Concavity Properties of Indirect Utility Functions in Multisector Optimal Growth Models," Working Papers halshs-01059589, HAL.
    8. Mitra, Tapan & Nishimura, Kazuo, 2001. "Discounting and Long-Run Behavior: Global Bifurcation Analysis of a Family of Dynamical Systems," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 256-293, January.
    9. G. Gnecco & M. Sanguineti, 2010. "Suboptimal Solutions to Dynamic Optimization Problems via Approximations of the Policy Functions," Journal of Optimization Theory and Applications, Springer, vol. 146(3), pages 764-794, September.
    10. Marinacci, Massimo & Montrucchio, Luigi, 2010. "Unique solutions for stochastic recursive utilities," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1776-1804, September.
    11. Ioana Popescu & Yaozhong Wu, 2007. "Dynamic Pricing Strategies with Reference Effects," Operations Research, INFORMS, vol. 55(3), pages 413-429, June.
    12. Maldonado, Wilfredo L. & Svaiter, B.F., 2007. "Holder continuity of the policy function approximation in the value function approximation," Journal of Mathematical Economics, Elsevier, vol. 43(5), pages 629-639, June.
    13. Cuong Le Van & Lisa Morhaim, 2006. "On optimal growth models when the discount factor is near 1 or equal to 1," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00096034, HAL.

  19. Montrucchio, Luigi & Sorger, Gerhard, 1996. "Topological entropy of policy functions in concave dynamic optimization models," Journal of Mathematical Economics, Elsevier, vol. 25(2), pages 181-194.

    Cited by:

    1. Stefano Bosi & Thai Ha-Hui, 2023. "A multidimensional, nonconvex model of optimal growth," Documents de recherche 23-07, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
    2. Sorger, Gerhard, 2004. "Consistent planning under quasi-geometric discounting," Journal of Economic Theory, Elsevier, vol. 118(1), pages 118-129, September.
    3. Venditti, A., 1996. "Indeterminancy and Endogenous Fluctuations in Two-Sector Growth Models with Externalities," G.R.E.Q.A.M. 96a04, Universite Aix-Marseille III.
    4. Cesar Guerrero-Luchtenberg, 1998. "- A Turnpike Theoreme For A Family Of Functions," Working Papers. Serie AD 1998-07, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    5. Gerhard Sorger, 2008. "some notes on discount factor restrictions for dynamic optimization problems," Vienna Economics Papers vie0805, University of Vienna, Department of Economics.
    6. M. Marena & L. Montrucchio, 1999. "Neighborhood Turnpike Theorem for Continuous-Time Optimization Models," Journal of Optimization Theory and Applications, Springer, vol. 101(3), pages 651-676, June.
    7. Hommes, Cars H. & Rosser,, J. Barkley, 2001. "Consistent Expectations Equilibria And Complex Dynamics In Renewable Resource Markets," Macroeconomic Dynamics, Cambridge University Press, vol. 5(02), pages 180-203, April.
    8. Alexeeva, Tatyana A. & Kuznetsov, Nikolay V. & Mokaev, Timur N., 2021. "Study of irregular dynamics in an economic model: attractor localization and Lyapunov exponents," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    9. Mitra, Tapan, 1998. "On the relationship between discounting and complicated behavior in dynamic optimization models," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 421-434, January.
    10. César L. Guerrero-Luchtenberg, 2004. "Chaos vs. patience in a macroeconomic model of capital accumulation: New applications of a uniform neighborhood turnpike theorem," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 19(1), pages 45-60.
    11. Emmanuelle Augeraud-Véron & Raouf Boucekkine & Fausto Gozzi & Alain Venditti & Benteng Zou, 2024. "Fifty years of mathematical growth theory: Classical topics and new trends," Working Papers hal-04465039, HAL.
    12. Guerrero-Luchtenberg, C.L., 2000. "A uniform neighborhood turnpike theorem and applications," Journal of Mathematical Economics, Elsevier, vol. 34(3), pages 329-357, November.
    13. Bosi, Stefano & Ha-Huy, Thai, 2023. "A multidimensional, nonconvex model of optimal growth," Journal of Mathematical Economics, Elsevier, vol. 109(C).

  20. Boldrin Michele & Montrucchio Luigi, 1995. "Acyclicity and Dynamic Stability: Generalizations and Applications," Journal of Economic Theory, Elsevier, vol. 65(2), pages 303-326, April.
    See citations under working paper version above.
  21. Montrucchio, Luigi, 1995. "A New Turnpike Theorem for Discounted Programs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(3), pages 371-382, May.

