IDEAS home Printed from https://ideas.repec.org/a/kap/compec/v29y2007i1p69-96.html
   My bibliography  Save this article

Comparative dynamics in an overlapping-generations model: the effects of quasi-rational discrete choice on finding and maintaining Nash equilibrium

Author

Listed:
  • James Sprigg
  • Mark Ehlen

Abstract

Many models of Nash Equilibrium are complex enough that it becomes difficult to ascertain if and under what conditions the economic players can find and maintain this equilibrium. Using an analytical overlapping- generations model of goods, labor, and banking markets and quasi-rational discrete choice decision making, we find through agent-based simulations that Nash Equilibrium in goods market prices is stable when firms are sufficiently sensitive to changes in profits. In addition to verifying the analytical Nash outcome, the simulations verify that their economic agents, decision rules, and other protocols correspond to and maintain consistency with the analytical theory and identify important bounds of the analytical model. Copyright Springer Science+Business Media, LLC 2007

Suggested Citation

  • James Sprigg & Mark Ehlen, 2007. "Comparative dynamics in an overlapping-generations model: the effects of quasi-rational discrete choice on finding and maintaining Nash equilibrium," Computational Economics, Springer;Society for Computational Economics, vol. 29(1), pages 69-96, February.
    • Handle: RePEc:kap:compec:v:29:y:2007:i:1:p:69-96
    DOI: 10.1007/s10614-006-9081-z
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10614-006-9081-z
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10614-006-9081-z?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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. Christopher D. Carroll, 1997. "Buffer-Stock Saving and the Life Cycle/Permanent Income Hypothesis," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(1), pages 1-55.
    2. Balasko, Yves & Shell, Karl, 1981. "The overlapping-generations model. II. The case of pure exchange with money," Journal of Economic Theory, Elsevier, vol. 24(1), pages 112-142, February.
    3. Wang, Neng, 2004. "Precautionary saving and partially observed income," Journal of Monetary Economics, Elsevier, vol. 51(8), pages 1645-1681, November.
    4. C. Alan Garner, 2002. "Consumer confidence after September 11," Economic Review, Federal Reserve Bank of Kansas City, vol. 87(Q II).
    5. Serdar Sayan & Ali Emre Uyar, 2001. "Directions of Trade Flows and Labor Movements between high-and Low-Population Growth Countries: An Overlapping Generations General Equilibrium Analysis," Working Papers 0108, Department of Economics, Bilkent University.
    6. Lettau, Martin, 1997. "Explaining the facts with adaptive agents: The case of mutual fund flows," Journal of Economic Dynamics and Control, Elsevier, vol. 21(7), pages 1117-1147, June.
    7. Jason Bram & Sydney C. Ludvigson, 1998. "Does consumer confidence forecast household expenditure? a sentiment index horse race," Economic Policy Review, Federal Reserve Bank of New York, vol. 4(Jun), pages 59-78.
    8. Lucas, Robert Jr., 1972. "Expectations and the neutrality of money," Journal of Economic Theory, Elsevier, vol. 4(2), pages 103-124, April.
    9. Train,Kenneth E., 2009. "Discrete Choice Methods with Simulation," Cambridge Books, Cambridge University Press, number 9780521766555.
    10. J. Doyne Farmer & Paolo Patelli & Ilija I. Zovko, 2003. "The Predictive Power of Zero Intelligence in Financial Markets," Papers cond-mat/0309233, arXiv.org, revised Feb 2004.
