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Markov Perfect Equilibria in the Ramsey Model

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Abstract

We study the Ramsey (1928) model under the assumption that households act strategically. We compute the Markov perfect equilib- rium for this model and compare it to the original, competitive equi- librium and to a strategic open-loop equilibrium proposed by Sorger (2002, 2005b). We show that, if households are identical, strategic behavior has no in°uence on the long run evolution of the economy. If households are heterogeneous, however, the Markov perfect equilib- rium has properties that di®er from those of the competitive and the open-loop equilibrium.

Suggested Citation

  • Paul Pichler & Gerhard Sorger, 2006. "Markov Perfect Equilibria in the Ramsey Model," