IDEAS home Printed from https://ideas.repec.org/a/eee/dyncon/v31y2007i4p1106-1131.html
   My bibliography  Save this article

Controlled stochastic differential equations under Poisson uncertainty and with unbounded utility

Author

Listed:
  • Sennewald, Ken

Abstract

No abstract is available for this item.

Suggested Citation

  • Sennewald, Ken, 2007. "Controlled stochastic differential equations under Poisson uncertainty and with unbounded utility," Journal of Economic Dynamics and Control, Elsevier, vol. 31(4), pages 1106-1131, April.
    • Handle: RePEc:eee:dyncon:v:31:y:2007:i:4:p:1106-1131
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165-1889(06)00089-3
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Le Van, Cuong & Morhaim, Lisa, 2002. "Optimal Growth Models with Bounded or Unbounded Returns: A Unifying Approach," Journal of Economic Theory, Elsevier, vol. 105(1), pages 158-187, July.
    2. Gene M. Grossman & Elhanan Helpman, 1991. "Quality Ladders in the Theory of Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(1), pages 43-61.
    3. van Dijk, Nico M., 1988. "On the finite horizon Bellman equation for controlled Markov jump models with unbounded characteristics: existence and approximation," Stochastic Processes and their Applications, Elsevier, vol. 28(1), pages 141-157, April.
    4. Stephen J. Turnovsky, 2000. "Methods of Macroeconomic Dynamics, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262201232, December.
    5. Klaus Wälde, 2005. "Endogenous Growth Cycles," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(3), pages 867-894, August.
    6. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    7. Framstad, Nils Chr. & Oksendal, Bernt & Sulem, Agnes, 2001. "Optimal consumption and portfolio in a jump diffusion market with proportional transaction costs," Journal of Mathematical Economics, Elsevier, vol. 35(2), pages 233-257, April.
    8. Bellamy, Nadine, 2001. "Wealth optimization in an incomplete market driven by a jump-diffusion process," Journal of Mathematical Economics, Elsevier, vol. 35(2), pages 259-287, April.
    9. Bassan, Bruno & Çinlar, Erhan & Scarsini, Marco, 1993. "Stochastic comparisons of Itô processes," Stochastic Processes and their Applications, Elsevier, vol. 45(1), pages 1-11, March.
    10. Christopher A. Pissarides, 2000. "Equilibrium Unemployment Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262161877, December.
    11. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    12. Juan Pablo RincÛn-Zapatero & Carlos RodrÌguez-Palmero, 2003. "Existence and Uniqueness of Solutions to the Bellman Equation in the Unbounded Case," Econometrica, Econometric Society, vol. 71(5), pages 1519-1555, September.
    13. Segerstrom, Paul S, 1998. "Endogenous Growth without Scale Effects," American Economic Review, American Economic Association, vol. 88(5), pages 1290-1310, December.
    14. Walde, Klaus, 1999. "Optimal Saving under Poisson Uncertainty," Journal of Economic Theory, Elsevier, vol. 87(1), pages 194-217, July.
    15. Michel, Philippe, 1982. "On the Transversality Condition in Infinite Horizon Optimal Problems," Econometrica, Econometric Society, vol. 50(4), pages 975-985, July.
    16. Mortensen, Dale T., 1994. "The cyclical behavior of job and worker flows," Journal of Economic Dynamics and Control, Elsevier, vol. 18(6), pages 1121-1142, November.
    17. Peter Howitt, 1999. "Steady Endogenous Growth with Population and R & D Inputs Growing," Journal of Political Economy, University of Chicago Press, vol. 107(4), pages 715-730, August.
    18. Steger, Thomas M., 2005. "Stochastic growth under Wiener and Poisson uncertainty," Economics Letters, Elsevier, vol. 86(3), pages 311-316, March.
    19. Aase, Knut Kristian, 1984. "Optimum portfolio diversification in a general continuous-time model," Stochastic Processes and their Applications, Elsevier, vol. 18(1), pages 81-98, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Khieu, Hoang & Wälde, Klaus, 2023. "Capital income risk and the dynamics of the wealth distribution," Economic Modelling, Elsevier, vol. 122(C).
    2. Posch, Olaf, 2009. "Structural estimation of jump-diffusion processes in macroeconomics," Journal of Econometrics, Elsevier, vol. 153(2), pages 196-210, December.