    Cited by:

    1. Venditti, Alain, 1997. "Strong Concavity Properties of Indirect Utility Functions in Multisector Optimal Growth Models," Journal of Economic Theory, Elsevier, vol. 74(2), pages 349-367, June.
    2. Cesar Guerrero-Luchtenberg, 1998. "- A Turnpike Theoreme For A Family Of Functions," Working Papers. Serie AD 1998-07, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    3. Kamihigashi, Takashi & Roy, Santanu, 2007. "A nonsmooth, nonconvex model of optimal growth," Journal of Economic Theory, Elsevier, vol. 132(1), pages 435-460, January.
    4. Alain Venditti, 2018. "Competitive Equilibrium Cycles for Small Discounting in Discrete-Time Two-Sector Optimal Growth Models," Working Papers halshs-01934842, HAL.
    5. Santos, Manuel S., 1998. "Accuracy of numerical solutions using the eulers equation residuals," UC3M Working papers. Economics 4157, Universidad Carlos III de Madrid. Departamento de Economía.
    6. Stefano Bosi & Francesco Magris & Alain Venditti, 2003. "Competitive Equilibrium Cycles with Endogenous Labor," Documents de recherche 03-05, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
    7. Alain Venditti, 2011. "Weak Concavity Properties of Indirect Utility Functions in Multisector Optimal Growth Models," Working Papers halshs-01059589, HAL.
    8. Erdlenbruch, Katrin & Jean-Marie, Alain & Moreaux, Michel & Tidball, Mabel, 2010. "Optimality of Impulse Harvesting Policies," IDEI Working Papers 603, Institut d'Économie Industrielle (IDEI), Toulouse.
    9. Joshi, Sumit, 2003. "The stochastic turnpike property without uniformity in convex aggregate growth models," Journal of Economic Dynamics and Control, Elsevier, vol. 27(7), pages 1289-1315, May.
    10. Adriana Piazza, 2009. "The optimal harvesting problem with a land market: a characterization of the asymptotic convergence," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(1), pages 113-138, July.
    11. Vassili Kolokoltsov & Wei Yang, 2012. "Turnpike Theorems for Markov Games," Dynamic Games and Applications, Springer, vol. 2(3), pages 294-312, September.
    12. Guerrero-Luchtenberg, C.L., 2000. "A uniform neighborhood turnpike theorem and applications," Journal of Mathematical Economics, Elsevier, vol. 34(3), pages 329-357, November.
    13. Montrucchio, Luigi, 1995. "A turnpike theorem for continuous-time optimal-control models," Journal of Economic Dynamics and Control, Elsevier, vol. 19(3), pages 599-619, April.
    14. Joël Blot & Bertrand Crettez, 2007. "On the smoothness of optimal paths II: some local turnpike results," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 30(2), pages 137-150, November.

  22. Montrucchio, Luigi, 1995. "A turnpike theorem for continuous-time optimal-control models," Journal of Economic Dynamics and Control, Elsevier, vol. 19(3), pages 599-619, April.

    Cited by:

    1. Venditti, Alain, 1997. "Strong Concavity Properties of Indirect Utility Functions in Multisector Optimal Growth Models," Journal of Economic Theory, Elsevier, vol. 74(2), pages 349-367, June.
    2. M. Marena & L. Montrucchio, 1999. "Neighborhood Turnpike Theorem for Continuous-Time Optimization Models," Journal of Optimization Theory and Applications, Springer, vol. 101(3), pages 651-676, June.
    3. Wolff, Reiner, 1997. "Saddle-point dynamics in non-autonomous models of multisector growth with variable returns to scale," Journal of Mathematical Economics, Elsevier, vol. 27(3), pages 267-282, April.
    4. Alain Venditti, 2018. "Competitive Equilibrium Cycles for Small Discounting in Discrete-Time Two-Sector Optimal Growth Models," Working Papers halshs-01934842, HAL.
    5. Alain Venditti, 2011. "Weak Concavity Properties of Indirect Utility Functions in Multisector Optimal Growth Models," Working Papers halshs-01059589, HAL.
    6. Vassili Kolokoltsov & Wei Yang, 2012. "Turnpike Theorems for Markov Games," Dynamic Games and Applications, Springer, vol. 2(3), pages 294-312, September.

  23. Montrucchio, Luigi, 1994. "The neighbourhood turnpike property for continuous-time optimal growth models," Ricerche Economiche, Elsevier, vol. 48(3), pages 213-224, September.

