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Josef Hofbauer

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.

Blog mentions

As found by EconAcademics.org, the blog aggregator for Economics research:
  1. , & , H., 2011. "Survival of dominated strategies under evolutionary dynamics," Theoretical Economics, Econometric Society, vol. 6(3), September.

    Mentioned in:

    1. “Survival of Dominated Strategies Under Evolutionary Dynamics,” J. Hofbauer & W. Sandholm (2011)
      by afinetheorem in A Fine Theorem on 2012-09-06 11:00:48
    2. “Survival of Dominated Strategies Under Evolutionary Dynamics,” J. Hofbauer & W. Sandholm (2011)
      by afinetheorem in A Fine Theorem on 2012-09-06 11:00:48

Working papers

  1. Balkenborg, Dieter & Hofbauer, Josef & Kuzmics, Christoph, 2016. "Refined best reply correspondence and dynamics," Center for Mathematical Economics Working Papers 451, Center for Mathematical Economics, Bielefeld University.

    Cited by:

    1. Nobuyuki Hanaki & Emily Tanimura & Nicolaas J. Vriend, 2016. "The Principle of Minimum Differentiation Revisited: Return of the Median Voter ," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01312466, HAL.
    2. Yannick Viossat, 2015. "Evolutionary dynamics and dominated strategies," Post-Print hal-01253535, HAL.
    3. Herings, Jean-Jacques & Meshalkin, Andrey & Predtetchinski, Arkadi, 2016. "Optimality, Equilibrium, and Curb Sets in Decision Problems without Commitment," Research Memorandum 021, Maastricht University, Graduate School of Business and Economics (GSBE).
    4. Christoph Kuzmics & Daniel Rodenburger, 2018. "A case of evolutionary stable attainable equilibrium in the lab," Graz Economics Papers 2018-05, University of Graz, Department of Economics.
    5. Christoph Kuzmics & Daniel Rodenburger, 2020. "A case of evolutionarily stable attainable equilibrium in the laboratory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 685-721, October.
    6. Herold, Florian & Kuzmics, Christoph, 2020. "The evolution of taking roles," Journal of Economic Behavior & Organization, Elsevier, vol. 174(C), pages 38-63.
    7. Francesco Caruso & Maria Carmela Ceparano & Jacqueline Morgan, 2020. "Best response algorithms in ratio-bounded games: convergence of affine relaxations to Nash equilibria," CSEF Working Papers 593, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    8. Laraki, Rida & Mertikopoulos, Panayotis, 2013. "Higher order game dynamics," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2666-2695.
    9. Hans Carlsson & Philipp Christoph Wichardt, 2019. "Strict Incentives and Strategic Uncertainty," CESifo Working Paper Series 7715, CESifo.
    10. Jonathan Newton, 2018. "Evolutionary Game Theory: A Renaissance," Games, MDPI, vol. 9(2), pages 1-67, May.
    11. Christopher Kah & Markus Walzl, 2015. "Stochastic Stability in a Learning Dynamic with Best Response to Noisy Play," Working Papers 2015-15, Faculty of Economics and Statistics, Universität Innsbruck.

  2. Balkenborg, Dieter & Hofbauer, Josef & Kuzmics, Christoph, 2014. "The refined best-response correspondence in normal form games," Center for Mathematical Economics Working Papers 466, Center for Mathematical Economics, Bielefeld University.

    Cited by:

    1. Dieter Balkenborg & Josef Hofbauer & Christoph Kuzmics, 2019. "The Refined Best Reply Correspondence and Backward Induction," German Economic Review, Verein für Socialpolitik, vol. 20(1), pages 52-66, February.
    2. Balkenborg, Dieter & Hofbauer, Josef & Kuzmics, Christoph, 2016. "Refined best reply correspondence and dynamics," Center for Mathematical Economics Working Papers 451, Center for Mathematical Economics, Bielefeld University.
    3. Dieter Balkenborg & Josef Hofbauer & Christoph Kuzmics, 2008. "Refined best-response correspondence and dynamics," Discussion Papers 0806, University of Exeter, Department of Economics.
    4. Balkenborg, Dieter, 2018. "Rationalizability and logical inference," Games and Economic Behavior, Elsevier, vol. 110(C), pages 248-257.
    5. Hans Carlsson & Philipp Christoph Wichardt, 2019. "Strict Incentives and Strategic Uncertainty," CESifo Working Paper Series 7715, CESifo.
    6. Peter Wikman, 2022. "Nash blocks," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(1), pages 29-51, March.

  3. A. Gaunersdorfer & J. Hofbauer, 2010. "Fictitious Play, Shapley Polygons and the Replicator Equation," Levine's Working Paper Archive 438, David K. Levine.

    Cited by:

    1. Viossat, Yannick, 2007. "The replicator dynamics does not lead to correlated equilibria," Games and Economic Behavior, Elsevier, vol. 59(2), pages 397-407, May.
    2. Andriy Zapechelnyuk, 2009. "Limit Behavior of No-regret Dynamics," Discussion Papers 21, Kyiv School of Economics.
    3. Timothy N. Cason & Daniel Friedman & Ed Hopkins, 2010. "Testing the TASP: An Experimental Investigation of Learning in Games with Unstable Equilibria," Purdue University Economics Working Papers 1233, Purdue University, Department of Economics.
    4. Michel Benaim & Josef Hofbauer & Ed Hopkins, 2006. "Learning in Games with Unstable Equilibria," Levine's Bibliography 321307000000000547, UCLA Department of Economics.
    5. Bill Sandholm, 2003. "Excess Payoff Dynamics, Potential Dynamics, and Stable Games," Theory workshop papers 505798000000000042, UCLA Department of Economics.
    6. Viossat, Yannick, 2008. "Evolutionary dynamics may eliminate all strategies used in correlated equilibrium," Mathematical Social Sciences, Elsevier, vol. 56(1), pages 27-43, July.
    7. Elliott O. Wagner, 2013. "The Dynamics of Costly Signaling," Games, MDPI, vol. 4(2), pages 1-19, April.
    8. Yannick Viossat, 2015. "Evolutionary dynamics and dominated strategies," Post-Print hal-01253535, HAL.
    9. José Pedro Gaivão & Telmo Peixe, 2019. "Periodic attractor in the discrete time best-response dynamics of the rock-paper-scissors game," Working Papers REM 2019/0108, ISEG - Lisbon School of Economics and Management, REM, Universidade de Lisboa.
    10. Sandholm, William H., 2007. "Evolution in Bayesian games II: Stability of purified equilibria," Journal of Economic Theory, Elsevier, vol. 136(1), pages 641-667, September.
    11. Sandholm,W.H., 2002. "Potential dynamics and stable games," Working papers 21, Wisconsin Madison - Social Systems.
    12. Viossat, Yannick & Zapechelnyuk, Andriy, 2013. "No-regret dynamics and fictitious play," Journal of Economic Theory, Elsevier, vol. 148(2), pages 825-842.
    13. Telmo Peixe & Alexandre A. Rodrigues, 2022. "Stability of heteroclinic cycles: a new approach," Papers 2204.00848, arXiv.org.
    14. Ed Hopkins, 2000. "Two Competing Models of How People Learn in Games," Edinburgh School of Economics Discussion Paper Series 51, Edinburgh School of Economics, University of Edinburgh.
    15. van Strien, Sebastian & Sparrow, Colin, 2011. "Fictitious play in 3x3 games: Chaos and dithering behaviour," Games and Economic Behavior, Elsevier, vol. 73(1), pages 262-286, September.
    16. Sandholm, William H., 2001. "Potential Games with Continuous Player Sets," Journal of Economic Theory, Elsevier, vol. 97(1), pages 81-108, March.
    17. Vasin, A., 2010. "Evolutionary Game Theory and Economics. Part 2. Stability of Equilibria. Special Features of Human Behavior Evolution," Journal of the New Economic Association, New Economic Association, issue 5, pages 10-27.
    18. Karl H. Schlag & Gregory B. Pollock, 1999. "Social Roles As An Effective Learning Mechanism," Rationality and Society, , vol. 11(4), pages 371-397, November.
    19. Drew Fudenberg & David K. Levine, 1996. "Consistency and Cautious Fictitious Play," Levine's Working Paper Archive 470, David K. Levine.
    20. Jos'e Pedro Gaiv~ao & Telmo Peixe, 2019. "Periodic attractor in the discrete time best-response dynamics of the Rock-Paper-Scissors game," Papers 1912.06831, arXiv.org.
    21. Berger, Ulrich, 2007. "Two more classes of games with the continuous-time fictitious play property," Games and Economic Behavior, Elsevier, vol. 60(2), pages 247-261, August.
    22. Timothy N. Cason & Daniel Friedman & Ed Hopkins, 2020. "An Experimental Investigation of Price Dispersion and Cycles," Purdue University Economics Working Papers 1324, Purdue University, Department of Economics.
    23. Christian Hilbe & Maria Kleshnina & Kateřina Staňková, 2023. "Evolutionary Games and Applications: Fifty Years of ‘The Logic of Animal Conflict’," Dynamic Games and Applications, Springer, vol. 13(4), pages 1035-1048, December.
    24. Marta C. Couto & Saptarshi Pal, 2023. "Introspection Dynamics in Asymmetric Multiplayer Games," Dynamic Games and Applications, Springer, vol. 13(4), pages 1256-1285, December.
    25. Sparrow, Colin & van Strien, Sebastian & Harris, Christopher, 2008. "Fictitious play in 3x3 games: The transition between periodic and chaotic behaviour," Games and Economic Behavior, Elsevier, vol. 63(1), pages 259-291, May.
    26. Hofbauer, Josef & Sandholm, William H., 2009. "Stable games and their dynamics," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1665-1693.4, July.
    27. A.F. Kleimenov & A.V. Kryazhimskii, 1998. "Normal Behavior, Altruism and Aggression in Cooperative Game Dynamics," Working Papers ir98076, International Institute for Applied Systems Analysis.
    28. Josef Hofbauer & Sylvain Sorin & Yannick Viossat, 2009. "Time Average Replicator and Best Reply Dynamics," Post-Print hal-00360767, HAL.
    29. Hopkins, Ed, 1999. "A Note on Best Response Dynamics," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 138-150, October.
    30. Ulrich Berger, 2012. "Non-algebraic Convergence Proofs for Continuous-Time Fictitious Play," Dynamic Games and Applications, Springer, vol. 2(1), pages 4-17, March.
    31. Berger, Ulrich, 2007. "Brown's original fictitious play," Journal of Economic Theory, Elsevier, vol. 135(1), pages 572-578, July.
    32. Sergiu Hart & Andreu Mas-Colell, 2003. "Uncoupled Dynamics Do Not Lead to Nash Equilibrium," American Economic Review, American Economic Association, vol. 93(5), pages 1830-1836, December.
    33. Timothy N. Cason & Daniel Friedman & ED Hopkins, 2014. "Cycles and Instability in a Rock--Paper--Scissors Population Game: A Continuous Time Experiment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(1), pages 112-136.
    34. Dai, Darong, 2012. "Learning Nash Equilibria," MPRA Paper 40040, University Library of Munich, Germany.
    35. William H. Sandholm, 1997. "An Evolutionary Approach to Congestion," Discussion Papers 1198, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    36. Ratul, Lahkar, 2011. "The dynamic instability of dispersed price equilibria," Journal of Economic Theory, Elsevier, vol. 146(5), pages 1796-1827, September.
    37. Ewerhart, Christian & Valkanova, Kremena, 2020. "Fictitious play in networks," Games and Economic Behavior, Elsevier, vol. 123(C), pages 182-206.
    38. Berger, Ulrich & Hofbauer, Josef, 2006. "Irrational behavior in the Brown-von Neumann-Nash dynamics," Games and Economic Behavior, Elsevier, vol. 56(1), pages 1-6, July.
    39. Ziv Gorodeisky, 2008. "Stochastic Approximation of Discontinuous Dynamics," Discussion Paper Series dp496, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    40. Michel Benaïm & Josef Hofbauer & Sylvain Sorin, 2012. "Perturbations of Set-Valued Dynamical Systems, with Applications to Game Theory," Dynamic Games and Applications, Springer, vol. 2(2), pages 195-205, June.
    41. Platkowski, Tadeusz & Zakrzewski, Jan, 2011. "Asymptotically stable equilibrium and limit cycles in the Rock–Paper–Scissors game in a population of players with complex personalities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4219-4226.
    42. Ulrich Berger, 2004. "Two More Classes of Games with the Fictitious Play Property," Game Theory and Information 0408003, University Library of Munich, Germany.
    43. Izquierdo, Luis R. & Izquierdo, Segismundo S. & Sandholm, William H., 2019. "An introduction to ABED: Agent-based simulation of evolutionary game dynamics," Games and Economic Behavior, Elsevier, vol. 118(C), pages 434-462.
    44. Hofbauer, Josef & Weibull, Jîrgen W., 1995. "Evolutionary selection against dominated strategies," CEPREMAP Working Papers (Couverture Orange) 9506, CEPREMAP.
    45. Liliana Garrido-da-Silva & Sofia B. S. D. Castro, 2020. "Cyclic dominance in a two-person rock–scissors–paper game," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(3), pages 885-912, September.
    46. 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).
    47. Reinoud Joosten, 2006. "Walras and Darwin: an odd couple?," Journal of Evolutionary Economics, Springer, vol. 16(5), pages 561-573, December.
    48. Lahkar, Ratul & Seymour, Robert M., 2014. "The dynamics of generalized reinforcement learning," Journal of Economic Theory, Elsevier, vol. 151(C), pages 584-595.
    49. Yi Tao & Jing-Jing Xu & Cong Li & Ross Cressman, 2014. "Dominance Hierarchies Induce a Population’s Full Cooperation," Dynamic Games and Applications, Springer, vol. 4(4), pages 432-447, December.
    50. Hommes, Cars H. & Ochea, Marius I., 2012. "Multiple equilibria and limit cycles in evolutionary games with Logit Dynamics," Games and Economic Behavior, Elsevier, vol. 74(1), pages 434-441.
    51. Berger, Ulrich, 2005. "Fictitious play in 2 x n games," Journal of Economic Theory, Elsevier, vol. 120(2), pages 139-154, February.
    52. Yannick Viossat, 2005. "Replicator Dynamics and Correlated Equilibrium: Elimination of All Strategies in the Support of Correlated Equilibria," Working Papers hal-00242977, HAL.
    53. Ulrich Berger, 2003. "Fictitious play in 2xn games," Game Theory and Information 0303009, University Library of Munich, Germany.
    54. Sandholm, William H., 2015. "Population Games and Deterministic Evolutionary Dynamics," Handbook of Game Theory with Economic Applications,, Elsevier.
    55. José Pedro Gaivão & Telmo Peixe, 2021. "Periodic Attractor in the Discrete Time Best-Response Dynamics of the Rock-Paper-Scissors Game," Dynamic Games and Applications, Springer, vol. 11(3), pages 491-511, September.
    56. Jean Paul Rabanal & Daniel Friedman, 2015. "How Moral Codes Evolve in a Trust Game," Games, MDPI, vol. 6(2), pages 1-11, June.
    57. Telmo Peixe & Alexandre A. Rodrigues, 2021. "Persistent Strange attractors in 3D Polymatrix Replicators," Papers 2103.11242, arXiv.org, revised Jan 2022.

  4. J. Hofbauer & J. Weibull, 2010. "Evolutionary Selection against dominated strategies," Levine's Working Paper Archive 444, David K. Levine.