    3. Matthias Birkner & Niklas Scheuer & Klaus Wälde, 2023. "The dynamics of Pareto distributed wealth in a small open economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(2), pages 607-644, August.
    4. Posch, Olaf, 2011. "Risk premia in general equilibrium," Journal of Economic Dynamics and Control, Elsevier, vol. 35(9), pages 1557-1576, September.
    5. Josa-Fombellida, Ricardo & Rincón-Zapatero, Juan Pablo, 2012. "Stochastic pension funding when the benefit and the risky asset follow jump diffusion processes," European Journal of Operational Research, Elsevier, vol. 220(2), pages 404-413.
    6. Olaf POSCH & Klaus WALDE, 2009. "On the non-causal link between volatility and growth," LIDAM Discussion Papers IRES 2009025, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    7. Regis Houssou & Olivier Besson, 2010. "Indifference of Defaultable Bonds with Stochastic Intensity models," Papers 1003.4118, arXiv.org.
    8. Bauer, Christian, 2011. "On the reservation wage under CARA and limited borrowing," Mathematical Social Sciences, Elsevier, vol. 62(2), pages 126-129, September.
    9. Tsuboi, Mizuki, 2019. "Resource scarcity, technological progress, and stochastic growth," Economic Modelling, Elsevier, vol. 81(C), pages 73-88.
    10. Bayer, Christian & Rendall, Alan D. & Wälde, Klaus, 2019. "The invariant distribution of wealth and employment status in a small open economy with precautionary savings," Journal of Mathematical Economics, Elsevier, vol. 85(C), pages 17-37.
    11. Cieślik, Andrzej & Goczek, Łukasz, 2018. "Control of corruption, international investment, and economic growth – Evidence from panel data," World Development, Elsevier, vol. 103(C), pages 323-335.
    12. Posch, Olaf & Trimborn, Timo, 2013. "Numerical solution of dynamic equilibrium models under Poisson uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2602-2622.
    13. Olaf Posch & Klaus Wälde, 2011. "On the link between volatility and growth," Journal of Economic Growth, Springer, vol. 16(4), pages 285-308, December.
    14. Christensen, Bent Jesper & Parra-Alvarez, Juan Carlos & Serrano, Rafael, 2021. "Optimal control of investment, premium and deductible for a non-life insurance company," Insurance: Mathematics and Economics, Elsevier, vol. 101(PB), pages 384-405.
    15. Posch, Olaf & Trimborn, Timo, 2010. "Numerical solution of continuous-time DSGE models under Poisson uncertainty," Hannover Economic Papers (HEP) dp-450, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    16. Francesco Menoncin & Stefano Nembrini, 2018. "Stochastic continuous time growth models that allow for closed form solutions," Journal of Economics, Springer, vol. 124(3), pages 213-241, July.
    17. Vejlin, Rune, 2017. "Optimal Unemployment Insurance: How Important Is The Demand Side?," Macroeconomic Dynamics, Cambridge University Press, vol. 21(8), pages 2070-2095, December.
    18. Carmelo Pierpaolo Parello, 2010. "A Schumpeterian Growth Model With Equilibrium Unemployment," Metroeconomica, Wiley Blackwell, vol. 61(2), pages 398-426, May.
    19. Levaggi, Rosella & Menoncin, Francesco, 2013. "Optimal dynamic tax evasion," Journal of Economic Dynamics and Control, Elsevier, vol. 37(11), pages 2157-2167.
    20. Parello, Carmelo Pierpaolo, 2011. "Labor market rigidity and productivity growth in a model of innovation-driven growth," Economic Modelling, Elsevier, vol. 28(3), pages 1058-1067, May.
    21. Wälde, Klaus, 2011. "Production technologies in stochastic continuous time models," Journal of Economic Dynamics and Control, Elsevier, vol. 35(4), pages 616-622, April.
    22. Mizuki Tsuboi, 2018. "Stochastic accumulation of human capital and welfare in the Uzawa–Lucas model: an analytical characterization," Journal of Economics, Springer, vol. 125(3), pages 239-261, November.
    23. Christensen, Bent Jesper & Posch, Olaf & van der Wel, Michel, 2016. "Estimating dynamic equilibrium models using mixed frequency macro and financial data," Journal of Econometrics, Elsevier, vol. 194(1), pages 116-137.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Sennewald, Ken, 2005. "Controlled Stochastic Differential Equations under Poisson Uncertainty and with Unbounded Utility," Dresden Discussion Paper Series in Economics 03/05, Technische Universität Dresden, Faculty of Business and Economics, Department of Economics.