    11. Basu, N & Pryor, R & Quint, T, 1998. "ASPEN: A Microsimulation Model of the Economy," Computational Economics, Springer;Society for Computational Economics, vol. 12(3), pages 223-241, December.
    12. James M. Poterba, 2001. "Demographic Structure And Asset Returns," The Review of Economics and Statistics, MIT Press, vol. 83(4), pages 565-584, November.
    13. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66(6), pages 467-467.
    14. Balasko, Yves & Cass, David & Shell, Karl, 1980. "Existence of competitive equilibrium in a general overlapping-generations model," Journal of Economic Theory, Elsevier, vol. 23(3), pages 307-322, December.
    15. Gilbert Ghez & Gary S. Becker, 1975. "The Allocation of Time and Goods over the Life Cycle," NBER Books, National Bureau of Economic Research, Inc, number ghez75-1, July.
    16. Andrew B. Abel, 2001. "Will Bequests Attenuate The Predicted Meltdown In Stock Prices When Baby Boomers Retire?," The Review of Economics and Statistics, MIT Press, vol. 83(4), pages 589-595, November.
    17. Hubbard, R. Glenn & Skinner, Jonathan & Zeldes, Stephen P., 1994. "The importance of precautionary motives in explaining individual and aggregate saving," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 40(1), pages 59-125, June.
    18. Milton Friedman, 1957. "A Theory of the Consumption Function," NBER Books, National Bureau of Economic Research, Inc, number frie57-1, July.
    19. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
    20. Nigel Gilbert & Pietro Terna, 2000. "How to build and use agent-based models in social science," Mind & Society: Cognitive Studies in Economics and Social Sciences, Springer;Fondazione Rosselli, vol. 1(1), pages 57-72, March.
    21. Balasko, Yves & Shell, Karl, 1981. "The overlapping-generations model. III. The case of log-linear utility functions," Journal of Economic Theory, Elsevier, vol. 24(1), pages 143-152, February.
    22. Batchelor, Roy & Dua, Pami, 1998. "Improving macro-economic forecasts: The role of consumer confidence," International Journal of Forecasting, Elsevier, vol. 14(1), pages 71-81, March.
    23. Gilbert Ghez & Gary S. Becker, 1975. "The Allocation of Goods Over the Life Cycle," NBER Chapters, in: The Allocation of Time and Goods over the Life Cycle, pages 46-82, National Bureau of Economic Research, Inc.
    24. Heckman, James J, 1974. "Life Cycle Consumption and Labor Supply: An Explanation of the Relationship Between Income and Consumption Over the Life Cycle," American Economic Review, American Economic Association, vol. 64(1), pages 188-194, March.
    25. Gilbert Ghez & Gary S. Becker, 1975. "The Allocation of Time Over the Life Cycle," NBER Chapters, in: The Allocation of Time and Goods over the Life Cycle, pages 83-132, National Bureau of Economic Research, Inc.
    26. Balasko, Yves & Shell, Karl, 1980. "The overlapping-generations model, I: The case of pure exchange without money," Journal of Economic Theory, Elsevier, vol. 23(3), pages 281-306, December.
    27. Abel, Andrew B, 1985. "Precautionary Saving and Accidental Bequests," American Economic Review, American Economic Association, vol. 75(4), pages 777-791, September.
    28. Domowitz, Ian & Wang, Jianxin, 1994. "Auctions as algorithms : Computerized trade execution and price discovery," Journal of Economic Dynamics and Control, Elsevier, vol. 18(1), pages 29-60, January.
    Full references (including those not matched with items on IDEAS)