    Cited by:

    1. Giovanni Ponti, 1996. "Cycles of Learning in the Centipede Game," Discussion Papers 96-22 ISSN 1350-6722, University College London, Department of Economics.
    2. Viossat, Yannick, 2007. "The replicator dynamics does not lead to correlated equilibria," Games and Economic Behavior, Elsevier, vol. 59(2), pages 397-407, May.
    3. Cavalli, Fausto & Naimzada, Ahmad & Pireddu, Marina, 2016. "A family of models for Schelling binary choices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 276-296.
    4. Noemi Schmitt & Jan Tuinstra & Frank Westerhoff, 2018. "Stability and welfare effects of profit taxes within an evolutionary market interaction model," Review of International Economics, Wiley Blackwell, vol. 26(3), pages 691-708, August.
    5. Waters, George A., 2009. "Chaos in the cobweb model with a new learning dynamic," Journal of Economic Dynamics and Control, Elsevier, vol. 33(6), pages 1201-1216, June.
    6. Bill Sandholm, 2003. "Excess Payoff Dynamics, Potential Dynamics, and Stable Games," Theory workshop papers 505798000000000042, UCLA Department of Economics.
    7. Viossat, Yannick, 2008. "Evolutionary dynamics may eliminate all strategies used in correlated equilibrium," Mathematical Social Sciences, Elsevier, vol. 56(1), pages 27-43, July.
    8. Ponti, Giovanni, 2000. "Continuous-time evolutionary dynamics: theory and practice," Research in Economics, Elsevier, vol. 54(2), pages 187-214, June.
    9. Davide Radi, 2017. "Walrasian versus Cournot behavior in an oligopoly of boundedly rational firms," Journal of Evolutionary Economics, Springer, vol. 27(5), pages 933-961, November.
    10. Yannick Viossat, 2015. "Evolutionary dynamics and dominated strategies," Post-Print hal-01253535, HAL.
    11. Gilles GRANDJEAN & Ana MAULEON & Vincent VANNETELBOSCH, 2017. "Strongly rational sets for normal-form games," LIDAM Reprints CORE 2840, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    12. Yannick Viossat, 2010. "Properties and applications of dual reduction," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(1), pages 53-68, July.
    13. Weibull, Jörgen & Salomonsson, Marcus, 2005. "Natural selection and social preferences," SSE/EFI Working Paper Series in Economics and Finance 588, Stockholm School of Economics, revised 27 Sep 2005.
    14. Antonio Cabrales & Giovanni Ponti, "undated". "Implementation, Elimination of Weakly Dominated Strategies and Evolotionary Dynamics," ELSE working papers 057, ESRC Centre on Economics Learning and Social Evolution.
    15. Dieci, Roberto & Schmitt, Noemi & Westerhoff, Frank H., 2022. "Boom-bust cycles and asset market participation waves: Momentum, value, risk and herding," BERG Working Paper Series 177, Bamberg University, Bamberg Economic Research Group.
    16. Noemi Schmitt & Frank Westerhoff, 2022. "Speculative housing markets and rent control: insights from nonlinear economic dynamics," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 17(1), pages 141-163, January.
    17. Viossat, Yannick & Zapechelnyuk, Andriy, 2013. "No-regret dynamics and fictitious play," Journal of Economic Theory, Elsevier, vol. 148(2), pages 825-842.
    18. Tuinstra, Jan & Wegener, Michael & Westerhoff, Frank, 2014. "Positive welfare effects of trade barriers in a dynamic partial equilibrium model," Journal of Economic Dynamics and Control, Elsevier, vol. 48(C), pages 246-264.
    19. Weibull, Jörgen W., 1997. "What have we learned from Evolutionary Game Theory so far?," Working Paper Series 487, Research Institute of Industrial Economics, revised 26 Oct 1998.
    20. Kristian Lindgren, 1996. "Evolutionary Dynamics in Game-Theoretic Models," Working Papers 96-06-043, Santa Fe Institute.
    21. Sandholm, William H., 2001. "Potential Games with Continuous Player Sets," Journal of Economic Theory, Elsevier, vol. 97(1), pages 81-108, March.
    22. Domenico De Giovanni & Fabio Lamantia, 2017. "Evolutionary dynamics of a duopoly game with strategic delegation and isoelastic demand," Journal of Evolutionary Economics, Springer, vol. 27(5), pages 877-903, November.
    23. Parke, William R. & Waters, George A., 2014. "On The Evolutionary Stability Of Rational Expectations," Macroeconomic Dynamics, Cambridge University Press, vol. 18(7), pages 1581-1606, October.
    24. Schmitt, Noemi & Tuinstra, Jan & Westerhoff, Frank, 2015. "Side effects of nonlinear profit taxes in an evolutionary market entry model: abrupt changes, coexisting attractors and hysteresis problems," BERG Working Paper Series 103, Bamberg University, Bamberg Economic Research Group.
    25. David K. Levine, 1997. "Learning in the Stock Flow Model," Levine's Working Paper Archive 629, David K. Levine.
    26. Yannick Viossat, 2011. "Deterministic monotone dynamics and dominated strategies," Working Papers hal-00636620, HAL.
    27. Quinteros, María José & Villena, Marcelo J. & Villena, Mauricio G., 2019. "Whistleblowing Behavior in Organizations," MPRA Paper 99215, University Library of Munich, Germany, revised 24 Nov 2019.
    28. Kopel, Michael & Lamantia, Fabio, 2018. "The persistence of social strategies under increasing competitive pressure," Journal of Economic Dynamics and Control, Elsevier, vol. 91(C), pages 71-83.
    29. Segismundo S. Izquierdo & Luis R. Izquierdo, 2011. "Strictly Dominated Strategies in the Replicator-Mutator Dynamics," Games, MDPI, vol. 2(3), pages 1-10, September.
    30. Blaurock, Ivonne & Schmitt, Noemi & Westerhoff, Frank, 2018. "Market entry waves and volatility outbursts in stock markets," Journal of Economic Behavior & Organization, Elsevier, vol. 153(C), pages 19-37.
    31. Jean Paul Rabanal, 2017. "On the Evolution of Continuous Types Under Replicator and Gradient Dynamics: Two Examples," Dynamic Games and Applications, Springer, vol. 7(1), pages 76-92, March.
    32. Chongyi Zhong & Hui Yang & Zixin Liu & Juanyong Wu, 2020. "Stability of Replicator Dynamics with Bounded Continuously Distributed Time Delay," Mathematics, MDPI, vol. 8(3), pages 1-12, March.
    33. Weibull, Jorgen W., 1998. "Evolution, rationality and equilibrium in games," European Economic Review, Elsevier, vol. 42(3-5), pages 641-649, May.
    34. George A. Waters, 2011. "Endogenous Rational Bubbles," Working Paper Series 20111003, Illinois State University, Department of Economics.
    35. Domenico De Giovanni & Fabio Lamantia, 2016. "Control delegation, information and beliefs in evolutionary oligopolies," Journal of Evolutionary Economics, Springer, vol. 26(5), pages 1089-1116, December.
    36. Davide Radi & Frank Westerhoff, 2024. "The green transition of firms: The role of evolutionary competition, adjustment costs, transition risk, and green technology progress," Papers 2410.20379, arXiv.org.
    37. 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.
    38. Kopel, Michael & Lamantia, Fabio & Szidarovszky, Ferenc, 2014. "Evolutionary competition in a mixed market with socially concerned firms," Journal of Economic Dynamics and Control, Elsevier, vol. 48(C), pages 394-409.
    39. Dieci, Roberto & Schmitt, Noemi & Westerhoff, Frank H., 2018. "Interactions between stock, bond and housing markets," BERG Working Paper Series 133, Bamberg University, Bamberg Economic Research Group.
    40. Berger, Ulrich & Hofbauer, Josef, 2006. "Irrational behavior in the Brown-von Neumann-Nash dynamics," Games and Economic Behavior, Elsevier, vol. 56(1), pages 1-6, July.
    41. Tuinstra, Jan & Wegener, Michael & Westerhoff, Frank, 2013. "Positive welfare effects of trade barriers in a dynamic equilibrium model," BERG Working Paper Series 91, Bamberg University, Bamberg Economic Research Group.
    42. Fabio Lamantia & Mario Pezzino, 2014. "Evolutionary efficacy of a Pay for Performance scheme with motivated agents," Economics Discussion Paper Series 1408, Economics, The University of Manchester.
    43. Laraki, Rida & Mertikopoulos, Panayotis, 2013. "Higher order game dynamics," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2666-2695.
    44. Ahmad Naimzada & Marina Pireddu, 2020. "A general equilibrium evolutionary model with two groups of agents, generating fashion cycle dynamics," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(1), pages 155-185, June.
    45. Gian Italo Bischi & Fabio Lamantia & Davide Radi, 2018. "Evolutionary oligopoly games with heterogeneous adaptive players," Chapters, in: Luis C. Corchón & Marco A. Marini (ed.), Handbook of Game Theory and Industrial Organization, Volume I, chapter 12, pages 343-370, Edward Elgar Publishing.
    46. Squintani, Francesco & Valimaki, Juuso, 2002. "Imitation and Experimentation in Changing Contests," Journal of Economic Theory, Elsevier, vol. 104(2), pages 376-404, June.
    47. Yannick Viossat, 2004. "Replicator Dynamics and Correlated Equilibrium," Working Papers hal-00242953, HAL.
    48. Sandholm, William H., 2005. "Excess payoff dynamics and other well-behaved evolutionary dynamics," Journal of Economic Theory, Elsevier, vol. 124(2), pages 149-170, October.
    49. Parke, William R. & Waters, George A., 2007. "An evolutionary game theory explanation of ARCH effects," Journal of Economic Dynamics and Control, Elsevier, vol. 31(7), pages 2234-2262, July.
    50. Francesco Squintani & Juuso Valimaki, 1999. "Imitation and Experimentation in a Changing Environment," Discussion Papers 1275, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    51. Sandholm, William H. & DokumacI, Emin & Lahkar, Ratul, 2008. "The projection dynamic and the replicator dynamic," Games and Economic Behavior, Elsevier, vol. 64(2), pages 666-683, November.
    52. Hommes, Cars H. & Ochea, Marius I., 2012. "Multiple equilibria and limit cycles in evolutionary games with Logit Dynamics," Games and Economic Behavior, Elsevier, vol. 74(1), pages 434-441.
    53. Bischi, Gian Italo & Lamantia, Fabio & Radi, Davide, 2015. "An evolutionary Cournot model with limited market knowledge," Journal of Economic Behavior & Organization, Elsevier, vol. 116(C), pages 219-238.
    54. Yannick Viossat, 2005. "Replicator Dynamics and Correlated Equilibrium: Elimination of All Strategies in the Support of Correlated Equilibria," Working Papers hal-00242977, HAL.
    55. Casajus, André & Kramm, Michael & Wiese, Harald, 2020. "Asymptotic stability in the Lovász-Shapley replicator dynamic for cooperative games," Journal of Economic Theory, Elsevier, vol. 186(C).
    56. Bernergård, Axel & Mohlin, Erik, 2017. "Evolutionary Selection against Iteratively Weakly Dominated Strategies," Working Papers 2017:18, Lund University, Department of Economics, revised 12 Nov 2018.
    57. Wang Yijia & Wang Zhijian, 2023. "Pulse in collapse: a game dynamics experiment," Papers 2302.09336, arXiv.org.
    58. Jonathan Newton, 2018. "Evolutionary Game Theory: A Renaissance," Games, MDPI, vol. 9(2), pages 1-67, May.
    59. Sandholm, William H., 2015. "Population Games and Deterministic Evolutionary Dynamics," Handbook of Game Theory with Economic Applications,, Elsevier.
    60. Cerboni Baiardi, Lorenzo & Lamantia, Fabio & Radi, Davide, 2015. "Evolutionary competition between boundedly rational behavioral rules in oligopoly games," Chaos, Solitons & Fractals, Elsevier, vol. 79(C), pages 204-225.

  5. J. Hofbauer, 2010. "Evolutionary Dynamics for Bimatrix Games: A Hamiltonian system?," Levine's Working Paper Archive 440, David K. Levine.

    Cited by:

    1. Cressman, R., 1997. "Local stability of smooth selection dynamics for normal form games," Mathematical Social Sciences, Elsevier, vol. 34(1), pages 1-19, August.

  6. J. Hofbauer & P. Schuster & K. Sigmund, 2010. "A Note on Evolutionary Stable Strategies and Game Dynamics," Levine's Working Paper Archive 441, David K. Levine.

    Cited by:

    1. Russell Golman & Scott Page, 2010. "Basins of attraction and equilibrium selection under different learning rules," Journal of Evolutionary Economics, Springer, vol. 20(1), pages 49-72, January.
    2. Werner Güth & Friederike Mengel & Axel Ockenfels, 2007. "An Evolutionary Analysis of Buyer Insurance and Seller Reputation in Online Markets," Theory and Decision, Springer, vol. 63(3), pages 265-282, November.
    3. Joerg Oechssler & Frank Riedel, 1998. "Evolutionary Dynamics on Infinite Strategy Spaces," Game Theory and Information 9805002, University Library of Munich, Germany, revised 05 Aug 1998.
    4. Mansoor Saburov, 2022. "On Discrete-Time Replicator Equations with Nonlinear Payoff Functions," Dynamic Games and Applications, Springer, vol. 12(2), pages 643-661, June.
    5. Fanelli, Domenico, 2010. "The Role of Socially Concerned Consumers in the Coexistence of Ethical and Standard Firms," MPRA Paper 20117, University Library of Munich, Germany.
    6. Reinoud Joosten, 2009. "Paul Samuelson's critique and equilibrium concepts in evolutionary game theory," Papers on Economics and Evolution 2009-16, Philipps University Marburg, Department of Geography.
    7. Russell Golman, 2011. "Why learning doesn’t add up: equilibrium selection with a composition of learning rules," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(4), pages 719-733, November.
    8. Reinoud Joosten & Berend Roorda, 2011. "Attractive evolutionary equilibria," Papers on Economics and Evolution 2011-17, Philipps University Marburg, Department of Geography.
    9. Matthijs van Veelen, 2001. "Evolution in Games with a Continuous Action Space," Tinbergen Institute Discussion Papers 01-068/1, Tinbergen Institute.
    10. Robert Molzon, 2012. "Large Population Limits for Evolutionary Dynamics with Random Matching," Dynamic Games and Applications, Springer, vol. 2(1), pages 146-159, March.
    11. Friederike Mengel & Axel Ockenfels & Werner Güth, 2006. "The Dynamics of Trust and Trustworthiness on EBay. An Evolutionary Analysis of Buyer Insurance and Seller Reputation," Papers on Strategic Interaction 2006-03, Max Planck Institute of Economics, Strategic Interaction Group.
    12. Reinoud Joosten & Berend Roorda, 2008. "Generalized projection dynamics in evolutionary game theory," Papers on Economics and Evolution 2008-11, Philipps University Marburg, Department of Geography.
    13. Desierto, D., 2005. "The Co-evolution of Institutions and Technology," Cambridge Working Papers in Economics 0558, Faculty of Economics, University of Cambridge.
    14. Desiree A. Desierto, 2008. "The Dynamics of Economic Integration," DEGIT Conference Papers c013_029, DEGIT, Dynamics, Economic Growth, and International Trade.

  7. Josef Hofbauer & Sylvain Sorin & Yannick Viossat, 2009. "Time Average Replicator and Best Reply Dynamics," Post-Print hal-00360767, HAL.

    Cited by:

    1. Sebastian Bervoets & Mathieu Faure, 2020. "Convergence in games with continua of equilibria," Post-Print hal-02964989, HAL.
    2. Norman, Thomas W.L., 2020. "Market selection with an endogenous state," Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 51-59.
    3. Mertikopoulos, Panayotis & Sandholm, William H., 2018. "Riemannian game dynamics," Journal of Economic Theory, Elsevier, vol. 177(C), pages 315-364.
    4. Viossat, Yannick & Zapechelnyuk, Andriy, 2013. "No-regret dynamics and fictitious play," Journal of Economic Theory, Elsevier, vol. 148(2), pages 825-842.
    5. van Strien, Sebastian & Sparrow, Colin, 2011. "Fictitious play in 3x3 games: Chaos and dithering behaviour," Games and Economic Behavior, Elsevier, vol. 73(1), pages 262-286, September.
    6. Yannick Viossat, 2014. "Game Dynamics and Nash Equilibria," Post-Print hal-00756096, HAL.
    7. Russell Golman, 2011. "Why learning doesn’t add up: equilibrium selection with a composition of learning rules," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(4), pages 719-733, November.
    8. Michel Benaïm & Josef Hofbauer & Sylvain Sorin, 2012. "Perturbations of Set-Valued Dynamical Systems, with Applications to Game Theory," Dynamic Games and Applications, Springer, vol. 2(2), pages 195-205, June.
    9. Sofia B. S. D. Castro, 2018. "Learning by replicator and best-response: the importance of being indifferent," Journal of Evolutionary Economics, Springer, vol. 28(4), pages 985-999, September.
    10. Sylvain Sorin, 2023. "Continuous Time Learning Algorithms in Optimization and Game Theory," Dynamic Games and Applications, Springer, vol. 13(1), pages 3-24, March.
    11. Laraki, Rida & Mertikopoulos, Panayotis, 2013. "Higher order game dynamics," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2666-2695.
    12. Liliana Garrido-da-Silva & Sofia B. S. D. Castro, 2020. "Cyclic dominance in a two-person rock–scissors–paper game," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(3), pages 885-912, September.
    13. Jonathan Newton, 2018. "Evolutionary Game Theory: A Renaissance," Games, MDPI, vol. 9(2), pages 1-67, May.
    14. Sandholm, William H., 2015. "Population Games and Deterministic Evolutionary Dynamics," Handbook of Game Theory with Economic Applications,, Elsevier.
    15. Lahkar, Ratul & Seymour, Robert M., 2013. "Reinforcement learning in population games," Games and Economic Behavior, Elsevier, vol. 80(C), pages 10-38.