    2. Ken Sennewald & Klaus Wälde, 2006. "“Itô's Lemma” and the Bellman Equation for Poisson Processes: An Applied View," Journal of Economics, Springer, vol. 89(1), pages 1-36, October.
    3. Sennewald, Ken & Wälde, Klaus, 2005. ""Itô's Lemma" and the Bellman equation: An applied view," Dresden Discussion Paper Series in Economics 04/05, Technische Universität Dresden, Faculty of Business and Economics, Department of Economics.
    4. Posch, Olaf, 2009. "Structural estimation of jump-diffusion processes in macroeconomics," Journal of Econometrics, Elsevier, vol. 153(2), pages 196-210, December.
    5. Matthias Birkner & Niklas Scheuer & Klaus Wälde, 2023. "The dynamics of Pareto distributed wealth in a small open economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(2), pages 607-644, August.
    6. Guido Cozzi & Silvia Galli, 2009. "Upstream Innovation Protection: Common Law Evolution and the Dynamics of Wage Inequality," Working Papers 2009_20, Business School - Economics, University of Glasgow.
    7. Simon Wiederhold, 2012. "The Role of Public Procurement in Innovation: Theory and Empirical Evidence," ifo Beiträge zur Wirtschaftsforschung, ifo Institute - Leibniz Institute for Economic Research at the University of Munich, number 43.
    8. Shinagawa, Shunsuke, 2013. "Endogenous fluctuations with procyclical R&D," Economic Modelling, Elsevier, vol. 30(C), pages 274-280.
    9. Angus C. Chu & Guido Cozzi & Haichao Fan & Yuichi Furukawa, 2021. "Inflation, Unemployment, and Economic Growth in a Schumpeterian Economy," Scandinavian Journal of Economics, Wiley Blackwell, vol. 123(3), pages 874-909, July.
    10. Posch, Olaf, 2011. "Risk premia in general equilibrium," Journal of Economic Dynamics and Control, Elsevier, vol. 35(9), pages 1557-1576, September.
    11. Klaus Walde, 2001. "Capital accumulation in a model of growth and creative destruction," Discussion Paper / Institute for Empirical Macroeconomics 139, Federal Reserve Bank of Minneapolis.
    12. Annarita BALDANZI & Alberto BUCCI & Klaus PRETTNER, 2016. "The Effects of Health Investments on Human Capital and R&D-Driven Economic Growth," Departmental Working Papers 2016-17, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    13. Segerstrom, Paul S, 2000. "The Long-Run Growth Effects of R&D Subsidies," Journal of Economic Growth, Springer, vol. 5(3), pages 277-305, September.
    14. Colantone, Italo & Crinò, Rosario, 2014. "New imported inputs, new domestic products," Journal of International Economics, Elsevier, vol. 92(1), pages 147-165.
    15. Bloom, David E. et.al., 2013. "Economic impact of non-communicable disease in China and India: Estimates, projections and comparisons," Working Papers 300, Institute for Social and Economic Change, Bangalore.
    16. Chu, Angus C. & Cozzi, Guido & Lai, Ching-Chong & Liao, Chih-Hsing, 2015. "Inflation, R&D and growth in an open economy," Journal of International Economics, Elsevier, vol. 96(2), pages 360-374.
    17. Hélène Latzer & Kiminori Matsuyama & Mathieu Parenti, 2018. "The market Size Effect in Endogenous Growth Reconsidered," Documents de travail du Centre d'Economie de la Sorbonne 18032, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    18. Frederic Tournemaine & Pongsak Luangaram, 2012. "R&D, human capital, fertility, and growth," Journal of Population Economics, Springer;European Society for Population Economics, vol. 25(3), pages 923-953, July.
    19. Ruiyang Hu & Yibai Yang & Zhijie Zheng, 2023. "Effects of subsidies on growth and welfare in a quality‐ladder model with elastic labor," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 25(5), pages 1096-1137, October.
    20. Bharat Diwakar & Gilad Sorek, 2016. "Human-Capital Spillover, Population, and Economic Growth," Auburn Economics Working Paper Series auwp2016-02, Department of Economics, Auburn University.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:dyncon:v:31:y:2007:i:4:p:1106-1131. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jedc .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.