    Cited by:

    1. Kamihigashi, Takashi & Roy, Santanu, 2007. "A nonsmooth, nonconvex model of optimal growth," Journal of Economic Theory, Elsevier, vol. 132(1), pages 435-460, January.
    2. M. Marena & L. Montrucchio, 1999. "Neighborhood Turnpike Theorem for Continuous-Time Optimization Models," Journal of Optimization Theory and Applications, Springer, vol. 101(3), pages 651-676, June.
    3. Alain Venditti, 2011. "Weak Concavity Properties of Indirect Utility Functions in Multisector Optimal Growth Models," Working Papers halshs-01059589, HAL.
    4. Montrucchio, Luigi, 1995. "A turnpike theorem for continuous-time optimal-control models," Journal of Economic Dynamics and Control, Elsevier, vol. 19(3), pages 599-619, April.

  24. Montrucchio, Luigi & Peccati, Lorenzo, 1991. "A note on Shiu--Fisher--Weil immunization theorem," Insurance: Mathematics and Economics, Elsevier, vol. 10(2), pages 125-131, July.

    Cited by:

    1. Michał Boczek & Marek Kałuszka, 2018. "On the Fong-Vašíček type inequalities for the assets/ liabilities portfolio immunization problem," Collegium of Economic Analysis Annals, Warsaw School of Economics, Collegium of Economic Analysis, issue 51, pages 209-228.
    2. Gajek, Leslaw, 2005. "Axiom of solvency and portfolio immunization under random interest rates," Insurance: Mathematics and Economics, Elsevier, vol. 36(3), pages 317-328, June.
    3. Hurlimann, Werner, 2002. "On immunization, stop-loss order and the maximum Shiu measure," Insurance: Mathematics and Economics, Elsevier, vol. 31(3), pages 315-325, December.
    4. Ghezzi, Luca Luigi, 1999. "A maxmin policy for bond management," European Journal of Operational Research, Elsevier, vol. 114(2), pages 389-394, April.
    5. Joseba Iñaki De La Peña & Iván Iturricastillo & Rafael Moreno & Francisco Román & Eduardo Trigo, 2021. "Towards an immunization perfect model?," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 26(1), pages 1181-1196, January.
    6. Fredrik Armerin & Bjarne Astrup Jensen & Tomas Bjork, 2007. "Term Structure Models with Parallel and Proportional Shifts," Applied Mathematical Finance, Taylor & Francis Journals, vol. 14(3), pages 243-260.
    7. Uberti, M., 1997. "A note on Shiu's immunization results," Insurance: Mathematics and Economics, Elsevier, vol. 21(3), pages 195-200, December.
    8. Ibáñez, Alfredo, 1994. "When can you immunize a bond portfolio?," DEE - Working Papers. Business Economics. WB 7078, Universidad Carlos III de Madrid. Departamento de Economía de la Empresa.
    9. Luigi Montrucchio & Luisa Tibiletti, 1993. "Risk aversion in the small and Jensen inequalities," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 16(2), pages 21-37, September.
    10. Montagut, Esperanza H., 2004. "Hedging bond portfolios versus infinitely many ranked factors of risk," DEE - Working Papers. Business Economics. WB wb043312, Universidad Carlos III de Madrid. Departamento de Economía de la Empresa.
    11. Barber, Joel R. & Copper, Mark L., 1998. "A minimax risk strategy for portfolio immunization," Insurance: Mathematics and Economics, Elsevier, vol. 23(2), pages 173-177, November.
    12. L. L. Ghezzi, 1997. "Immunization and Max–Min Optimal Control," Journal of Optimization Theory and Applications, Springer, vol. 95(3), pages 701-711, December.

  25. Boldrin, Michele & Montrucchio, Luigi, 1988. "Acyclicity and Stability of Intertemporal Optimization Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(1), pages 137-146, February.

    Cited by:

    1. Boldrin Michele & Montrucchio Luigi, 1995. "Acyclicity and Dynamic Stability: Generalizations and Applications," Journal of Economic Theory, Elsevier, vol. 65(2), pages 303-326, April.

  26. Montrucchio, Luigi, 1987. "Lipschitz continuous policy functions for strongly concave optimization problems," Journal of Mathematical Economics, Elsevier, vol. 16(3), pages 259-273, June.