  8. Dieter Balkenborg & Josef Hofbauer & Christoph Kuzmics, 2008. "Refined best-response correspondence and dynamics," Discussion Papers 0806, University of Exeter, Department of Economics.

    Cited by:

    1. Izquierdo, Segismundo S. & Izquierdo, Luis R., 2023. "Strategy sets closed under payoff sampling," Games and Economic Behavior, Elsevier, vol. 138(C), pages 126-142.
    2. Balkenborg, Dieter & Hofbauer, Josef & Kuzmics, Christoph, 2014. "The refined best-response correspondence in normal form games," Center for Mathematical Economics Working Papers 466, Center for Mathematical Economics, Bielefeld University.
    3. Dieter Balkenborg & Josef Hofbauer & Christoph Kuzmics, 2019. "The Refined Best Reply Correspondence and Backward Induction," German Economic Review, Verein für Socialpolitik, vol. 20(1), pages 52-66, February.
    4. Xu, Zibo, 2016. "Convergence of best-response dynamics in extensive-form games," Journal of Economic Theory, Elsevier, vol. 162(C), pages 21-54.
    5. Balkenborg, Dieter, 2018. "Rationalizability and logical inference," Games and Economic Behavior, Elsevier, vol. 110(C), pages 248-257.
    6. Dieter Balkenborg & Josef Hofbauer & Christoph Kuzmics, 2009. "The Refined Best-Response Correspondence and Backward Induction," Levine's Working Paper Archive 814577000000000248, David K. Levine.
    7. Leslie, David S. & Perkins, Steven & Xu, Zibo, 2020. "Best-response dynamics in zero-sum stochastic games," Journal of Economic Theory, Elsevier, vol. 189(C).
    8. Hans Carlsson & Philipp Christoph Wichardt, 2019. "Strict Incentives and Strategic Uncertainty," CESifo Working Paper Series 7715, CESifo.
    9. Peter Wikman, 2022. "Nash blocks," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(1), pages 29-51, March.
    10. Sandholm, William H., 2015. "Population Games and Deterministic Evolutionary Dynamics," Handbook of Game Theory with Economic Applications,, Elsevier.
    11. Christopher Kah & Markus Walzl, 2015. "Stochastic Stability in a Learning Dynamic with Best Response to Noisy Play," Working Papers 2015-15, Faculty of Economics and Statistics, Universität Innsbruck.
    12. Dai Zusai, 2018. "Tempered best response dynamics," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(1), pages 1-34, March.

  9. Michel Benaim & Josef Hofbauer & Ed Hopkins, 2006. "Learning in Games with Unstable Equilibria," Levine's Bibliography 321307000000000547, UCLA Department of Economics.

    Cited by:

    1. Immanuel Bomze & Werner Schachinger & Jörgen Weibull, 2021. "Does moral play equilibrate?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(1), pages 305-315, February.
    2. Andriy Zapechelnyuk, 2009. "Limit Behavior of No-regret Dynamics," Discussion Papers 21, Kyiv School of Economics.
    3. Timothy N. Cason & Daniel Friedman & Ed Hopkins, 2010. "Testing the TASP: An Experimental Investigation of Learning in Games with Unstable Equilibria," Purdue University Economics Working Papers 1233, Purdue University, Department of Economics.
    4. Jung S You, 2021. "Random Actions in Experimental Zero-Sum Games," Journal of Economics and Behavioral Studies, AMH International, vol. 13(1), pages 69-81.
    5. Jim Engle-Warnick & Ed Hopkins, 2006. "A Simple Test of Learning Theory," Levine's Bibliography 321307000000000724, UCLA Department of Economics.
    6. Fudenberg, Drew & He, Kevin, 2021. "Player-compatible learning and player-compatible equilibrium," Journal of Economic Theory, Elsevier, vol. 194(C).
    7. Jean Rabanal & Daniel Friedman, 2014. "Incomplete Information, Dynamic Stability and the Evolution of Preferences: Two Examples," Dynamic Games and Applications, Springer, vol. 4(4), pages 448-467, December.
    8. Marco Pangallo & James Sanders & Tobias Galla & Doyne Farmer, 2017. "Towards a taxonomy of learning dynamics in 2 x 2 games," Papers 1701.09043, arXiv.org, revised Sep 2021.
    9. Heller, Yuval, 2015. "Instability of Equilibria with Imperfect Private Monitoring," MPRA Paper 64468, University Library of Munich, Germany.
    10. Takahashi, Satoru & Fudenberg, Drew, 2011. "Heterogeneous beliefs and local information in stochastic fictitious play," Scholarly Articles 27755310, Harvard University Department of Economics.
    11. Aurora García-Gallego & Nikolaos Georgantzis & Ainhoa Jaramillo-Gutiérrez & Pedro Pereira & J. Carlos Pernías-Cerrillo, 2013. "On the evolution of monopoly pricing in Internet-assisted search markets," Working Papers 2013/05, Economics Department, Universitat Jaume I, Castellón (Spain).
    12. Xu, Bin & Zhou, Hai-Jun & Wang, Zhijian, 2013. "Cycle frequency in standard Rock–Paper–Scissors games: Evidence from experimental economics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 4997-5005.
    13. Roger Waldeck & Eric Darmon, 2006. "Can boundedly rational sellers learn to play Nash?," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 1(2), pages 147-169, November.
    14. Drew Fudenberg & David K Levine, 2016. "Whither Game Theory?," Levine's Working Paper Archive 786969000000001307, David K. Levine.
    15. Ulrich Berger, 2012. "Non-algebraic Convergence Proofs for Continuous-Time Fictitious Play," Dynamic Games and Applications, Springer, vol. 2(1), pages 4-17, March.
    16. Timothy N. Cason & Daniel Friedman & ED Hopkins, 2014. "Cycles and Instability in a Rock--Paper--Scissors Population Game: A Continuous Time Experiment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(1), pages 112-136.
    17. Ratul, Lahkar, 2011. "The dynamic instability of dispersed price equilibria," Journal of Economic Theory, Elsevier, vol. 146(5), pages 1796-1827, September.
    18. García-Gallego Aurora & Georgantzís Nikolaos & Pereira Pedro & Pernías-Cerrillo José C., 2016. "Bias and Size Effects of Price-Comparison Platforms: Theory and Experimental Evidence," Review of Network Economics, De Gruyter, vol. 15(1), pages 1-34, March.
    19. Pangallo, Marco & Farmer, J. Doyne & Sanders, James & Galla, Tobias, 2017. "A taxonomy of learning dynamics in 2 × 2 games," INET Oxford Working Papers 2017-06, Institute for New Economic Thinking at the Oxford Martin School, University of Oxford.
    20. Heller, Yuval, 2017. "Instability of belief-free equilibria," Journal of Economic Theory, Elsevier, vol. 168(C), pages 261-286.
    21. Stephenson, Daniel, 2019. "Coordination and evolutionary dynamics: When are evolutionary models reliable?," Games and Economic Behavior, Elsevier, vol. 113(C), pages 381-395.
    22. Martin Hahn, 2012. "An Evolutionary Analysis of Varian’s Model of Sales," Dynamic Games and Applications, Springer, vol. 2(1), pages 71-96, March.
    23. Hoffmann, Eric, 2016. "On the learning and stability of mixed strategy Nash equilibria in games of strategic substitutes," Journal of Economic Behavior & Organization, Elsevier, vol. 130(C), pages 349-362.
    24. Hommes, Cars H. & Ochea, Marius I., 2012. "Multiple equilibria and limit cycles in evolutionary games with Logit Dynamics," Games and Economic Behavior, Elsevier, vol. 74(1), pages 434-441.
    25. Jakub Bielawski & Thiparat Chotibut & Fryderyk Falniowski & Michal Misiurewicz & Georgios Piliouras, 2022. "Unpredictable dynamics in congestion games: memory loss can prevent chaos," Papers 2201.10992, arXiv.org, revised Jan 2022.
    26. Ellison, Glenn & Fudenberg, Drew & Imhof, Lorens A., 2016. "Fast convergence in evolutionary models: A Lyapunov approach," Journal of Economic Theory, Elsevier, vol. 161(C), pages 1-36.
    27. Sandholm, William H., 2015. "Population Games and Deterministic Evolutionary Dynamics," Handbook of Game Theory with Economic Applications,, Elsevier.
    28. Georgios Chasparis & Jeff Shamma, 2012. "Distributed Dynamic Reinforcement of Efficient Outcomes in Multiagent Coordination and Network Formation," Dynamic Games and Applications, Springer, vol. 2(1), pages 18-50, March.

  10. Cressman, Ross & Hofbauer, Josef & Riedel, Frank, 2005. "Stability of the Replicator Equation for a Single-Species with a Multi-Dimensional Continuous Trait Space," Bonn Econ Discussion Papers 12/2005, University of Bonn, Bonn Graduate School of Economics (BGSE).

    Cited by:

    1. Hofbauer, Josef & Oechssler, Jörg & Riedel, Frank, 2005. "Brown-von Neumann-Nash dynamics : the continuous strategy case," Papers 05-41, Sonderforschungsbreich 504.

  11. Michel Benaim & Josef Hofbauer & Sylvain Sorin, 2005. "Stochastic Approximations and Differential Inclusions II: Applications," Levine's Bibliography 784828000000000098, UCLA Department of Economics.

    Cited by:

    1. Sebastian Bervoets & Mathieu Faure, 2020. "Convergence in games with continua of equilibria," Post-Print hal-02964989, HAL.
    2. Swenson, Brian & Murray, Ryan & Kar, Soummya, 2020. "Regular potential games," Games and Economic Behavior, Elsevier, vol. 124(C), pages 432-453.
    3. Andriy Zapechelnyuk, 2009. "Limit Behavior of No-regret Dynamics," Discussion Papers 21, Kyiv School of Economics.
    4. Timothy N. Cason & Daniel Friedman & Ed Hopkins, 2010. "Testing the TASP: An Experimental Investigation of Learning in Games with Unstable Equilibria," Purdue University Economics Working Papers 1233, Purdue University, Department of Economics.
    5. Esponda, Ignacio & Pouzo, Demian & Yamamoto, Yuichi, 2021. "Asymptotic behavior of Bayesian learners with misspecified models," Journal of Economic Theory, Elsevier, vol. 195(C).
    6. Michel Benaim & Josef Hofbauer & Ed Hopkins, 2006. "Learning in Games with Unstable Equilibria," Levine's Bibliography 321307000000000547, UCLA Department of Economics.
    7. Michel Benaïm & Josef Hofbauer & Sylvain Sorin, 2005. "Stochastic Approximations and Differential Inclusions; Part II: Applications," Working Papers hal-00242974, HAL.
    8. Viossat, Yannick & Zapechelnyuk, Andriy, 2013. "No-regret dynamics and fictitious play," Journal of Economic Theory, Elsevier, vol. 148(2), pages 825-842.
    9. van Strien, Sebastian & Sparrow, Colin, 2011. "Fictitious play in 3x3 games: Chaos and dithering behaviour," Games and Economic Behavior, Elsevier, vol. 73(1), pages 262-286, September.
    10. In-Koo Cho & Anna Rubinchik, 2017. "Contemplation vs. intuition: a reinforcement learning perspective," EURO Journal on Decision Processes, Springer;EURO - The Association of European Operational Research Societies, vol. 5(1), pages 141-167, November.
    11. Berger, Ulrich, 2007. "Two more classes of games with the continuous-time fictitious play property," Games and Economic Behavior, Elsevier, vol. 60(2), pages 247-261, August.
    12. Bolte, Jérôme & Pauwels, Edouard, 2021. "A mathematical model for automatic differentiation in machine learning," TSE Working Papers 21-1184, Toulouse School of Economics (TSE).
    13. Akimoto, Youhei & Auger, Anne & Hansen, Nikolaus, 2022. "An ODE method to prove the geometric convergence of adaptive stochastic algorithms," Stochastic Processes and their Applications, Elsevier, vol. 145(C), pages 269-307.
    14. Edouard Pauwels, 2021. "Incremental Without Replacement Sampling in Nonconvex Optimization," Journal of Optimization Theory and Applications, Springer, vol. 190(1), pages 274-299, July.
    15. Ignacio Esponda & Demian Pouzo & Yuichi Yamamoto, 2019. "Asymptotic Behavior of Bayesian Learners with Misspecified Models," Papers 1904.08551, arXiv.org, revised Oct 2019.
    16. Leslie, David S. & Perkins, Steven & Xu, Zibo, 2020. "Best-response dynamics in zero-sum stochastic games," Journal of Economic Theory, Elsevier, vol. 189(C).
    17. Tuval Danenberg & Drew Fudenberg, 2024. "Endogenous Attention and the Spread of False News," Papers 2406.11024, arXiv.org.
    18. Josef Hofbauer & Sylvain Sorin & Yannick Viossat, 2009. "Time Average Replicator and Best Reply Dynamics," Post-Print hal-00360767, HAL.
    19. Bravo, Mario & Mertikopoulos, Panayotis, 2017. "On the robustness of learning in games with stochastically perturbed payoff observations," Games and Economic Behavior, Elsevier, vol. 103(C), pages 41-66.
    20. Bervoets, Sebastian & Faure, Mathieu, 2019. "Stability in games with continua of equilibria," Journal of Economic Theory, Elsevier, vol. 179(C), pages 131-162.
    21. Ziv Gorodeisky, 2008. "Stochastic Approximation of Discontinuous Dynamics," Discussion Paper Series dp496, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    22. Wouter Baar & Dario Bauso, 2022. "Mean Field Games on Prosumers," SN Operations Research Forum, Springer, vol. 3(4), pages 1-27, December.
    23. Michel Benaïm & Josef Hofbauer & Sylvain Sorin, 2012. "Perturbations of Set-Valued Dynamical Systems, with Applications to Game Theory," Dynamic Games and Applications, Springer, vol. 2(2), pages 195-205, June.
    24. Sylvain Sorin, 2023. "Continuous Time Learning Algorithms in Optimization and Game Theory," Dynamic Games and Applications, Springer, vol. 13(1), pages 3-24, March.
    25. Leslie, David S. & Collins, E.J., 2006. "Generalised weakened fictitious play," Games and Economic Behavior, Elsevier, vol. 56(2), pages 285-298, August.
    26. Arunselvan Ramaswamy & Shalabh Bhatnagar, 2017. "A Generalization of the Borkar-Meyn Theorem for Stochastic Recursive Inclusions," Mathematics of Operations Research, INFORMS, vol. 42(3), pages 648-661, August.
    27. Bolte, Jérôme & Pauwels, Edouard, 2019. "Conservative set valued fields, automatic differentiation, stochastic gradient methods and deep learning," TSE Working Papers 19-1044, Toulouse School of Economics (TSE).
    28. Candogan, Ozan & Ozdaglar, Asuman & Parrilo, Pablo A., 2013. "Dynamics in near-potential games," Games and Economic Behavior, Elsevier, vol. 82(C), pages 66-90.
    29. Cominetti, Roberto & Melo, Emerson & Sorin, Sylvain, 2010. "A payoff-based learning procedure and its application to traffic games," Games and Economic Behavior, Elsevier, vol. 70(1), pages 71-83, September.
    30. Dileep Kalathil & Vivek S. Borkar & Rahul Jain, 2017. "Approachability in Stackelberg Stochastic Games with Vector Costs," Dynamic Games and Applications, Springer, vol. 7(3), pages 422-442, September.
    31. Pascal Bianchi & Walid Hachem, 2016. "Dynamical Behavior of a Stochastic Forward–Backward Algorithm Using Random Monotone Operators," Journal of Optimization Theory and Applications, Springer, vol. 171(1), pages 90-120, October.
    32. Sandholm, William H., 2015. "Population Games and Deterministic Evolutionary Dynamics," Handbook of Game Theory with Economic Applications,, Elsevier.
    33. Andrés Contreras & Juan Peypouquet, 2019. "Asymptotic Equivalence of Evolution Equations Governed by Cocoercive Operators and Their Forward Discretizations," Journal of Optimization Theory and Applications, Springer, vol. 182(1), pages 30-48, July.
    34. Michel Benaïm & Josef Hofbauer & Sylvain Sorin, 2003. "Stochastic Approximations and Differential Inclusions," Working Papers hal-00242990, HAL.
    35. Michel Benaim & Olivier Raimond, 2007. "Simulated Annealing, Vertex-Reinforced Random Walks and Learning in Games," Levine's Bibliography 122247000000001702, UCLA Department of Economics.