    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. Orazio P. Attanasio & Guglielmo Weber, 2010. "Consumption and Saving: Models of Intertemporal Allocation and Their Implications for Public Policy," Journal of Economic Literature, American Economic Association, vol. 48(3), pages 693-751, September.
    2. Bullard, James & Feigenbaum, James, 2007. "A leisurely reading of the life-cycle consumption data," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2305-2320, November.
    3. Orazio P. Attanasio, 1998. "Consumption Demand," NBER Working Papers 6466, National Bureau of Economic Research, Inc.
    4. Feigenbaum James A. & Li Geng, 2012. "Life Cycle Dynamics of Income Uncertainty and Consumption," The B.E. Journal of Macroeconomics, De Gruyter, vol. 12(1), pages 1-49, May.
    5. Casey B. Mulligan, 1999. "Substitution over Time: Another Look at Life-Cycle Labor Supply," NBER Chapters, in: NBER Macroeconomics Annual 1998, volume 13, pages 75-152, National Bureau of Economic Research, Inc.
    6. Mark Aguiar & Erik Hurst, 2013. "Deconstructing Life Cycle Expenditure," Journal of Political Economy, University of Chicago Press, vol. 121(3), pages 437-492.
    7. James Feigenbaum & Geng Li, 2008. "Lifecycle Dynamics of Income Uncertainty and Consumption," Working Paper 360, Department of Economics, University of Pittsburgh, revised Jul 2008.
    8. Feigenbaum, James, 2008. "Can mortality risk explain the consumption hump?," Journal of Macroeconomics, Elsevier, vol. 30(3), pages 844-872, September.
    9. Aydilek, Asiye, 2016. "The allocation of time and puzzling profiles of the elderly," Economic Modelling, Elsevier, vol. 53(C), pages 515-526.
    10. Hubbard, R. Glenn & Skinner, Jonathan & Zeldes, Stephen P., 1994. "The importance of precautionary motives in explaining individual and aggregate saving," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 40(1), pages 59-125, June.
    11. Charalambos Aliprantis & Kim Border & Owen Burkinshaw, 1996. "Market economies with many commodities," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 19(1), pages 113-185, March.
    12. Barbie, Martin & Hagedorn, Marcus & Kaul, Ashok, 2000. "Dynamic Efficiency and Pareto Optimality in a Stochastic OLG Model with Production and Social Security," IZA Discussion Papers 209, Institute of Labor Economics (IZA).
    13. Aylit Tina Romm, 2017. "Retirement date effects on saving behavior: Endogenous labor supply and non-separable preferences," International Journal of Economic Theory, The International Society for Economic Theory, vol. 13(3), pages 327-346, September.
    14. B. Douglas Bernheim & Jonathan Skinner & Steven Weinberg, 2001. "What Accounts for the Variation in Retirement Wealth among U.S. Households?," American Economic Review, American Economic Association, vol. 91(4), pages 832-857, September.
    15. Pingle, Mark & Tesfatsion, Leigh, 1998. "Active intermediation in a monetary overlapping generations economy1," Journal of Economic Dynamics and Control, Elsevier, vol. 22(10), pages 1543-1574, August.
    16. Diane Macunovich, 1999. "The Baby Boom As It Ages: How Has It Affected Patterns of Consumptions and Savings in the United States?," Center for Policy Research Working Papers 7, Center for Policy Research, Maxwell School, Syracuse University.
    17. Antoine Bommier & Ronald D. Lee, 2003. "Overlapping generations models with realistic demography," Journal of Population Economics, Springer;European Society for Population Economics, vol. 16(1), pages 135-160, February.
    18. Jean-Marc Bonnisseau & Lalaina Rakotonindrainy, 2017. "Existence of equilibrium in OLG economies with increasing returns," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(1), pages 111-129, January.
    19. Dagmar Brožová, 2010. "Individual Labour Supply Decisions with Respect To Household Production and Over the Life Cycle [Rozhodování o individuální nabídce práce s ohledem na produkci domácnosti a v průběhu životního cykl," Acta Oeconomica Pragensia, Prague University of Economics and Business, vol. 2010(1), pages 21-33.
    20. Lee A. Lillard, 1977. "Estimation of Permanent and Transitory Response Functions in Panels Data: A Dynamic Labor Supply Model," NBER Working Papers 0185, National Bureau of Economic Research, Inc.

    More about this item

    Keywords

    Quasi rationality; Discrete choice; Life-cycle hypothesis; Nash equilibrium; Overlapping generations; Agent-based simulation; C62; C63; D91;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

    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:kap:compec:v:29:y:2007:i:1:p:69-96. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.