    Cited by:

    1. Venditti, Alain, 1997. "Strong Concavity Properties of Indirect Utility Functions in Multisector Optimal Growth Models," Journal of Economic Theory, Elsevier, vol. 74(2), pages 349-367, June.
    2. Gerhard SORGER, 1992. "On the Sensitivity of Optimal Growth Paths," Vienna Economics Papers vie9202, University of Vienna, Department of Economics.
    3. Roger Lagunoff, 2004. "The Dynamic Reform of Political Institutions," Working Papers gueconwpa~04-04-07, Georgetown University, Department of Economics.
    4. Mauro Gaggero & Giorgio Gnecco & Marcello Sanguineti, 2014. "Approximate dynamic programming for stochastic N-stage optimization with application to optimal consumption under uncertainty," Computational Optimization and Applications, Springer, vol. 58(1), pages 31-85, May.
    5. Cuong Le Van & Lisa Morhaim, 2006. "On optimal growth models when the discount factor is near 1 or equal to 1," Post-Print halshs-00096034, HAL.
    6. Leo Kaas, 2020. "Block-Recursive Equilibria in Heterogenous-Agent Models," CESifo Working Paper Series 8737, CESifo.
    7. Bisin, Alberto & Horst, Ulrich & Ozgur, Onur, 2006. "Rational expectations equilibria of economies with local interactions," Journal of Economic Theory, Elsevier, vol. 127(1), pages 74-116, March.
    8. Roger Lagunoff, 2007. "Markov Equilibrium in Models of Dynamic Endogenous Political Institutions," Levine's Bibliography 122247000000000876, UCLA Department of Economics.
    9. Kehoe, Timothy J. & Levine, David K. & Romer, Paul M., 1990. "Determinacy of equilibria in dynamic models with finitely many consumers," Journal of Economic Theory, Elsevier, vol. 50(1), pages 1-21, February.
    10. Leonard J Mirman & Olivier F. Morand & Kevin L. Reffett, 2004. "A Qualitative Approach to Markovian Equilibrium in Infinite Horizon Economies with Capital," Levine's Bibliography 122247000000000224, UCLA Department of Economics.
    11. Alain Venditti, 2018. "Competitive Equilibrium Cycles for Small Discounting in Discrete-Time Two-Sector Optimal Growth Models," Working Papers halshs-01934842, HAL.
    12. Santos, Manuel S., 1998. "Accuracy of numerical solutions using the eulers equation residuals," UC3M Working papers. Economics 4157, Universidad Carlos III de Madrid. Departamento de Economía.
    13. Roger Lagunoff, 2005. "Dynamic Stability and Reform of Political Institutions," Game Theory and Information 0505006, University Library of Munich, Germany.
    14. Jinhui H. Bai & Roger Lagunoff, 2011. "On the Faustian Dynamics of Policy and Political Power," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(1), pages 17-48.
    15. Datta, Manjira & Mirman, Leonard J. & Morand, Olivier F. & Reffett, Kevin L., 2005. "Markovian equilibrium in infinite horizon economies with incomplete markets and public policy," Journal of Mathematical Economics, Elsevier, vol. 41(4-5), pages 505-544, August.
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    Cited by:

    1. Luciano Fanti, 2015. "Environmental Standards and Cournot Duopoly: A Stability Analysis," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 61(4), pages 577-593, August.
    2. Troy Tassier, 2013. "Handbook of Research on Complexity, by J. Barkley Rosser, Jr. and Edward Elgar," Eastern Economic Journal, Palgrave Macmillan;Eastern Economic Association, vol. 39(1), pages 132-133.
    3. Timothy F. Bresnahan & Manuel Trajtenberg, 1992. "General Purpose Technologies "Engines of Growth?"," NBER Working Papers 4148, National Bureau of Economic Research, Inc.
    4. HUANG Weihong, 2009. "Price-taking Strategy Versus Dynamic Programming in Oligopoly," Economic Growth Centre Working Paper Series 0904, Nanyang Technological University, School of Social Sciences, Economic Growth Centre.
    5. Luis Corchón & Andreu Mas-Colell, 1995. "A Note On Stability Of Best Reply And Gradient Systems With Applications To Imperfectly Competitive Models," Working Papers. Serie AD 1995-18, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    6. Corchon, Luis C. & Mas-Colell, Andreu, 1996. "On the stability of best reply and gradient systems with applications to imperfectly competitive models," Economics Letters, Elsevier, vol. 51(1), pages 59-65, April.
    7. Antonio Doria, Francisco, 2011. "J.B. Rosser Jr. , Handbook of Research on Complexity, Edward Elgar, Cheltenham, UK--Northampton, MA, USA (2009) 436 + viii pp., index, ISBN 978 1 84542 089 5 (cased)," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1-2), pages 196-204, April.

  28. Dana, Rose-Anne & Montrucchio, Luigi, 1986. "Dynamic complexity in duopoly games," Journal of Economic Theory, Elsevier, vol. 40(1), pages 40-56, October.