  12. Michel Benaïm & Josef Hofbauer & Sylvain Sorin, 2005. "Stochastic Approximations and Differential Inclusions; Part II: Applications," Working Papers hal-00242974, HAL.

    Cited by:

    1. Sebastian Bervoets & Mathieu Faure, 2020. "Convergence in games with continua of equilibria," Post-Print hal-02964989, HAL.
    2. Swenson, Brian & Murray, Ryan & Kar, Soummya, 2020. "Regular potential games," Games and Economic Behavior, Elsevier, vol. 124(C), pages 432-453.
    3. Sebastian Bervoets & Mario Bravo & Mathieu Faure, 2020. "Learning with minimal information in continuous games," Post-Print hal-02534257, HAL.
    4. Andriy Zapechelnyuk, 2009. "Limit Behavior of No-regret Dynamics," Discussion Papers 21, Kyiv School of Economics.
    5. Timothy N. Cason & Daniel Friedman & Ed Hopkins, 2010. "Testing the TASP: An Experimental Investigation of Learning in Games with Unstable Equilibria," Purdue University Economics Working Papers 1233, Purdue University, Department of Economics.
    6. Esponda, Ignacio & Pouzo, Demian & Yamamoto, Yuichi, 2021. "Asymptotic behavior of Bayesian learners with misspecified models," Journal of Economic Theory, Elsevier, vol. 195(C).
    7. Michel Benaim & Josef Hofbauer & Ed Hopkins, 2006. "Learning in Games with Unstable Equilibria," Levine's Bibliography 321307000000000547, UCLA Department of Economics.
    8. Viossat, Yannick & Zapechelnyuk, Andriy, 2013. "No-regret dynamics and fictitious play," Journal of Economic Theory, Elsevier, vol. 148(2), pages 825-842.
    9. van Strien, Sebastian & Sparrow, Colin, 2011. "Fictitious play in 3x3 games: Chaos and dithering behaviour," Games and Economic Behavior, Elsevier, vol. 73(1), pages 262-286, September.
    10. In-Koo Cho & Anna Rubinchik, 2017. "Contemplation vs. intuition: a reinforcement learning perspective," EURO Journal on Decision Processes, Springer;EURO - The Association of European Operational Research Societies, vol. 5(1), pages 141-167, November.
    11. Berger, Ulrich, 2007. "Two more classes of games with the continuous-time fictitious play property," Games and Economic Behavior, Elsevier, vol. 60(2), pages 247-261, August.
    12. Bolte, Jérôme & Pauwels, Edouard, 2021. "A mathematical model for automatic differentiation in machine learning," TSE Working Papers 21-1184, Toulouse School of Economics (TSE).
    13. Akimoto, Youhei & Auger, Anne & Hansen, Nikolaus, 2022. "An ODE method to prove the geometric convergence of adaptive stochastic algorithms," Stochastic Processes and their Applications, Elsevier, vol. 145(C), pages 269-307.
    14. Edouard Pauwels, 2021. "Incremental Without Replacement Sampling in Nonconvex Optimization," Journal of Optimization Theory and Applications, Springer, vol. 190(1), pages 274-299, July.
    15. Ignacio Esponda & Demian Pouzo & Yuichi Yamamoto, 2019. "Asymptotic Behavior of Bayesian Learners with Misspecified Models," Papers 1904.08551, arXiv.org, revised Oct 2019.
    16. Leslie, David S. & Perkins, Steven & Xu, Zibo, 2020. "Best-response dynamics in zero-sum stochastic games," Journal of Economic Theory, Elsevier, vol. 189(C).
    17. Bravo, Mario & Mertikopoulos, Panayotis, 2017. "On the robustness of learning in games with stochastically perturbed payoff observations," Games and Economic Behavior, Elsevier, vol. 103(C), pages 41-66.
    18. Bervoets, Sebastian & Faure, Mathieu, 2019. "Stability in games with continua of equilibria," Journal of Economic Theory, Elsevier, vol. 179(C), pages 131-162.
    19. Ratul, Lahkar, 2011. "The dynamic instability of dispersed price equilibria," Journal of Economic Theory, Elsevier, vol. 146(5), pages 1796-1827, September.
    20. Wouter Baar & Dario Bauso, 2022. "Mean Field Games on Prosumers," SN Operations Research Forum, Springer, vol. 3(4), pages 1-27, December.
    21. Michel Benaïm & Josef Hofbauer & Sylvain Sorin, 2012. "Perturbations of Set-Valued Dynamical Systems, with Applications to Game Theory," Dynamic Games and Applications, Springer, vol. 2(2), pages 195-205, June.
    22. Sylvain Sorin, 2023. "Continuous Time Learning Algorithms in Optimization and Game Theory," Dynamic Games and Applications, Springer, vol. 13(1), pages 3-24, March.
    23. Leslie, David S. & Collins, E.J., 2006. "Generalised weakened fictitious play," Games and Economic Behavior, Elsevier, vol. 56(2), pages 285-298, August.
    24. Arunselvan Ramaswamy & Shalabh Bhatnagar, 2017. "A Generalization of the Borkar-Meyn Theorem for Stochastic Recursive Inclusions," Mathematics of Operations Research, INFORMS, vol. 42(3), pages 648-661, August.
    25. Bolte, Jérôme & Pauwels, Edouard, 2019. "Conservative set valued fields, automatic differentiation, stochastic gradient methods and deep learning," TSE Working Papers 19-1044, Toulouse School of Economics (TSE).
    26. Candogan, Ozan & Ozdaglar, Asuman & Parrilo, Pablo A., 2013. "Dynamics in near-potential games," Games and Economic Behavior, Elsevier, vol. 82(C), pages 66-90.
    27. Cominetti, Roberto & Melo, Emerson & Sorin, Sylvain, 2010. "A payoff-based learning procedure and its application to traffic games," Games and Economic Behavior, Elsevier, vol. 70(1), pages 71-83, September.
    28. Dileep Kalathil & Vivek S. Borkar & Rahul Jain, 2017. "Approachability in Stackelberg Stochastic Games with Vector Costs," Dynamic Games and Applications, Springer, vol. 7(3), pages 422-442, September.
    29. Pascal Bianchi & Walid Hachem, 2016. "Dynamical Behavior of a Stochastic Forward–Backward Algorithm Using Random Monotone Operators," Journal of Optimization Theory and Applications, Springer, vol. 171(1), pages 90-120, October.
    30. Sandholm, William H., 2015. "Population Games and Deterministic Evolutionary Dynamics," Handbook of Game Theory with Economic Applications,, Elsevier.
    31. Andrés Contreras & Juan Peypouquet, 2019. "Asymptotic Equivalence of Evolution Equations Governed by Cocoercive Operators and Their Forward Discretizations," Journal of Optimization Theory and Applications, Springer, vol. 182(1), pages 30-48, July.
    32. Michel Benaim & Olivier Raimond, 2007. "Simulated Annealing, Vertex-Reinforced Random Walks and Learning in Games," Levine's Bibliography 122247000000001702, UCLA Department of Economics.

  13. Hofbauer, Josef & Oechssler, Jörg & Riedel, Frank, 2005. "Brown-von Neumann-Nash dynamics : the continuous strategy case," Papers 05-41, Sonderforschungsbreich 504.

    Cited by:

    1. Wu, Jiabin, 2017. "Political institutions and the evolution of character traits," Games and Economic Behavior, Elsevier, vol. 106(C), pages 260-276.
    2. Pedro, de Mendonça, 2009. "Self-Enforcing Climate Change Treaties: A Generalized Differential Game Approach with Applications," MPRA Paper 17889, University Library of Munich, Germany.
    3. Dharini Hingu, 2020. "Asymptotic stability of strongly uninvadable sets," Annals of Operations Research, Springer, vol. 287(2), pages 737-749, April.
    4. Lahkar, Ratul & Mukherjee, Saptarshi, 2019. "Evolutionary implementation in a public goods game," Journal of Economic Theory, Elsevier, vol. 181(C), pages 423-460.
    5. Jiabin Wu, 2021. "Stochastic Value Formation," Dynamic Games and Applications, Springer, vol. 11(3), pages 597-611, September.
    6. Fernando Louge & Frank Riedel, 2012. "Evolutionary Stability in First Price Auctions," Dynamic Games and Applications, Springer, vol. 2(1), pages 110-128, March.
    7. Kabir, K.M. Ariful & Tanimoto, Jun, 2021. "The role of pairwise nonlinear evolutionary dynamics in the rock–paper–scissors game with noise," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    8. Dharini Hingu & K. S. Mallikarjuna Rao & A. J. Shaiju, 2018. "Evolutionary Stability of Polymorphic Population States in Continuous Games," Dynamic Games and Applications, Springer, vol. 8(1), pages 141-156, March.
    9. Akamatsu, Takashi & Fujishima, Shota & Takayama, Yuki, 2017. "Discrete-space agglomeration model with social interactions: Multiplicity, stability, and continuous limit of equilibria," Journal of Mathematical Economics, Elsevier, vol. 69(C), pages 22-37.
    10. Friedman, Daniel & Ostrov, Daniel N., 2013. "Evolutionary dynamics over continuous action spaces for population games that arise from symmetric two-player games," Journal of Economic Theory, Elsevier, vol. 148(2), pages 743-777.
    11. Kun Lin & Steven I. Marcus, 2016. "Cumulative weighting optimization," Journal of Global Optimization, Springer, vol. 65(3), pages 487-512, July.
    12. Friedman, Daniel & Ostrov, Daniel N., 2010. "Gradient dynamics in population games: Some basic results," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 691-707, September.
    13. Jäger, Gerhard & Koch-Metzger, Lars & Riedel, Frank, 2011. "Voronoi languages. Equilibria in cheap-talk games with high-dimensional types and few signals," Center for Mathematical Economics Working Papers 420, Center for Mathematical Economics, Bielefeld University.
    14. Ratul Lahkar & Vinay Ramani, 2021. "An Evolutionary Approach to Pollution Control in Competitive Markets," Working Papers 68, Ashoka University, Department of Economics.
    15. Takeshi Murooka & Yuichi Yamamoto, 2021. "Misspecified Bayesian Learning by Strategic Players: First-Order Misspecification and Higher-Order Misspecification," OSIPP Discussion Paper 21E008, Osaka School of International Public Policy, Osaka University.
    16. Podczeck, Konrad & Puzzello, Daniela, 2009. "Independent Random Matching," MPRA Paper 27687, University Library of Munich, Germany, revised Sep 2010.
    17. Jean Paul Rabanal, 2017. "On the Evolution of Continuous Types Under Replicator and Gradient Dynamics: Two Examples," Dynamic Games and Applications, Springer, vol. 7(1), pages 76-92, March.
    18. Perkins, S. & Leslie, D.S., 2014. "Stochastic fictitious play with continuous action sets," Journal of Economic Theory, Elsevier, vol. 152(C), pages 179-213.
    19. Lahkar, Ratul & Riedel, Frank, 2016. "The Continuous Logit Dynamic and Price Dispersion," Center for Mathematical Economics Working Papers 521, Center for Mathematical Economics, Bielefeld University.
    20. Ross Cressman, 2009. "Continuously stable strategies, neighborhood superiority and two-player games with continuous strategy space," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(2), pages 221-247, June.
    21. Cheung, Man-Wah, 2014. "Pairwise comparison dynamics for games with continuous strategy space," Journal of Economic Theory, Elsevier, vol. 153(C), pages 344-375.
    22. Cheung, Man-Wah & Lahkar, Ratul, 2018. "Nonatomic potential games: the continuous strategy case," Games and Economic Behavior, Elsevier, vol. 108(C), pages 341-362.
    23. Jäger, Gerhard & Metzger, Lars P. & Riedel, Frank, 2011. "Voronoi languages," Games and Economic Behavior, Elsevier, vol. 73(2), pages 517-537.
    24. Karolina Safarzyńska & Jeroen Bergh, 2010. "Evolutionary models in economics: a survey of methods and building blocks," Journal of Evolutionary Economics, Springer, vol. 20(3), pages 329-373, June.
    25. Ratul Lahkar & Saptarshi Mukherjee, 2020. "Evolutionary Implementation in Aggregative Games," Working Papers 38, Ashoka University, Department of Economics.
    26. Lamotte, Raphaël & Geroliminis, Nikolas, 2021. "Monotonicity in the trip scheduling problem," Transportation Research Part B: Methodological, Elsevier, vol. 146(C), pages 14-25.
    27. Ratul Lahkar & Vinay Ramani, 2022. "An Evolutionary Approach to Pollution Control in Competitive Markets," Dynamic Games and Applications, Springer, vol. 12(3), pages 872-896, September.
    28. Takeshi Murooka & Yuichi Yamamoto, 2021. "Multi-Player Bayesian Learning with Misspecified Models," OSIPP Discussion Paper 21E001, Osaka School of International Public Policy, Osaka University.
    29. Sandholm, William H., 2015. "Population Games and Deterministic Evolutionary Dynamics," Handbook of Game Theory with Economic Applications,, Elsevier.
    30. Cheung, Man-Wah, 2016. "Imitative dynamics for games with continuous strategy space," Games and Economic Behavior, Elsevier, vol. 99(C), pages 206-223.
    31. Lahkar, Ratul & Riedel, Frank, 2015. "The logit dynamic for games with continuous strategy sets," Games and Economic Behavior, Elsevier, vol. 91(C), pages 268-282.

  14. Ulrich Berger & Josef Hofbauer, 2004. "Irrational behavior in the Brown-von Neumann-Nash dynamics," Game Theory and Information 0409002, University Library of Munich, Germany, revised 09 Sep 2004.

    Cited by:

    1. Hofbauer, Josef & Oechssler, Jörg & Riedel, Frank, 2005. "Brown-von Neumann-Nash dynamics : the continuous strategy case," Papers 05-41, Sonderforschungsbreich 504.
    2. Viossat, Yannick, 2008. "Evolutionary dynamics may eliminate all strategies used in correlated equilibrium," Mathematical Social Sciences, Elsevier, vol. 56(1), pages 27-43, July.
    3. Yannick Viossat, 2015. "Evolutionary dynamics and dominated strategies," Post-Print hal-01253535, HAL.
    4. Ulrich Berger, 2003. "A general model of best response adaptation," Game Theory and Information 0303008, University Library of Munich, Germany.
    5. Yannick Viossat, 2011. "Deterministic monotone dynamics and dominated strategies," Working Papers hal-00636620, HAL.
    6. Sandholm, William H. & Izquierdo, Segismundo S. & Izquierdo, Luis R., 2020. "Stability for best experienced payoff dynamics," Journal of Economic Theory, Elsevier, vol. 185(C).
    7. Sandholm, William H. & DokumacI, Emin & Lahkar, Ratul, 2008. "The projection dynamic and the replicator dynamic," Games and Economic Behavior, Elsevier, vol. 64(2), pages 666-683, November.
    8. Sandholm, William H., 2015. "Population Games and Deterministic Evolutionary Dynamics," Handbook of Game Theory with Economic Applications,, Elsevier.

  15. Hofbauer,J. & Sandholm,W.H., 2003. "Evolution in games with randomly disturbed payoffs," Working papers 20, Wisconsin Madison - Social Systems.