    Cited by:

    1. Tramontana, Fabio & Gardini, Laura & Puu, Tönu, 2009. "Cournot duopoly when the competitors operate multiple production plants," Journal of Economic Dynamics and Control, Elsevier, vol. 33(1), pages 250-265, January.
    2. Hommes, C.H. & Ochea, M. & Tuinstra, J., 2011. "On the stability of the Cournot equilibrium: An evolutionary approach," CeNDEF Working Papers 11-10, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    3. Luciano Fanti, 2015. "Environmental Standards and Cournot Duopoly: A Stability Analysis," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 61(4), pages 577-593, August.
    4. Donald C. Keenan & Nadeem Naqvi & Gerald Pech, 2011. "A Theory of Dynamic Tariff and Quota Retaliation," MAGKS Papers on Economics 201144, Philipps-Universität Marburg, Faculty of Business Administration and Economics, Department of Economics (Volkswirtschaftliche Abteilung).
    5. Akio Matsumoto & Nobuko Serizawa, 2007. "Strategic trade policy under isoelastic demand and asymmetric production costs," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 41(3), pages 525-543, September.
    6. Li, Wen-na & Elsadany, A.A. & Zhou, Wei & Zhu, Yan-lan, 2021. "Global Analysis, Multi-stability and Synchronization in a Competition Model of Public Enterprises with Consumer Surplus," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    7. M. Papageorgiou, 2003. "Chaos May Be an Optimal Plan," Journal of Optimization Theory and Applications, Springer, vol. 119(2), pages 387-393, November.
    8. Luciano Fanti, 2012. "The dynamics of a banking duopoly with capital regulations," Discussion Papers 2012/151, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
    9. Fabio Lamantia, 2011. "A Nonlinear Duopoly with Efficient Production-Capacity Levels," Computational Economics, Springer;Society for Computational Economics, vol. 38(3), pages 295-309, October.
    10. Li, Risong & Wang, Hongqing & Zhao, Yu, 2016. "Kato’s chaos in duopoly games," Chaos, Solitons & Fractals, Elsevier, vol. 84(C), pages 69-72.
    11. Yu Zhao & Waseem Anwar & Risong Li & Tianxiu Lu & Zhiwen Mo, 2023. "Distributional Chaos and Sensitivity for a Class of Cyclic Permutation Maps," Mathematics, MDPI, vol. 11(15), pages 1-9, July.
    12. Puu, Tonu & Tramontana, Fabio, 2019. "Can Bertrand and Cournot oligopolies be combined?," Chaos, Solitons & Fractals, Elsevier, vol. 125(C), pages 97-107.
    13. Antonio Linero-Bas & María Muñoz-Guillermo, 2021. "A Full Description of ω -Limit Sets of Cournot Maps Having Non-Empty Interior and Some Economic Applications," Mathematics, MDPI, vol. 9(4), pages 1-33, February.
    14. Kong, Mengmeng & Cheng, Wen-Chiao & Li, Bing, 2015. "Topological pressure for nonautonomous systems," Chaos, Solitons & Fractals, Elsevier, vol. 76(C), pages 82-92.
    15. Tomasz Dubiel-Teleszyński, 2010. "Complex Dynamics in a Bertrand Duopoly Game with Heterogeneous Players," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 2(2), pages 95-116, March.
    16. Gangopadhyay, Partha, 2014. "Dynamics of mergers, bifurcation and chaos: A new framework," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 403(C), pages 293-307.
    17. Troy Tassier, 2013. "Handbook of Research on Complexity, by J. Barkley Rosser, Jr. and Edward Elgar," Eastern Economic Journal, Palgrave Macmillan;Eastern Economic Association, vol. 39(1), pages 132-133.
    18. Cars H. Hommes & Marius I. Ochea & Jan Tuinstra, 2018. "Evolutionary Competition Between Adjustment Processes in Cournot Oligopoly: Instability and Complex Dynamics," Dynamic Games and Applications, Springer, vol. 8(4), pages 822-843, December.
    19. Timothy F. Bresnahan & Manuel Trajtenberg, 1992. "General Purpose Technologies "Engines of Growth?"," NBER Working Papers 4148, National Bureau of Economic Research, Inc.
    20. HUANG Weihong, 2009. "Price-taking Strategy Versus Dynamic Programming in Oligopoly," Economic Growth Centre Working Paper Series 0904, Nanyang Technological University, School of Social Sciences, Economic Growth Centre.
    21. Whitby, Simon & Parker, David & Tobias, Andrew, 2001. "Non-linear dynamics and duopolistic competition: a R&D model and simulation," Journal of Business Research, Elsevier, vol. 51(3), pages 179-191, March.
    22. Bacchiocchi, Andrea & Bischi, Gian Italo & Giombini, Germana, 2022. "Non-performing loans, expectations and banking stability: A dynamic model," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    23. Yu Zhao & Risong Li, 2019. "Chaos in Duopoly Games via Furstenberg Family Couple," Complexity, Hindawi, vol. 2019, pages 1-8, November.
    24. Elsadany, A.A., 2017. "Dynamics of a Cournot duopoly game with bounded rationality based on relative profit maximization," Applied Mathematics and Computation, Elsevier, vol. 294(C), pages 253-263.
    25. A. Matsumoto, 2006. "Controlling the Cournot-Nash Chaos," Journal of Optimization Theory and Applications, Springer, vol. 128(2), pages 379-392, February.
    26. Fanti, Luciano & Gori, Luca & Mammana, Cristiana & Michetti, Elisabetta, 2013. "The dynamics of a Bertrand duopoly with differentiated products: Synchronization, intermittency and global dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 52(C), pages 73-86.
    27. Luís A. Aguirre & Antônio Aguirre, 1995. "A tutorial introduction to nonlinear dynamics in economics," Textos para Discussão Cedeplar-UFMG 088, Cedeplar, Universidade Federal de Minas Gerais.
    28. Nijkamp, P. & Poot, J., 1991. "Lessons from non-linear dynamic economics," Serie Research Memoranda 0105, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    29. Nijkamp, P. & Reggiani, A., 1990. "Spatio-temporal processes in dynamic logit models," Serie Research Memoranda 0063, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    30. Luis Corchón & Andreu Mas-Colell, 1995. "A Note On Stability Of Best Reply And Gradient Systems With Applications To Imperfectly Competitive Models," Working Papers. Serie AD 1995-18, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    31. Mikhail Anufriev & Davide Radi & Fabio Tramontana, 2018. "Some reflections on past and future of nonlinear dynamics in economics and finance," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 41(2), pages 91-118, November.
    32. Jose S. Cánovas & Anastasiia Panchuk & Tonu Puu, 2015. "Role of reinvestment in a competitive market," Gecomplexity Discussion Paper Series 12, Action IS1104 "The EU in the new complex geography of economic systems: models, tools and policy evaluation", revised Apr 2015.
    33. Corchon, Luis C. & Mas-Colell, Andreu, 1996. "On the stability of best reply and gradient systems with applications to imperfectly competitive models," Economics Letters, Elsevier, vol. 51(1), pages 59-65, April.
    34. Hongqing Wang & Tianxiu Lu & Risong Li & Yuanlin Chen & Yongjiang Li & Weizhen Quan, 2022. "Collective Sensitivity, Collective Accessibility, and Collective Kato’s Chaos in Duopoly Games," Mathematics, MDPI, vol. 10(22), pages 1-15, November.
    35. Roberto Cellini & Fabio Lamantia, 2015. "Quality competition in markets with regulated prices and minimum quality standards," Journal of Evolutionary Economics, Springer, vol. 25(2), pages 345-370, April.
    36. Gian-Italo Bischi & Ahmad K. Naimzada & Lucia Sbragia, 2004. "Oligopoly Games with Local Monopolistic Approximation," Working Papers 81, University of Milano-Bicocca, Department of Economics, revised Nov 2004.
    37. Lamantia, Fabio & Pezzino, Mario & Scardamaglia, Bruno & Tramontana, Fabio, 2022. "A discontinuous model of duopoly with isoelastic demand and innovation costs," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    38. Matsumoto, Akio & Nonaka, Yasuo, 2006. "Statistical dynamics in a chaotic Cournot model with complementary goods," Journal of Economic Behavior & Organization, Elsevier, vol. 61(4), pages 769-783, December.
    39. Bischi, Gian Italo & Kopel, Michael, 2001. "Equilibrium selection in a nonlinear duopoly game with adaptive expectations," Journal of Economic Behavior & Organization, Elsevier, vol. 46(1), pages 73-100, September.
    40. Bischi Gian Italo & Lamantia Fabio, 2012. "Routes to Complexity Induced by Constraints in Cournot Oligopoly Games with Linear Reaction Functions," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 16(2), pages 1-30, April.
    41. Cánovas, J.S. & Muñoz-Guillermo, M., 2018. "On the dynamics of Kopel’s Cournot duopoly model," Applied Mathematics and Computation, Elsevier, vol. 330(C), pages 292-306.
    42. Nijkamp, Peter & Reggiani, Aura, 1995. "Non-linear evolution of dynamic spatial systems. The relevance of chaos and ecologically-based models," Regional Science and Urban Economics, Elsevier, vol. 25(2), pages 183-210, April.
    43. Antonio Doria, Francisco, 2011. "J.B. Rosser Jr. , Handbook of Research on Complexity, Edward Elgar, Cheltenham, UK--Northampton, MA, USA (2009) 436 + viii pp., index, ISBN 978 1 84542 089 5 (cased)," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1-2), pages 196-204, April.
    44. Xiuqin Yang & Feng Liu & Hua Wang, 2023. "Complex Dynamic Analysis for a Rent-Seeking Game with Political Competition and Policymaker Costs," Mathematics, MDPI, vol. 11(21), pages 1-18, November.