    Cited by:

    1. Hofbauer, Josef & Oechssler, Jörg & Riedel, Frank, 2005. "Brown-von Neumann-Nash dynamics : the continuous strategy case," Papers 05-41, Sonderforschungsbreich 504.
    2. Liu, Xiaodong & Patacchini, Eleonora & Zenou, Yves & Lee, Lung-Fei, 2012. "Criminal Networks: Who is the Key Player?," Climate Change and Sustainable Development 128707, Fondazione Eni Enrico Mattei (FEEM).
    3. Zhang, Boyu & Hofbauer, Josef, 2016. "Quantal response methods for equilibrium selection in 2×2 coordination games," Games and Economic Behavior, Elsevier, vol. 97(C), pages 19-31.
    4. Michael Koenig & Claudio Tessone & Yves Zenou, 2012. "Nestedness in Networks: A Theoretical Model and Some Applications," Discussion Papers 11-003, Stanford Institute for Economic Policy Research.
    5. Mertikopoulos, Panayotis & Sandholm, William H., 2018. "Riemannian game dynamics," Journal of Economic Theory, Elsevier, vol. 177(C), pages 315-364.
    6. Bill Sandholm, 2003. "Excess Payoff Dynamics, Potential Dynamics, and Stable Games," Theory workshop papers 505798000000000042, UCLA Department of Economics.
    7. Iryo, Takamasa & Watling, David, 2019. "Properties of equilibria in transport problems with complex interactions between users," Transportation Research Part B: Methodological, Elsevier, vol. 126(C), pages 87-114.
    8. William H. Sandholm & Mathias Staudigl, 2018. "Sample Path Large Deviations for Stochastic Evolutionary Game Dynamics," Mathematics of Operations Research, INFORMS, vol. 43(4), pages 1348-1377, November.
    9. Alós-Ferrer, Carlos & Netzer, Nick, 2010. "The logit-response dynamics," Games and Economic Behavior, Elsevier, vol. 68(2), pages 413-427, March.
    10. Sun, Wenjun & Zhu, Changfeng & Li, Hui, 2022. "Evolutionary game of emergency logistics path selection under bounded rationality," Socio-Economic Planning Sciences, Elsevier, vol. 82(PB).
    11. Oyama Daisuke & William H. Sandholm & Olivier Tercieux, 2015. "Sampling best response dynamics and deterministic equilibrium selection," PSE-Ecole d'économie de Paris (Postprint) halshs-01157537, HAL.
    12. Iryo, Takamasa, 2019. "Instability of departure time choice problem: A case with replicator dynamics," Transportation Research Part B: Methodological, Elsevier, vol. 126(C), pages 353-364.
    13. Michael J. Fox & Jeff S. Shamma, 2013. "Population Games, Stable Games, and Passivity," Games, MDPI, vol. 4(4), pages 1-23, October.
    14. David Watling & Giulio Cantarella, 2015. "Model Representation & Decision-Making in an Ever-Changing World: The Role of Stochastic Process Models of Transportation Systems," Networks and Spatial Economics, Springer, vol. 15(3), pages 843-882, September.
    15. Sandholm,W.H., 2002. "Potential dynamics and stable games," Working papers 21, Wisconsin Madison - Social Systems.
    16. Berliant, Marcus, 2023. "Commuting and internet traffic congestion," MPRA Paper 119590, University Library of Munich, Germany.
    17. Ikeda, Kiyohiro & Murota, Kazuo & Akamatsu, Takashi & Kono, Tatsuhito & Takayama, Yuki, 2014. "Self-organization of hexagonal agglomeration patterns in new economic geography models," Journal of Economic Behavior & Organization, Elsevier, vol. 99(C), pages 32-52.
    18. Dai Zusai, 2017. "Nonaggregable evolutionary dynamics under payoff heterogeneity," DETU Working Papers 1702, Department of Economics, Temple University.
    19. Lahkar, Ratul & Mukherjee, Sayan & Roy, Souvik, 2023. "The logit dynamic in supermodular games with a continuum of strategies: A deterministic approximation approach," Games and Economic Behavior, Elsevier, vol. 139(C), pages 133-160.
    20. Itai Arieli & H Peyton Young, 2011. "Stochastic Learning Dynamics and Speed of Convergence in Population Games," Economics Series Working Papers 570, University of Oxford, Department of Economics.
    21. Takahashi, Satoru & Fudenberg, Drew, 2011. "Heterogeneous beliefs and local information in stochastic fictitious play," Scholarly Articles 27755310, Harvard University Department of Economics.
    22. Iryo, Takamasa, 2016. "Day-to-day dynamical model incorporating an explicit description of individuals’ information collection behaviour," Transportation Research Part B: Methodological, Elsevier, vol. 92(PA), pages 88-103.
    23. Mantas Radzvilas & Francesco De Pretis & William Peden & Daniele Tortoli & Barbara Osimani, 2020. "Double blind vs. open review: an evolutionary game logit-simulating the behavior of authors and reviewers," Papers 2011.07797, arXiv.org.
    24. Pietro Dindo & Jan Tuinstra, 2011. "A Class of Evolutionary Models for Participation Games with Negative Feedback," Computational Economics, Springer;Society for Computational Economics, vol. 37(3), pages 267-300, March.
    25. Lahkar, Ratul & Mukherjee, Sayan & Roy, Souvik, 2022. "Generalized perturbed best response dynamics with a continuum of strategies," Journal of Economic Theory, Elsevier, vol. 200(C).
    26. Hofbauer, Josef & Sandholm, William H., 2009. "Stable games and their dynamics," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1665-1693.4, July.
    27. RatulLahkar & Sayan Mukherjee & Souvik Roy, 2021. "Generalized Perturbed Best Response Dynamics with a Continuum of Strategies," Working Papers 51, Ashoka University, Department of Economics.
    28. Dai Zusai, 2018. "Evolutionary dynamics in heterogeneous populations: a general framework for an arbitrary type distribution," Papers 1805.04897, arXiv.org, revised May 2019.
    29. Häfner, Samuel, 2018. "Stable biased sampling," Games and Economic Behavior, Elsevier, vol. 107(C), pages 109-122.
    30. Pradiptyo, Rimawan & Sasmitasiwi, Banoon & Sahadewo, Gumilang Aryo, 2011. "Evidence of homo economicus? Findings from experiment on evolutionary prisoners' dilemma game," MPRA Paper 30480, University Library of Munich, Germany.
    31. Waltman, Ludo & Kaymak, Uzay, 2008. "Q-learning agents in a Cournot oligopoly model," Journal of Economic Dynamics and Control, Elsevier, vol. 32(10), pages 3275-3293, October.
    32. Lahkar, Ratul & Sandholm, William H., 2008. "The projection dynamic and the geometry of population games," Games and Economic Behavior, Elsevier, vol. 64(2), pages 565-590, November.
    33. Anindya S. Chakrabarti & Ratul Lahkar, 2018. "An Evolutionary Analysis of Growth and Fluctuations with Negative Externalities," Dynamic Games and Applications, Springer, vol. 8(4), pages 733-760, December.
    34. Cheung, Man-Wah & Lahkar, Ratul, 2018. "Nonatomic potential games: the continuous strategy case," Games and Economic Behavior, Elsevier, vol. 108(C), pages 341-362.
    35. Ratul, Lahkar, 2011. "The dynamic instability of dispersed price equilibria," Journal of Economic Theory, Elsevier, vol. 146(5), pages 1796-1827, September.
    36. Chakrabarti, Anindya S. & Lahkar, Ratul, 2017. "Productivity dispersion and output fluctuations: An evolutionary model," Journal of Economic Behavior & Organization, Elsevier, vol. 137(C), pages 339-360.
    37. Mantas Radzvilas & Francesco De Pretis & William Peden & Daniele Tortoli & Barbara Osimani, 2023. "Incentives for Research Effort: An Evolutionary Model of Publication Markets with Double-Blind and Open Review," Computational Economics, Springer;Society for Computational Economics, vol. 61(4), pages 1433-1476, April.
    38. Izquierdo, Luis R. & Izquierdo, Segismundo S. & Sandholm, William H., 2019. "An introduction to ABED: Agent-based simulation of evolutionary game dynamics," Games and Economic Behavior, Elsevier, vol. 118(C), pages 434-462.
    39. Staudigl, Mathias, 2011. "Potential games in volatile environments," Games and Economic Behavior, Elsevier, vol. 72(1), pages 271-287, May.
    40. Russell, Golman, 2011. "Quantal response equilibria with heterogeneous agents," Journal of Economic Theory, Elsevier, vol. 146(5), pages 2013-2028, September.
    41. Mathias Staudigl, 2013. "Co-evolutionary dynamics and Bayesian interaction games," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(1), pages 179-210, February.
    42. Zhang, Boyu, 2016. "Quantal response methods for equilibrium selection in normal form games," Journal of Mathematical Economics, Elsevier, vol. 64(C), pages 113-123.
    43. Akamatsu, Takashi & Takayama, Yuki & Ikeda, Kiyohiro, 2009. "Spatial Discounting, Fourier, and Racetrack Economy: A Recipe for the Analysis of Spatial Agglomeration Models," MPRA Paper 21738, University Library of Munich, Germany, revised 25 Dec 2009.
    44. Staudigl, Mathias, 2012. "Stochastic stability in asymmetric binary choice coordination games," Games and Economic Behavior, Elsevier, vol. 75(1), pages 372-401.
    45. Sandholm, William H. & DokumacI, Emin & Lahkar, Ratul, 2008. "The projection dynamic and the replicator dynamic," Games and Economic Behavior, Elsevier, vol. 64(2), pages 666-683, November.
    46. Sofia B. S. D. Castro & João Correia-da-Silva & José M. Gaspar, 2022. "Economic geography meets Hotelling: the home-sweet-home effect," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(1), pages 183-209, February.
    47. Ratul Lahkar, 2013. "Evolution in Bayesian Supermodular Population Games," Studies in Microeconomics, , vol. 1(1), pages 59-80, June.
    48. Wei, Fangfang & Jia, Ning & Ma, Shoufeng, 2016. "Day-to-day traffic dynamics considering social interaction: From individual route choice behavior to a network flow model," Transportation Research Part B: Methodological, Elsevier, vol. 94(C), pages 335-354.
    49. Jakub Bielawski & Thiparat Chotibut & Fryderyk Falniowski & Michal Misiurewicz & Georgios Piliouras, 2022. "Unpredictable dynamics in congestion games: memory loss can prevent chaos," Papers 2201.10992, arXiv.org, revised Jan 2022.
    50. Jonathan Newton, 2018. "Evolutionary Game Theory: A Renaissance," Games, MDPI, vol. 9(2), pages 1-67, May.
    51. Sandholm, William H., 2015. "Population Games and Deterministic Evolutionary Dynamics," Handbook of Game Theory with Economic Applications,, Elsevier.
    52. Lahkar, Ratul & Riedel, Frank, 2015. "The logit dynamic for games with continuous strategy sets," Games and Economic Behavior, Elsevier, vol. 91(C), pages 268-282.
    53. Jan-Dirk Schmöcker & Tsuyoshi Hatori & David Watling, 2014. "Dynamic process model of mass effects on travel demand," Transportation, Springer, vol. 41(2), pages 279-304, March.
    54. Ratul Lahkar & Sayan Mukherjee & Souvik Roy, 2022. "A Deterministic Approximation Approach to the Continuum Logit Dynamic with an Application to Supermodular Games," Working Papers 79, Ashoka University, Department of Economics.

  16. Daisuke Oyama & Satoru Takahashi & Josef Hofbauer, 2003. "Monotone Methods for Equilibrium Selection under Perfect Foresight Dynamics," Levine's Bibliography 666156000000000420, UCLA Department of Economics.

    Cited by:

    1. Fujishima, Shota, 2013. "Evolutionary implementation of optimal city size distributions," Regional Science and Urban Economics, Elsevier, vol. 43(2), pages 404-410.
    2. Honda, Jun, 2015. "Games with the Total Bandwagon Property," Department of Economics Working Paper Series 197, WU Vienna University of Economics and Business.
    3. Daisuke Oyama & Olivier Tercieux, 2009. "Iterated potential and robustness of equilibria," Post-Print halshs-00754349, HAL.
    4. Oyama Daisuke & William H. Sandholm & Olivier Tercieux, 2015. "Sampling best response dynamics and deterministic equilibrium selection," PSE-Ecole d'économie de Paris (Postprint) halshs-01157537, HAL.
    5. Takashi Kamihigashi, 2023. "The 2022 Japanese Economic Association Nakahara prize recipient: Professor Satoru Takahashi, National University of Singapore," The Japanese Economic Review, Springer, vol. 74(3), pages 355-356, July.
    6. Daijiro Okada & Olivier Tercieux, 2012. "Log-linear dynamics and local potential," Post-Print halshs-00754591, HAL.
    7. Hiroshi Uno, 2007. "Nested Potential Games," Economics Bulletin, AccessEcon, vol. 3(19), pages 1-8.
    8. , & , & , & ,, 2014. "Asynchronicity and coordination in common and opposing interest games," Theoretical Economics, Econometric Society, vol. 9(2), May.
    9. Oyama, Daisuke, 2006. "History versus Expectations in Economic Geography Reconsidered," MPRA Paper 9287, University Library of Munich, Germany.
    10. Daisuke Oyama & Satoru Takahashi, 2009. "Monotone and local potential maximizers in symmetric 3x3 supermodular games," Economics Bulletin, AccessEcon, vol. 29(3), pages 2123-2135.
    11. Bernardo Guimaraes & Caio Machado & Ana Elisa Pereira, 2017. "Dynamic Coordination with Timing Frictions: Theory and Applications," Documentos de Trabajo 502, Instituto de Economia. Pontificia Universidad Católica de Chile..
    12. Stephen Morris & Daisuke Oyama & Satoru Takahashi, 2023. "Strict robustness to incomplete information," The Japanese Economic Review, Springer, vol. 74(3), pages 357-376, July.
    13. Morris, Stephen, 2014. "Coordination, timing and common knowledge," Research in Economics, Elsevier, vol. 68(4), pages 306-314.
    14. Lester T. Chan, 2021. "Divide and conquer in two‐sided markets: A potential‐game approach," RAND Journal of Economics, RAND Corporation, vol. 52(4), pages 839-858, December.
    15. Iijima, Ryota, 2015. "Iterated generalized half-dominance and global game selection," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 120-136.
    16. Takahashi, Satoru, 2008. "The number of pure Nash equilibria in a random game with nondecreasing best responses," Games and Economic Behavior, Elsevier, vol. 63(1), pages 328-340, May.
    17. Oyama, Daisuke, 2009. "Agglomeration under forward-looking expectations: Potentials and global stability," Regional Science and Urban Economics, Elsevier, vol. 39(6), pages 696-713, November.
    18. J. Durieu & P. Solal & O. Tercieux, 2011. "Adaptive learning and p-best response sets," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(4), pages 735-747, November.
    19. Matsui, Akihiko & Oyama, Daisuke, 2006. "Rationalizable foresight dynamics," Games and Economic Behavior, Elsevier, vol. 56(2), pages 299-322, August.
    20. Olivier Tercieux, 2006. "p-Best response set," Post-Print halshs-00754120, HAL.
    21. Candogan, Ozan & Ozdaglar, Asuman & Parrilo, Pablo A., 2013. "Dynamics in near-potential games," Games and Economic Behavior, Elsevier, vol. 82(C), pages 66-90.
    22. Fuhito Kojima & Satoru Takahashi, 2007. "Anti-Coordination Games And Dynamic Stability," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(04), pages 667-688.
    23. Daisuke Oyama & Satoru Takahashi & Josef Hofbauer, 2011. "Perfect foresight dynamics in binary supermodular games," International Journal of Economic Theory, The International Society for Economic Theory, vol. 7(3), pages 251-267, September.
    24. Honda, Jun, 2011. "Noise-independent selection in global games and monotone potential maximizer: A symmetric 3×3 example," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 663-669.
    25. David Jimenez-Gomez, 2021. "Social Pressure in Networks Induces Public Good Provision," Games, MDPI, vol. 12(1), pages 1-17, January.
    26. Daisuke Oyama & Satoru Takahashi, 2020. "Generalized Belief Operator and Robustness in Binary‐Action Supermodular Games," Econometrica, Econometric Society, vol. 88(2), pages 693-726, March.
    27. Oyama, Daisuke & Takahashi, Satoru, 2015. "Contagion and uninvadability in local interaction games: The bilingual game and general supermodular games," Journal of Economic Theory, Elsevier, vol. 157(C), pages 100-127.

  17. Michel Benaïm & Josef Hofbauer & Sylvain Sorin, 2003. "Stochastic Approximations and Differential Inclusions," Working Papers hal-00242990, HAL.

    Cited by:

    1. Andriy Zapechelnyuk, 2009. "Limit Behavior of No-regret Dynamics," Discussion Papers 21, Kyiv School of Economics.
    2. Timothy N. Cason & Daniel Friedman & Ed Hopkins, 2010. "Testing the TASP: An Experimental Investigation of Learning in Games with Unstable Equilibria," Purdue University Economics Working Papers 1233, Purdue University, Department of Economics.
    3. Michel Benaim & Josef Hofbauer & Ed Hopkins, 2006. "Learning in Games with Unstable Equilibria," Levine's Bibliography 321307000000000547, UCLA Department of Economics.
    4. Michel Benaïm & Josef Hofbauer & Sylvain Sorin, 2005. "Stochastic Approximations and Differential Inclusions; Part II: Applications," Working Papers hal-00242974, HAL.
    5. Balkenborg, Dieter & Hofbauer, Josef & Kuzmics, Christoph, 2016. "Refined best reply correspondence and dynamics," Center for Mathematical Economics Working Papers 451, Center for Mathematical Economics, Bielefeld University.
    6. Dieter Balkenborg & Josef Hofbauer & Christoph Kuzmics, 2008. "Refined best-response correspondence and dynamics," Discussion Papers 0806, University of Exeter, Department of Economics.
    7. Perkins, S. & Leslie, D.S., 2014. "Stochastic fictitious play with continuous action sets," Journal of Economic Theory, Elsevier, vol. 152(C), pages 179-213.
    8. Josef Hofbauer & Sylvain Sorin & Yannick Viossat, 2009. "Time Average Replicator and Best Reply Dynamics," Post-Print hal-00360767, HAL.
    9. Russell Golman, 2011. "Why learning doesn’t add up: equilibrium selection with a composition of learning rules," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(4), pages 719-733, November.
    10. Ziv Gorodeisky, 2008. "Stochastic Approximation of Discontinuous Dynamics," Discussion Paper Series dp496, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    11. Michel Benaim & Olivier Raimond, 2007. "Simulated Annealing, Vertex-Reinforced Random Walks and Learning in Games," Levine's Bibliography 122247000000001702, UCLA Department of Economics.