  29. Boldrin, Michele & Montrucchio, Luigi, 1986. "On the indeterminacy of capital accumulation paths," Journal of Economic Theory, Elsevier, vol. 40(1), pages 26-39, October.

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    1. Venditti, Alain, 1997. "Strong Concavity Properties of Indirect Utility Functions in Multisector Optimal Growth Models," Journal of Economic Theory, Elsevier, vol. 74(2), pages 349-367, June.
    2. Jensen, Martin Kaae, 2012. "Global stability and the “turnpike” in optimal unbounded growth models," Journal of Economic Theory, Elsevier, vol. 147(2), pages 802-832.
    3. Sorger, Gerhard, 2004. "Consistent planning under quasi-geometric discounting," Journal of Economic Theory, Elsevier, vol. 118(1), pages 118-129, September.
    4. Kazuo Nishimura & Florian Pelgrin & Alain Venditti, 2023. "Medium term endogenous fluctuations in three-sector optimal growth models," AMSE Working Papers 2235, Aix-Marseille School of Economics, France.
    5. Dohtani, Akitaka, 2010. "A growth-cycle model of Solow-Swan type, I," Journal of Economic Behavior & Organization, Elsevier, vol. 76(2), pages 428-444, November.
    6. Frédéric Lordon, 1991. "Théorie de la croissance : quelques développements récents [Première partie : la croissance récente]," Revue de l'OFCE, Programme National Persée, vol. 36(1), pages 157-211.
    7. Dominique, C-Rene, 2014. "On Market Economies: How Controllable Constructs Become Complex," MPRA Paper 56579, University Library of Munich, Germany, revised 10 Jun 2014.
    8. Rabah Amir & Natalia Lazzati, 2009. "Network Effects, Market Structure and Industry Performance," Working Papers 09-27, NET Institute.
    9. Venditti, A., 1996. "Indeterminancy and Endogenous Fluctuations in Two-Sector Growth Models with Externalities," G.R.E.Q.A.M. 96a04, Universite Aix-Marseille III.
    10. Montrucchio, Luigi & Sorger, Gerhard, 1996. "Topological entropy of policy functions in concave dynamic optimization models," Journal of Mathematical Economics, Elsevier, vol. 25(2), pages 181-194.
    11. Jinhui H. Bai & Roger Laguno ff, 2010. "Revealed Political Power," Levine's Working Paper Archive 661465000000000106, David K. Levine.
    12. Chavas, Jean-Paul & Holt, Matthew T., 1995. "Nonlinear Dynamics And Economic Instability: The Optimal Management Of A Biological Population," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 20(2), pages 1-16, December.
    13. Cesar Guerrero-Luchtenberg, 1998. "- A Turnpike Theoreme For A Family Of Functions," Working Papers. Serie AD 1998-07, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    14. Nishimura, Kazuo & Yano, Makoto, 1995. "Durable capital and chaos in competitive business cycles," Journal of Economic Behavior & Organization, Elsevier, vol. 27(2), pages 165-181, July.
    15. Orlando Gomes, 2008. "Decentralized Allocation of Human Capital and Nonlinear Growth," Computational Economics, Springer;Society for Computational Economics, vol. 31(1), pages 45-75, February.
    16. Atsuo Utaka, 2003. "Income Tax and Endogenous Business Cycles," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 5(1), pages 135-145, January.
    17. Chin-Chang Lai, 1997. "The Complex Dynamics of Real Exchange Rates with Countercyclical Balance of Trade," Open Economies Review, Springer, vol. 8(4), pages 393-401, October.
    18. Kazuo Nishimura & Alain Venditti & Makoto Yano, 2013. "Destabilization Effect of International Trade in a Perfect Foresight Dynamic General Equilibrium Model," AMSE Working Papers 1313, Aix-Marseille School of Economics, France, revised Feb 2013.
    19. Orlando Gomes, 2010. "Consumer confidence, endogenous growth and endogenous cycles," Journal of Economic Studies, Emerald Group Publishing Limited, vol. 37(4), pages 377-404, September.
    20. Mauro Gaggero & Giorgio Gnecco & Marcello Sanguineti, 2013. "Dynamic Programming and Value-Function Approximation in Sequential Decision Problems: Error Analysis and Numerical Results," Journal of Optimization Theory and Applications, Springer, vol. 156(2), pages 380-416, February.
    21. Angeletos, George-Marios & Calvet, Laurent-Emmanuel, 2005. "Incomplete-market dynamics in a neoclassical production economy," Journal of Mathematical Economics, Elsevier, vol. 41(4-5), pages 407-438, August.