  18. Hofbauer,J. & Sandholm,W.H., 2001. "Evolution and learning in games with randomly disturbed payoffs," Working papers 5, Wisconsin Madison - Social Systems.

    Cited by:

    1. William H. Sandholm, 2005. "Negative Externalities and Evolutionary Implementation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(3), pages 885-915.
    2. Jeffery C. Ely & William H. Sandholm, 2001. "Evolution with Diverse Preferences," Discussion Papers 1317, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    3. Sandholm, William H., 2007. "Pigouvian pricing and stochastic evolutionary implementation," Journal of Economic Theory, Elsevier, vol. 132(1), pages 367-382, January.
    4. Mattsson, Lars-Goran & Weibull, Jorgen W., 2002. "Probabilistic choice and procedurally bounded rationality," Games and Economic Behavior, Elsevier, vol. 41(1), pages 61-78, October.

  19. Josef Hofbauer & Ed Hopkins, 2000. "Learning in Perturbed Asymmetric Games," Edinburgh School of Economics Discussion Paper Series 53, Edinburgh School of Economics, University of Edinburgh.

    Cited by:

    1. Benndorf, Volker & Martínez-Martínez, Ismael, 2017. "Perturbed best response dynamics in a hawk–dove game," Economics Letters, Elsevier, vol. 153(C), pages 61-64.
    2. Willemien Kets, 2007. "The minority game: An economics perspective," Papers 0706.4432, arXiv.org.
    3. Andriy Zapechelnyuk, 2009. "Limit Behavior of No-regret Dynamics," Discussion Papers 21, Kyiv School of Economics.
    4. Hofbauer,J. & Sandholm,W.H., 2003. "Evolution in games with randomly disturbed payoffs," Working papers 20, Wisconsin Madison - Social Systems.
    5. Michel Benaim & Josef Hofbauer & Ed Hopkins, 2006. "Learning in Games with Unstable Equilibria," Levine's Bibliography 321307000000000547, UCLA Department of Economics.
    6. Williams, Noah, 2022. "Learning and equilibrium transitions: Stochastic stability in discounted stochastic fictitious play," Journal of Economic Dynamics and Control, Elsevier, vol. 145(C).
    7. Chernov, G. & Susin, I., 2019. "Models of learning in games: An overview," Journal of the New Economic Association, New Economic Association, vol. 44(4), pages 77-125.
    8. Mengel, Friederike, 2012. "Learning across games," Games and Economic Behavior, Elsevier, vol. 74(2), pages 601-619.
    9. Josef Hofbauer & William H. Sandholm, 2001. "Evolution and Learning in Games with Randomly Disturbed Payoffs," Vienna Economics Papers vie0205, University of Vienna, Department of Economics.
    10. Jim Engle-Warnick & Ed Hopkins, 2006. "A Simple Test of Learning Theory," Levine's Bibliography 321307000000000724, UCLA Department of Economics.
    11. Sandholm, William H., 2007. "Evolution in Bayesian games II: Stability of purified equilibria," Journal of Economic Theory, Elsevier, vol. 136(1), pages 641-667, September.
    12. N. Williams, 2002. "Stability and Long Run Equilibrium in Stochastic Fictitious Play," Princeton Economic Theory Working Papers cbeeeb49cc8afc83f125df5a8, David K. Levine.
    13. Joseph M. Abdou & Nikolaos Pnevmatikos & Marco Scarsini, 2017. "Uniformity and games decomposition," Post-Print halshs-01147442, HAL.
    14. Ed Hopkins, 2000. "Two Competing Models of How People Learn in Games," Edinburgh School of Economics Discussion Paper Series 51, Edinburgh School of Economics, University of Edinburgh.
    15. Golman, Russell, 2012. "Homogeneity bias in models of discrete choice with bounded rationality," Journal of Economic Behavior & Organization, Elsevier, vol. 82(1), pages 1-11.
    16. Takahashi, Satoru & Fudenberg, Drew, 2011. "Heterogeneous beliefs and local information in stochastic fictitious play," Scholarly Articles 27755310, Harvard University Department of Economics.
    17. Ed Hopkins & Martin Posch, 2003. "Attainability of Boundary Points under Reinforcement Learning," Levine's Working Paper Archive 506439000000000350, David K. Levine.
    18. Marta C. Couto & Saptarshi Pal, 2023. "Introspection Dynamics in Asymmetric Multiplayer Games," Dynamic Games and Applications, Springer, vol. 13(4), pages 1256-1285, December.
    19. Perkins, S. & Leslie, D.S., 2014. "Stochastic fictitious play with continuous action sets," Journal of Economic Theory, Elsevier, vol. 152(C), pages 179-213.
    20. Lahkar, Ratul & Mukherjee, Sayan & Roy, Souvik, 2022. "Generalized perturbed best response dynamics with a continuum of strategies," Journal of Economic Theory, Elsevier, vol. 200(C).
    21. RatulLahkar & Sayan Mukherjee & Souvik Roy, 2021. "Generalized Perturbed Best Response Dynamics with a Continuum of Strategies," Working Papers 51, Ashoka University, Department of Economics.
    22. Häfner, Samuel, 2018. "Stable biased sampling," Games and Economic Behavior, Elsevier, vol. 107(C), pages 109-122.
    23. Kets, W. & Voorneveld, M., 2007. "Congestion, Equilibrium and Learning : The Minority Game," Other publications TiSEM 49539a1f-2921-4dd9-83a0-4, Tilburg University, School of Economics and Management.
    24. Kets, W., 2008. "Networks and learning in game theory," Other publications TiSEM 7713fce1-3131-498c-8c6f-3, Tilburg University, School of Economics and Management.
    25. Friedman, Daniel & Zhao, Shuchen, 2021. "When are mixed equilibria relevant?," Journal of Economic Behavior & Organization, Elsevier, vol. 191(C), pages 51-65.
    26. Dai, Darong, 2012. "Learning Nash Equilibria," MPRA Paper 40040, University Library of Munich, Germany.
    27. Ratul, Lahkar, 2011. "The dynamic instability of dispersed price equilibria," Journal of Economic Theory, Elsevier, vol. 146(5), pages 1796-1827, September.
    28. Naoki Funai, 2019. "Convergence results on stochastic adaptive learning," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(4), pages 907-934, November.
    29. John Duffy & Ed Hopkins, 2001. "Learning, Information and Sorting in Market Entry Games: Theory and Evidence," Edinburgh School of Economics Discussion Paper Series 78, Edinburgh School of Economics, University of Edinburgh.
    30. Xing Gao & Weijun Zhong & Shue Mei, 2013. "Stochastic Evolutionary Game Dynamics and Their Selection Mechanisms," Computational Economics, Springer;Society for Computational Economics, vol. 41(2), pages 233-247, February.
    31. Ger Yang & David Basanta & Georgios Piliouras, 2018. "Bifurcation Mechanism Design—From Optimal Flat Taxes to Better Cancer Treatments," Games, MDPI, vol. 9(2), pages 1-38, April.
    32. Leslie, David S. & Collins, E.J., 2006. "Generalised weakened fictitious play," Games and Economic Behavior, Elsevier, vol. 56(2), pages 285-298, August.
    33. Keyzer, Michiel & van Wesenbeeck, Lia, 2005. "Equilibrium selection in games: the mollifier method," Journal of Mathematical Economics, Elsevier, vol. 41(3), pages 285-301, April.
    34. Russell, Golman, 2011. "Quantal response equilibria with heterogeneous agents," Journal of Economic Theory, Elsevier, vol. 146(5), pages 2013-2028, September.
    35. Hoffmann, Eric, 2016. "On the learning and stability of mixed strategy Nash equilibria in games of strategic substitutes," Journal of Economic Behavior & Organization, Elsevier, vol. 130(C), pages 349-362.
    36. Benndorf, Volker & Martínez-Martínez, Ismael & Normann, Hans-Theo, 2021. "Games with coupled populations: An experiment in continuous time," Journal of Economic Theory, Elsevier, vol. 195(C).
    37. Ratul Lahkar & Sayan Mukherjee & Souvik Roy, 2022. "A Deterministic Approximation Approach to the Continuum Logit Dynamic with an Application to Supermodular Games," Working Papers 79, Ashoka University, Department of Economics.

  20. Josef HOFBAUER & Gerhard SORGER, 1998. "Perfect Foresight and Equilibrium Selection in Symmetric Potential Games," Vienna Economics Papers vie9802, University of Vienna, Department of Economics.

    Cited by:

    1. Fujishima, Shota, 2013. "Evolutionary implementation of optimal city size distributions," Regional Science and Urban Economics, Elsevier, vol. 43(2), pages 404-410.
    2. Philippe Jehiel & Laurent Lamy, 2017. "On the benefits of set-asides," PSE Working Papers halshs-01557657, HAL.
    3. Daisuke Oyama & Satoru Takahashi & Josef Hofbauer, 2003. "Monotone Methods for Equilibrium Selection under Perfect Foresight Dynamics," Levine's Bibliography 666156000000000420, UCLA Department of Economics.
    4. Daisuke Oyama & Olivier Tercieux, 2009. "Iterated potential and robustness of equilibria," Post-Print halshs-00754349, HAL.
    5. Kojima, Fuhito, 2006. "Risk-dominance and perfect foresight dynamics in N-player games," Journal of Economic Theory, Elsevier, vol. 128(1), pages 255-273, May.
    6. Stephen Morris & Takashi Ui, 2003. "Generalized Potentials and Robust Sets of Equilibria," Cowles Foundation Discussion Papers 1394, Cowles Foundation for Research in Economics, Yale University.
    7. Alós-Ferrer, Carlos & Netzer, Nick, 2010. "The logit-response dynamics," Games and Economic Behavior, Elsevier, vol. 68(2), pages 413-427, March.
    8. Guimaraes, Bernardo & Jardanovski, Gabriel, 2021. "Who matters in dynamic coordination problems?," Textos para discussão 543, FGV EESP - Escola de Economia de São Paulo, Fundação Getulio Vargas (Brazil).
    9. Hiroshi Uno, 2007. "Nested Potential Games," Economics Bulletin, AccessEcon, vol. 3(19), pages 1-8.
    10. , & , P., 2014. "Refinements of Nash equilibrium in potential games," Theoretical Economics, Econometric Society, vol. 9(3), September.
    11. Kojima, Fuhito & Takahashi, Satoru, 2008. "p-Dominance and perfect foresight dynamics," Journal of Economic Behavior & Organization, Elsevier, vol. 67(3-4), pages 689-701, September.
    12. Oyama, Daisuke, 2006. "History versus Expectations in Economic Geography Reconsidered," MPRA Paper 9287, University Library of Munich, Germany.
    13. Sandholm, William H., 2001. "Potential Games with Continuous Player Sets," Journal of Economic Theory, Elsevier, vol. 97(1), pages 81-108, March.
    14. Boyu Zhang & Josef Hofbauer, 2015. "Equilibrium selection via replicator dynamics in $$2 \times 2$$ 2 × 2 coordination games," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(2), pages 433-448, May.
    15. Daisuke Oyama & Satoru Takahashi, 2009. "Monotone and local potential maximizers in symmetric 3x3 supermodular games," Economics Bulletin, AccessEcon, vol. 29(3), pages 2123-2135.
    16. Bernardo Guimaraes & Caio Machado & Ana Elisa Pereira, 2017. "Dynamic Coordination with Timing Frictions: Theory and Applications," Documentos de Trabajo 502, Instituto de Economia. Pontificia Universidad Católica de Chile..
    17. Stephen Morris & Hyun S Shin, 2001. "Global Games: Theory and Applications," Levine's Working Paper Archive 122247000000001080, David K. Levine.
    18. Lester T. Chan, 2021. "Divide and conquer in two‐sided markets: A potential‐game approach," RAND Journal of Economics, RAND Corporation, vol. 52(4), pages 839-858, December.
    19. Oyama, Daisuke, 2009. "Agglomeration under forward-looking expectations: Potentials and global stability," Regional Science and Urban Economics, Elsevier, vol. 39(6), pages 696-713, November.
    20. Matsui, Akihiko & Oyama, Daisuke, 2006. "Rationalizable foresight dynamics," Games and Economic Behavior, Elsevier, vol. 56(2), pages 299-322, August.
    21. Jun Honda, 2018. "Games with the total bandwagon property meet the Quint–Shubik conjecture," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(3), pages 893-912, September.
    22. Yusuke Hino, 2011. "An improved algorithm for detecting potential games," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(1), pages 199-205, February.
    23. Oyama, Daisuke, 2002. "p-Dominance and Equilibrium Selection under Perfect Foresight Dynamics," Journal of Economic Theory, Elsevier, vol. 107(2), pages 288-310, December.
    24. Benndorf, Volker & Martínez-Martínez, Ismael & Normann, Hans-Theo, 2021. "Games with coupled populations: An experiment in continuous time," Journal of Economic Theory, Elsevier, vol. 195(C).
    25. Staudigl, Mathias, 2012. "Stochastic stability in asymmetric binary choice coordination games," Games and Economic Behavior, Elsevier, vol. 75(1), pages 372-401.
    26. Daisuke Oyama & Satoru Takahashi & Josef Hofbauer, 2011. "Perfect foresight dynamics in binary supermodular games," International Journal of Economic Theory, The International Society for Economic Theory, vol. 7(3), pages 251-267, September.
    27. Honda, Jun, 2011. "Noise-independent selection in global games and monotone potential maximizer: A symmetric 3×3 example," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 663-669.
    28. Argyrios Deligkas & Eduard Eiben & Gregory Gutin & Philip R. Neary & Anders Yeo, 2023. "Some coordination problems are harder than others," Papers 2311.03195, arXiv.org, revised Nov 2023.
    29. Takaaki Abe & Satoshi Nakada, 2018. "Generalized Potentials, Value, and Core," Discussion Paper Series DP2018-19, Research Institute for Economics & Business Administration, Kobe University.

Articles

  1. Josef Hofbauer, 2018. "Minmax via Replicator Dynamics," Dynamic Games and Applications, Springer, vol. 8(3), pages 637-640, September.

    Cited by:

    1. Mansoor Saburov, 2022. "On Discrete-Time Replicator Equations with Nonlinear Payoff Functions," Dynamic Games and Applications, Springer, vol. 12(2), pages 643-661, June.
    2. Qiang Wang & Linjie Liu & Xiaojie Chen, 2020. "Evolutionary Dynamics of Cooperation in the Public Goods Game with Individual Disguise and Peer Punishment," Dynamic Games and Applications, Springer, vol. 10(3), pages 764-782, September.

  2. Zhang, Boyu & Hofbauer, Josef, 2016. "Quantal response methods for equilibrium selection in 2×2 coordination games," Games and Economic Behavior, Elsevier, vol. 97(C), pages 19-31.

    Cited by:

    1. Kendall, Ryan, 2021. "Sequential competitions with a middle-mover advantage," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 91(C).
    2. Friedel Bolle & Jörg Spiller, 2021. "Cooperation against all predictions," Economic Inquiry, Western Economic Association International, vol. 59(3), pages 904-924, July.
    3. Dharshana Kasthurirathna & Prasan Ratnayake & Mahendra Piraveenan, 2022. "Disassortative Mixing and Systemic Rational Behaviour: How System Rationality Is Influenced by Topology and Placement in Networked Systems," Mathematics, MDPI, vol. 10(18), pages 1-17, September.
    4. Qiang Wang & Linjie Liu & Xiaojie Chen, 2020. "Evolutionary Dynamics of Cooperation in the Public Goods Game with Individual Disguise and Peer Punishment," Dynamic Games and Applications, Springer, vol. 10(3), pages 764-782, September.
    5. Sawa, Ryoji, 2021. "A stochastic stability analysis with observation errors in normal form games," Games and Economic Behavior, Elsevier, vol. 129(C), pages 570-589.
    6. Rodrigo A. Velez & Alexander L. Brown, 2018. "Empirical Equilibrium," Papers 1804.07986, arXiv.org, revised Jul 2020.
    7. Emerson Melo, 2022. "On the uniqueness of quantal response equilibria and its application to network games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(3), pages 681-725, October.
    8. Zhang, Boyu, 2016. "Quantal response methods for equilibrium selection in normal form games," Journal of Mathematical Economics, Elsevier, vol. 64(C), pages 113-123.
    9. Ryoji Sawa, 2022. "Statistical Inference in Evolutionary Dynamics," Working Papers e170, Tokyo Center for Economic Research.
    10. Cao, Yiyin & Dang, Chuangyin, 2022. "A variant of Harsanyi's tracing procedures to select a perfect equilibrium in normal form games," Games and Economic Behavior, Elsevier, vol. 134(C), pages 127-150.

  3. Boyu Zhang & Josef Hofbauer, 2015. "Equilibrium selection via replicator dynamics in $$2 \times 2$$ 2 × 2 coordination games," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(2), pages 433-448, May.

    Cited by:

    1. Zhang, Boyu & Hofbauer, Josef, 2016. "Quantal response methods for equilibrium selection in 2×2 coordination games," Games and Economic Behavior, Elsevier, vol. 97(C), pages 19-31.
    2. Sofia B. S. D. Castro, 2018. "Learning by replicator and best-response: the importance of being indifferent," Journal of Evolutionary Economics, Springer, vol. 28(4), pages 985-999, September.
    3. Zhang, Boyu, 2016. "Quantal response methods for equilibrium selection in normal form games," Journal of Mathematical Economics, Elsevier, vol. 64(C), pages 113-123.
    4. Benndorf, Volker & Martínez-Martínez, Ismael & Normann, Hans-Theo, 2021. "Games with coupled populations: An experiment in continuous time," Journal of Economic Theory, Elsevier, vol. 195(C).
    5. Rongwu Lu & Xinhua Wang & Hao Yu & Dan Li, 2018. "Multiparty Evolutionary Game Model in Coal Mine Safety Management and Its Application," Complexity, Hindawi, vol. 2018, pages 1-10, March.

  4. Dieter Balkenborg & Josef Hofbauer & Christoph Kuzmics, 2015. "The refined best-response correspondence in normal form games," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(1), pages 165-193, February.
    See citations under working paper version above.
  5. Josef Hofbauer & Simon M. Huttegger, 2015. "Selection-Mutation Dynamics of Signaling Games," Games, MDPI, vol. 6(1), pages 1-30, January.

    Cited by:

    1. Simon M. Huttegger & Kevin J. S. Zollman, 2016. "The Robustness of Hybrid Equilibria in Costly Signaling Games," Dynamic Games and Applications, Springer, vol. 6(3), pages 347-358, September.
    2. Seigo Uchida, 2019. "Efficiency and stability in sender-receiver games under the selection-mutation dynamics," Working Papers e132, Tokyo Center for Economic Research.
    3. Seigo Uchida & Masakazu Fukuzumi, 2017. "The dynamical stability for an evolutionary language game under selection-mutation dynamics," Working Papers e115, Tokyo Center for Economic Research.

  6. Balkenborg, Dieter G. & Hofbauer, Josef & Kuzmics, Christoph, 2013. "Refined best-response correspondence and dynamics," Theoretical Economics, Econometric Society, vol. 8(1), January.
    See citations under working paper version above.
  7. Michel Benaïm & Josef Hofbauer & Sylvain Sorin, 2012. "Perturbations of Set-Valued Dynamical Systems, with Applications to Game Theory," Dynamic Games and Applications, Springer, vol. 2(2), pages 195-205, June.

    Cited by:

    1. José Pedro Gaivão & Telmo Peixe, 2019. "Periodic attractor in the discrete time best-response dynamics of the rock-paper-scissors game," Working Papers REM 2019/0108, ISEG - Lisbon School of Economics and Management, REM, Universidade de Lisboa.
    2. Jason Milionis & Christos Papadimitriou & Georgios Piliouras & Kelly Spendlove, 2022. "Nash, Conley, and Computation: Impossibility and Incompleteness in Game Dynamics," Papers 2203.14129, arXiv.org.
    3. Mansoor Saburov, 2022. "On Discrete-Time Replicator Equations with Nonlinear Payoff Functions," Dynamic Games and Applications, Springer, vol. 12(2), pages 643-661, June.
    4. Jos'e Pedro Gaiv~ao & Telmo Peixe, 2019. "Periodic attractor in the discrete time best-response dynamics of the Rock-Paper-Scissors game," Papers 1912.06831, arXiv.org.
    5. Francesco Caruso & Maria Carmela Ceparano & Jacqueline Morgan, 2020. "Best response algorithms in ratio-bounded games: convergence of affine relaxations to Nash equilibria," CSEF Working Papers 593, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    6. Sylvain Sorin, 2023. "Continuous Time Learning Algorithms in Optimization and Game Theory," Dynamic Games and Applications, Springer, vol. 13(1), pages 3-24, March.
    7. Arunselvan Ramaswamy & Shalabh Bhatnagar, 2017. "A Generalization of the Borkar-Meyn Theorem for Stochastic Recursive Inclusions," Mathematics of Operations Research, INFORMS, vol. 42(3), pages 648-661, August.
    8. José Pedro Gaivão & Telmo Peixe, 2021. "Periodic Attractor in the Discrete Time Best-Response Dynamics of the Rock-Paper-Scissors Game," Dynamic Games and Applications, Springer, vol. 11(3), pages 491-511, September.

  8. , & , H., 2011. "Survival of dominated strategies under evolutionary dynamics," Theoretical Economics, Econometric Society, vol. 6(3), September.

    Cited by:

    1. Hedlund, Jonas & Oyarzun, Carlos, 2016. "Imitation in Heterogeneous Populations," Working Papers 0625, University of Heidelberg, Department of Economics.
    2. Lindgren, Kristian & Verendel, Vilhelm, 2013. "Evolutionary Exploration of the Finitely Repeated Prisoners' Dilemma--The Effect of Out-of-Equilibrium Play," MPRA Paper 43662, University Library of Munich, Germany.
    3. Yannick Viossat, 2015. "Evolutionary dynamics and dominated strategies," Post-Print hal-01253535, HAL.
    4. Oyama Daisuke & William H. Sandholm & Olivier Tercieux, 2015. "Sampling best response dynamics and deterministic equilibrium selection," PSE-Ecole d'économie de Paris (Postprint) halshs-01157537, HAL.
    5. Kristian Lindgren & Vilhelm Verendel, 2013. "Evolutionary Exploration of the Finitely Repeated Prisoners’ Dilemma—The Effect of Out-of-Equilibrium Play," Games, MDPI, vol. 4(1), pages 1-20, January.
    6. Itai Arieli & H Peyton Young, 2011. "Stochastic Learning Dynamics and Speed of Convergence in Population Games," Economics Series Working Papers 570, University of Oxford, Department of Economics.
    7. Pandey, Ayush & Lehe, Lewis J., 2024. "Congestive mode-switching and economies of scale on a bus route," Transportation Research Part B: Methodological, Elsevier, vol. 183(C).
    8. George Loginov, 2022. "Ordinal imitative dynamics," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(2), pages 391-412, June.
    9. Segismundo S. Izquierdo & Luis R. Izquierdo, 2011. "Strictly Dominated Strategies in the Replicator-Mutator Dynamics," Games, MDPI, vol. 2(3), pages 1-10, September.
    10. Sawa, Ryoji & Zusai, Dai, 2019. "Evolutionary dynamics in multitasking environments," Journal of Economic Behavior & Organization, Elsevier, vol. 166(C), pages 288-308.
    11. Michel Benaïm & Josef Hofbauer & Sylvain Sorin, 2012. "Perturbations of Set-Valued Dynamical Systems, with Applications to Game Theory," Dynamic Games and Applications, Springer, vol. 2(2), pages 195-205, June.
    12. Laraki, Rida & Mertikopoulos, Panayotis, 2013. "Higher order game dynamics," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2666-2695.
    13. Sandholm, William H. & Izquierdo, Segismundo S. & Izquierdo, Luis R., 2020. "Stability for best experienced payoff dynamics," Journal of Economic Theory, Elsevier, vol. 185(C).
    14. Zhang, Boyu, 2016. "Quantal response methods for equilibrium selection in normal form games," Journal of Mathematical Economics, Elsevier, vol. 64(C), pages 113-123.
    15. Wolfgang Kuhle, 2016. "An Equilibrium Model with Computationally Constrained Agents," Papers 1611.01771, arXiv.org.
    16. Bernergård, Axel & Mohlin, Erik, 2017. "Evolutionary Selection against Iteratively Weakly Dominated Strategies," Working Papers 2017:18, Lund University, Department of Economics, revised 12 Nov 2018.
    17. Wang Yijia & Wang Zhijian, 2023. "Pulse in collapse: a game dynamics experiment," Papers 2302.09336, arXiv.org.

  9. Daisuke Oyama & Satoru Takahashi & Josef Hofbauer, 2011. "Perfect foresight dynamics in binary supermodular games," International Journal of Economic Theory, The International Society for Economic Theory, vol. 7(3), pages 251-267, September.

    Cited by:

    1. Maruta, Toshimasa & Okada, Akira, 2012. "Stochastically stable equilibria in n-person binary coordination games," Mathematical Social Sciences, Elsevier, vol. 63(1), pages 31-42.
    2. Daisuke Oyama & Satoru Takahashi, 2009. "Monotone and local potential maximizers in symmetric 3x3 supermodular games," Economics Bulletin, AccessEcon, vol. 29(3), pages 2123-2135.
    3. David Jimenez-Gomez, 2021. "Social Pressure in Networks Induces Public Good Provision," Games, MDPI, vol. 12(1), pages 1-17, January.
    4. Daisuke Oyama & Satoru Takahashi, 2020. "Generalized Belief Operator and Robustness in Binary‐Action Supermodular Games," Econometrica, Econometric Society, vol. 88(2), pages 693-726, March.

  10. Benaïm, Michel & Hofbauer, Josef & Hopkins, Ed, 2009. "Learning in games with unstable equilibria," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1694-1709, July.
    See citations under working paper version above.
  11. Hofbauer, Josef & Oechssler, Jörg & Riedel, Frank, 2009. "Brown-von Neumann-Nash dynamics: The continuous strategy case," Games and Economic Behavior, Elsevier, vol. 65(2), pages 406-429, March.
    See citations under working paper version above.
  12. Hofbauer, Josef & Sandholm, William H., 2009. "Stable games and their dynamics," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1665-1693.4, July.

    Cited by:

    1. Christian Ewerhart, 2020. "Ordinal potentials in smooth games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(4), pages 1069-1100, November.
    2. Mertikopoulos, Panayotis & Sandholm, William H., 2018. "Riemannian game dynamics," Journal of Economic Theory, Elsevier, vol. 177(C), pages 315-364.
    3. Zhang, Hanzhe & Wu, Jiabin, 2020. "Polarization, Antipathy, and Political Activism," Working Papers 2020-11, Michigan State University, Department of Economics.
    4. Michael J. Fox & Jeff S. Shamma, 2013. "Population Games, Stable Games, and Passivity," Games, MDPI, vol. 4(4), pages 1-23, October.
    5. Viossat, Yannick & Zapechelnyuk, Andriy, 2013. "No-regret dynamics and fictitious play," Journal of Economic Theory, Elsevier, vol. 148(2), pages 825-842.
    6. Yuval Heller & Erik Mohlin, 2020. "Coevolution of deception and preferences: Darwin and Nash meet Machiavelli," Papers 2006.15308, arXiv.org.
    7. Reinoud Joosten & Berend Roorda, 2011. "On evolutionary ray-projection dynamics," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 74(2), pages 147-161, October.
    8. Iryo, Takamasa, 2016. "Day-to-day dynamical model incorporating an explicit description of individuals’ information collection behaviour," Transportation Research Part B: Methodological, Elsevier, vol. 92(PA), pages 88-103.
    9. TABUCHI, Takatoshi & THISSE, Jacques-François, 2011. "A new economic geography model of central places," LIDAM Reprints CORE 2267, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    10. D’Agata, Antonio, 2022. "Walrasian equilibrium without homogeneity and Walras’ Law," Mathematical Social Sciences, Elsevier, vol. 119(C), pages 68-75.
    11. Fabio Lamantia & Anghel Negriu & Jan Tuinstra, 2018. "Technology choice in an evolutionary oligopoly game," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 41(2), pages 335-356, November.
    12. Mansoor Saburov, 2022. "On Discrete-Time Replicator Equations with Nonlinear Payoff Functions," Dynamic Games and Applications, Springer, vol. 12(2), pages 643-661, June.
    13. Sylvain Sorin & Cheng Wan, 2016. "Finite composite games: Equilibria and dynamics," Post-Print hal-02885860, HAL.
    14. Manxi Wu & Saurabh Amin & Asuman Ozdaglar, 2021. "Multi-agent Bayesian Learning with Best Response Dynamics: Convergence and Stability," Papers 2109.00719, arXiv.org.
    15. Pietro Dindo & Jan Tuinstra, 2011. "A Class of Evolutionary Models for Participation Games with Negative Feedback," Computational Economics, Springer;Society for Computational Economics, vol. 37(3), pages 267-300, March.
    16. Lahkar, Ratul & Mukherjee, Sayan & Roy, Souvik, 2022. "Generalized perturbed best response dynamics with a continuum of strategies," Journal of Economic Theory, Elsevier, vol. 200(C).
    17. Boitier, Vincent & Auvray, Emmanuel, 2021. "Schelling paradox in a system of cities," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 68-88.
    18. Oyama, Daisuke, 2009. "Agglomeration under forward-looking expectations: Potentials and global stability," Regional Science and Urban Economics, Elsevier, vol. 39(6), pages 696-713, November.
    19. William Sandholm, 2014. "Probabilistic Interpretations of Integrability for Game Dynamics," Dynamic Games and Applications, Springer, vol. 4(1), pages 95-106, March.
    20. Lamantia, F. & Negriu, A. & Tuinstra, J., 2016. "Evolutionary Cournot competition with endogenous technology choice: (in)stability and optimal policy," CeNDEF Working Papers 16-08, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    21. Leslie, David S. & Perkins, Steven & Xu, Zibo, 2020. "Best-response dynamics in zero-sum stochastic games," Journal of Economic Theory, Elsevier, vol. 189(C).
    22. RatulLahkar & Sayan Mukherjee & Souvik Roy, 2021. "Generalized Perturbed Best Response Dynamics with a Continuum of Strategies," Working Papers 51, Ashoka University, Department of Economics.
    23. Sung-Ha Hwang & Luc Rey-Bellet, 2011. "Decompositions of two player games: potential, zero-sum, and stable games," Working Papers 1116, Nam Duck-Woo Economic Research Institute, Sogang University (Former Research Institute for Market Economy).
    24. Ulrich Berger, 2012. "Non-algebraic Convergence Proofs for Continuous-Time Fictitious Play," Dynamic Games and Applications, Springer, vol. 2(1), pages 4-17, March.
    25. Sawa, Ryoji & Wu, Jiabin, 2023. "Statistical inference in evolutionary dynamics," Games and Economic Behavior, Elsevier, vol. 137(C), pages 294-316.
    26. Dai Zusai, 2020. "On forward invariance in Lyapunov stability theorem for local stability," Papers 2006.04280, arXiv.org.
    27. Reinoud Joosten, 2009. "Paul Samuelson's critique and equilibrium concepts in evolutionary game theory," Papers on Economics and Evolution 2009-16, Philipps University Marburg, Department of Geography.
    28. Cheung, Man-Wah, 2014. "Pairwise comparison dynamics for games with continuous strategy space," Journal of Economic Theory, Elsevier, vol. 153(C), pages 344-375.
    29. Cheung, Man-Wah & Lahkar, Ratul, 2018. "Nonatomic potential games: the continuous strategy case," Games and Economic Behavior, Elsevier, vol. 108(C), pages 341-362.
    30. Sawa, Ryoji & Zusai, Dai, 2019. "Evolutionary dynamics in multitasking environments," Journal of Economic Behavior & Organization, Elsevier, vol. 166(C), pages 288-308.
    31. Ratul, Lahkar, 2011. "The dynamic instability of dispersed price equilibria," Journal of Economic Theory, Elsevier, vol. 146(5), pages 1796-1827, September.
    32. Santiago Guisasola & Donald Saari, 2020. "With Potential Games, Which Outcome Is Better?," Games, MDPI, vol. 11(3), pages 1-20, August.
    33. Ewerhart, Christian & Valkanova, Kremena, 2020. "Fictitious play in networks," Games and Economic Behavior, Elsevier, vol. 123(C), pages 182-206.
    34. Iryo, Takamasa & Smith, Michael J. & Watling, David, 2020. "Stabilisation strategy for unstable transport systems under general evolutionary dynamics," Transportation Research Part B: Methodological, Elsevier, vol. 132(C), pages 136-151.
    35. Dai Zusai, 2018. "Net gains in evolutionary dynamics: A unifying and intuitive approach to dynamic stability," Papers 1805.04898, arXiv.org, revised Oct 2023.
    36. Michel Benaïm & Josef Hofbauer & Sylvain Sorin, 2012. "Perturbations of Set-Valued Dynamical Systems, with Applications to Game Theory," Dynamic Games and Applications, Springer, vol. 2(2), pages 195-205, June.
    37. Izquierdo, Luis R. & Izquierdo, Segismundo S. & Sandholm, William H., 2019. "An introduction to ABED: Agent-based simulation of evolutionary game dynamics," Games and Economic Behavior, Elsevier, vol. 118(C), pages 434-462.
    38. Sylvain Sorin, 2023. "Continuous Time Learning Algorithms in Optimization and Game Theory," Dynamic Games and Applications, Springer, vol. 13(1), pages 3-24, March.
    39. Laraki, Rida & Mertikopoulos, Panayotis, 2013. "Higher order game dynamics," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2666-2695.
    40. Lamotte, Raphaël & Geroliminis, Nikolas, 2021. "Monotonicity in the trip scheduling problem," Transportation Research Part B: Methodological, Elsevier, vol. 146(C), pages 14-25.
    41. Reinoud Joosten & Berend Roorda, 2011. "Attractive evolutionary equilibria," Papers on Economics and Evolution 2011-17, Philipps University Marburg, Department of Geography.
    42. Sandholm, William H. & Izquierdo, Segismundo S. & Izquierdo, Luis R., 2020. "Stability for best experienced payoff dynamics," Journal of Economic Theory, Elsevier, vol. 185(C).
    43. James D. Montgomery, 2010. "Intergenerational Cultural Transmission as an Evolutionary Game," American Economic Journal: Microeconomics, American Economic Association, vol. 2(4), pages 115-136, November.
    44. Lehe, Lewis J. & Pandey, Ayush, 2024. "A bathtub model of transit congestion," Transportation Research Part B: Methodological, Elsevier, vol. 181(C).
    45. Jin, Wen-Long, 2021. "Stable local dynamics for day-to-day departure time choice," Transportation Research Part B: Methodological, Elsevier, vol. 149(C), pages 463-479.
    46. Sawa, Ryoji & Zusai, Dai, 2014. "Evolutionary imitative dynamics with population-varying aspiration levels," Journal of Economic Theory, Elsevier, vol. 154(C), pages 562-577.
    47. Vincent Boitier & Emmanuel Auvray, 2021. "Schelling paradox in a system of cities," Post-Print hal-04204673, HAL.
    48. Sandholm, William H., 2015. "Population Games and Deterministic Evolutionary Dynamics," Handbook of Game Theory with Economic Applications,, Elsevier.
    49. Lahkar, Ratul & Riedel, Frank, 2015. "The logit dynamic for games with continuous strategy sets," Games and Economic Behavior, Elsevier, vol. 91(C), pages 268-282.
    50. Lahkar, Ratul & Seymour, Robert M., 2013. "Reinforcement learning in population games," Games and Economic Behavior, Elsevier, vol. 80(C), pages 10-38.
    51. Jacquot, Paulin & Wan, Cheng, 2022. "Nonatomic aggregative games with infinitely many types," European Journal of Operational Research, Elsevier, vol. 301(3), pages 1149-1165.
    52. Dai Zusai, 2018. "Tempered best response dynamics," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(1), pages 1-34, March.
    53. Hwang, Sung-Ha & Rey-Bellet, Luc, 2020. "Strategic decompositions of normal form games: Zero-sum games and potential games," Games and Economic Behavior, Elsevier, vol. 122(C), pages 370-390.