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    23. Maldonado, Wilfredo L. & Moreira, Humberto Luiz Ataíde, 2006. "Solving Euler Equations: Classical Methods and the C¹ Contraction Mapping Method Revisited," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 60(2), November.
    24. Claustre Bajona, 2010. "Demographics in Dynamic Heckscher-Ohlin Models: Overlapping Generations versus Infinitely Lived Consumers," 2010 Meeting Papers 1172, Society for Economic Dynamics.
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    33. Makoto Yano & Yuichi Furukawa, 2021. "Two-Dimensional Constrained Chaos and Industrial Revolution Cycles with Mathemetical Appendices," KIER Working Papers 1057, Kyoto University, Institute of Economic Research.
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    37. Kamihigashi, Takashi, 1999. "Chaotic dynamics in quasi-static systems: theory and applications1," Journal of Mathematical Economics, Elsevier, vol. 31(2), pages 183-214, March.
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    39. Wolff, Reiner, 1997. "Saddle-point dynamics in non-autonomous models of multisector growth with variable returns to scale," Journal of Mathematical Economics, Elsevier, vol. 27(3), pages 267-282, April.
    40. Hommes, Cars H., 1995. "A reconsideration of Hicks' non-linear trade cycle model," Structural Change and Economic Dynamics, Elsevier, vol. 6(4), pages 435-459, December.
    41. Ghiglino, Christian & Venditti, Alain, 2007. "Wealth inequality, preference heterogeneity and macroeconomic volatility in two-sector economies," Journal of Economic Theory, Elsevier, vol. 135(1), pages 414-441, July.
    42. Deissenberg, C & Nyssen, J., 1997. "A Simple Model of Schumpeterian Growth with Complex Dynamics," G.R.E.Q.A.M. 97a01, Universite Aix-Marseille III.
    43. John Stachurski, 2009. "Economic Dynamics: Theory and Computation," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262012774, December.
    44. Akhmet, Marat & Akhmetova, Zhanar & Fen, Mehmet Onur, 2014. "Chaos in economic models with exogenous shocks," Journal of Economic Behavior & Organization, Elsevier, vol. 106(C), pages 95-108.
    45. Tapan Mitra, 2005. "Characterization of the turnpike property of optimal paths in the aggregative model of intertemporal allocation," International Journal of Economic Theory, The International Society for Economic Theory, vol. 1(4), pages 247-275, December.
    46. Tamotsu Onozaki, 2018. "Nonlinearity, Bounded Rationality, and Heterogeneity," Springer Books, Springer, number 978-4-431-54971-0, March.
    47. Brock, W.A. & Hommes, C.H., 1997. "Models of Compelxity in Economics and Finance," Working papers 9706, Wisconsin Madison - Social Systems.
    48. Philippe Michel & Alain Venditti & Claude Jessua, 1996. "Croissance optimale et cycles dans le modèle à générations imbriquées : un exemple," Revue Économique, Programme National Persée, vol. 47(3), pages 487-497.
    49. Bhattacharya, Joydeep & Bunzel, Helle, 2003. "Dynamics of the Planning Solution in the Discrete-Time Textbook Model of Labor Market Search and Matching," Staff General Research Papers Archive 10253, Iowa State University, Department of Economics.
    50. Mich Tvede, 2009. "Fluctuations in Overlapping Generations Economies," Discussion Papers 09-05, University of Copenhagen. Department of Economics.
    51. Joël Blot & Bertrand Crettez, 2004. "On the smoothness of optimal paths," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 27(1), pages 1-34, August.
    52. Alain Venditti, 2011. "Weak Concavity Properties of Indirect Utility Functions in Multisector Optimal Growth Models," Working Papers halshs-01059589, HAL.
    53. Anjan Mukherji, 2003. "Competitive Equilibria: Convergence, Cycles or Chaos," ISER Discussion Paper 0591, Institute of Social and Economic Research, Osaka University.
    54. Orlando Gomes, 2006. "Local Bifurcations and Global Dynamics in a Solow-type Endogenous Business Cycles Model," Annals of Economics and Finance, Society for AEF, vol. 7(1), pages 91-127, May.
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