  13. , & , & ,, 2008. "Monotone methods for equilibrium selection under perfect foresight dynamics," Theoretical Economics, Econometric Society, vol. 3(2), June.
    See citations under working paper version above.
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    Cited by:

    1. Mogens Fosgerau & Julien Monardo & André de Palma, 2024. "The Inverse Product Differentiation Logit Model," American Economic Journal: Microeconomics, American Economic Association, vol. 16(4), pages 329-370, November.
    2. Benndorf, Volker & Martínez-Martínez, Ismael, 2017. "Perturbed best response dynamics in a hawk–dove game," Economics Letters, Elsevier, vol. 153(C), pages 61-64.
    3. Willemien Kets, 2007. "The minority game: An economics perspective," Papers 0706.4432, arXiv.org.
    4. Andriy Zapechelnyuk, 2009. "Limit Behavior of No-regret Dynamics," Discussion Papers 21, Kyiv School of Economics.
    5. Hofbauer,J. & Sandholm,W.H., 2003. "Evolution in games with randomly disturbed payoffs," Working papers 20, Wisconsin Madison - Social Systems.
    6. Akdeniz, Aslıhan & van Veelen, Matthijs, 2023. "Evolution and the ultimatum game," Games and Economic Behavior, Elsevier, vol. 142(C), pages 570-612.
    7. Timothy N. Cason & Daniel Friedman & Ed Hopkins, 2010. "Testing the TASP: An Experimental Investigation of Learning in Games with Unstable Equilibria," Purdue University Economics Working Papers 1233, Purdue University, Department of Economics.
    8. Esponda, Ignacio & Pouzo, Demian & Yamamoto, Yuichi, 2021. "Asymptotic behavior of Bayesian learners with misspecified models," Journal of Economic Theory, Elsevier, vol. 195(C).
    9. Michel Benaim & Josef Hofbauer & Ed Hopkins, 2006. "Learning in Games with Unstable Equilibria," Levine's Bibliography 321307000000000547, UCLA Department of Economics.
    10. Sergiu Hart & Andreu Mas-Colell, 2001. "Regret-Based Continuous-Time Dynamics," Discussion Paper Series dp309, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem, revised Apr 2003.
    11. Zhang, Boyu & Hofbauer, Josef, 2016. "Quantal response methods for equilibrium selection in 2×2 coordination games," Games and Economic Behavior, Elsevier, vol. 97(C), pages 19-31.
    12. Williams, Noah, 2022. "Learning and equilibrium transitions: Stochastic stability in discounted stochastic fictitious play," Journal of Economic Dynamics and Control, Elsevier, vol. 145(C).
    13. Mogens Fosgerau & Dennis Kristensen, 2021. "Identification of a class of index models: A topological approach," The Econometrics Journal, Royal Economic Society, vol. 24(1), pages 121-133.
    14. Daisuke Oyama & Satoru Takahashi & Josef Hofbauer, 2003. "Monotone Methods for Equilibrium Selection under Perfect Foresight Dynamics," Levine's Bibliography 666156000000000420, UCLA Department of Economics.
    15. Tsakas, Elias & Voorneveld, Mark, 2007. "The target projection dynamic," SSE/EFI Working Paper Series in Economics and Finance 670, Stockholm School of Economics, revised 13 Aug 2007.
    16. Olga Gorelkina, 2015. "The Expected Externality Mechanism in a Level-k Environment," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2015_03, Max Planck Institute for Research on Collective Goods.
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    20. Suren Basov & Svetlana Danilkina & David Prentice, 2008. "When does Variety increase with Quality?," Working Papers 2008.04, School of Economics, La Trobe University.
    21. Beggs Alan, 2009. "Learning in Bayesian Games with Binary Actions," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-30, September.
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  18. Josef Hofbauer & Gerhard Sorger, 2002. "A Differential Game Approach To Evolutionary Equilibrium Selection," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 4(01), pages 17-31.

    Cited by:

    1. Daisuke Oyama & Satoru Takahashi & Josef Hofbauer, 2003. "Monotone Methods for Equilibrium Selection under Perfect Foresight Dynamics," Levine's Bibliography 666156000000000420, UCLA Department of Economics.
    2. George Loginov, 2022. "Cyclical behavior of evolutionary dynamics in coordination games with changing payoffs," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(1), pages 1-27, March.
    3. Daisuke Oyama & Olivier Tercieux, 2009. "Iterated potential and robustness of equilibria," Post-Print halshs-00754349, HAL.
    4. Kojima, Fuhito, 2006. "Risk-dominance and perfect foresight dynamics in N-player games," Journal of Economic Theory, Elsevier, vol. 128(1), pages 255-273, May.
    5. Stephen Morris & Takashi Ui, 2003. "Generalized Potentials and Robust Sets of Equilibria," Cowles Foundation Discussion Papers 1394, Cowles Foundation for Research in Economics, Yale University.
    6. Carlos Alós-Ferrer & Nick Netzer, 2015. "Robust stochastic stability," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(1), pages 31-57, January.
    7. Hiroshi Uno, 2007. "Nested Potential Games," Economics Bulletin, AccessEcon, vol. 3(19), pages 1-8.
    8. Kojima, Fuhito & Takahashi, Satoru, 2008. "p-Dominance and perfect foresight dynamics," Journal of Economic Behavior & Organization, Elsevier, vol. 67(3-4), pages 689-701, September.
    9. Oyama, Daisuke, 2006. "History versus Expectations in Economic Geography Reconsidered," MPRA Paper 9287, University Library of Munich, Germany.
    10. Dirk Helbing & Anders Johansson, 2010. "Cooperation, Norms, and Revolutions: A Unified Game-Theoretical Approach," PLOS ONE, Public Library of Science, vol. 5(10), pages 1-15, October.
    11. Daisuke Oyama & Satoru Takahashi, 2009. "Monotone and local potential maximizers in symmetric 3x3 supermodular games," Economics Bulletin, AccessEcon, vol. 29(3), pages 2123-2135.
    12. Lester T. Chan, 2021. "Divide and conquer in two‐sided markets: A potential‐game approach," RAND Journal of Economics, RAND Corporation, vol. 52(4), pages 839-858, December.
    13. Iijima, Ryota, 2015. "Iterated generalized half-dominance and global game selection," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 120-136.
    14. Oyama, Daisuke, 2009. "Agglomeration under forward-looking expectations: Potentials and global stability," Regional Science and Urban Economics, Elsevier, vol. 39(6), pages 696-713, November.
    15. Matsui, Akihiko & Oyama, Daisuke, 2006. "Rationalizable foresight dynamics," Games and Economic Behavior, Elsevier, vol. 56(2), pages 299-322, August.
    16. Cao, Zhigang & Yang, Xiaoguang, 2018. "Symmetric games revisited," Mathematical Social Sciences, Elsevier, vol. 95(C), pages 9-18.
    17. Yusuke Hino, 2011. "An improved algorithm for detecting potential games," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(1), pages 199-205, February.
    18. Oyama, Daisuke, 2002. "p-Dominance and Equilibrium Selection under Perfect Foresight Dynamics," Journal of Economic Theory, Elsevier, vol. 107(2), pages 288-310, December.
    19. Daisuke Oyama & Satoru Takahashi & Josef Hofbauer, 2011. "Perfect foresight dynamics in binary supermodular games," International Journal of Economic Theory, The International Society for Economic Theory, vol. 7(3), pages 251-267, September.
    20. Honda, Jun, 2011. "Noise-independent selection in global games and monotone potential maximizer: A symmetric 3×3 example," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 663-669.
    21. Takaaki Abe & Satoshi Nakada, 2018. "Generalized Potentials, Value, and Core," Discussion Paper Series DP2018-19, Research Institute for Economics & Business Administration, Kobe University.

  19. Josef Hofbauer & Karl H. Schlag, 2000. "Sophisticated imitation in cyclic games," Journal of Evolutionary Economics, Springer, vol. 10(5), pages 523-543.

    Cited by:

    1. Güth, Werner & Kliemt, Hartmut & Peleg, Bezalel, 1998. "Co-evolution of preferences and information in simple games of trust," SFB 373 Discussion Papers 1998,72, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    2. Yannick Viossat, 2015. "Evolutionary dynamics and dominated strategies," Post-Print hal-01253535, HAL.
    3. Enrique Urbano Arellano & Xinyang Wang, 2023. "Social Learning of General Rules," Papers 2310.15861, arXiv.org.
    4. Lipatov, Vilen, 2003. "Evolution of Tax Evasion," MPRA Paper 966, University Library of Munich, Germany, revised 06 Dec 2005.
    5. Martin Posch, 2001. "Win Stay, Lose Shift or Imitatation – Only the Choice of Peers Counts," Vienna Economics Papers vie0109, University of Vienna, Department of Economics.
    6. Balkenborg, Dieter & Schlag, Karl H., 2007. "On the evolutionary selection of sets of Nash equilibria," Journal of Economic Theory, Elsevier, vol. 133(1), pages 295-315, March.
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    11. Alanyali, Murat, 2010. "A note on adjusted replicator dynamics in iterated games," Journal of Mathematical Economics, Elsevier, vol. 46(1), pages 86-98, January.
    12. Karl H. Schlag, 2022. "Social Learning between Groups: Imitation and the Role of Experience," Games, MDPI, vol. 13(5), pages 1-14, September.
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  20. J. Hofbauer, 1999. "The spatially dominant equilibrium of a game," Annals of Operations Research, Springer, vol. 89(0), pages 233-251, January.

    Cited by:

    1. Honda, Jun, 2015. "Games with the Total Bandwagon Property," Department of Economics Working Paper Series 197, WU Vienna University of Economics and Business.
    2. Daisuke Oyama & Satoru Takahashi & Josef Hofbauer, 2003. "Monotone Methods for Equilibrium Selection under Perfect Foresight Dynamics," Levine's Bibliography 666156000000000420, UCLA Department of Economics.
    3. Oyama Daisuke & William H. Sandholm & Olivier Tercieux, 2015. "Sampling best response dynamics and deterministic equilibrium selection," PSE-Ecole d'économie de Paris (Postprint) halshs-01157537, HAL.
    4. Kojima, Fuhito & Takahashi, Satoru, 2008. "p-Dominance and perfect foresight dynamics," Journal of Economic Behavior & Organization, Elsevier, vol. 67(3-4), pages 689-701, September.
    5. Boyu Zhang & Josef Hofbauer, 2015. "Equilibrium selection via replicator dynamics in $$2 \times 2$$ 2 × 2 coordination games," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(2), pages 433-448, May.
    6. Stephen Morris & Hyun S Shin, 2001. "Global Games: Theory and Applications," Levine's Working Paper Archive 122247000000001080, David K. Levine.
    7. Marta Biancardi & Gianluca Iannucci & Giovanni Villani, 2023. "Groundwater management and illegality in a differential-evolutionary framework," Computational Management Science, Springer, vol. 20(1), pages 1-17, December.
    8. Jun Honda, 2018. "Games with the total bandwagon property meet the Quint–Shubik conjecture," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(3), pages 893-912, September.
    9. Zhang, Boyu, 2016. "Quantal response methods for equilibrium selection in normal form games," Journal of Mathematical Economics, Elsevier, vol. 64(C), pages 113-123.
    10. Tatsuya Sasaki, 2014. "The Evolution of Cooperation Through Institutional Incentives and Optional Participation," Dynamic Games and Applications, Springer, vol. 4(3), pages 345-362, September.
    11. Daisuke Oyama & Satoru Takahashi & Josef Hofbauer, 2011. "Perfect foresight dynamics in binary supermodular games," International Journal of Economic Theory, The International Society for Economic Theory, vol. 7(3), pages 251-267, September.

  21. Hofbauer, Josef & Sorger, Gerhard, 1999. "Perfect Foresight and Equilibrium Selection in Symmetric Potential Games," Journal of Economic Theory, Elsevier, vol. 85(1), pages 1-23, March.
    See citations under working paper version above.
  22. Hofbauer, Josef & Weibull, Jorgen W., 1996. "Evolutionary Selection against Dominated Strategies," Journal of Economic Theory, Elsevier, vol. 71(2), pages 558-573, November.
    See citations under working paper version above.
  23. Gaunersdorfer Andrea & Hofbauer Josef, 1995. "Fictitious Play, Shapley Polygons, and the Replicator Equation," Games and Economic Behavior, Elsevier, vol. 11(2), pages 279-303, November.
    See citations under working paper version above.
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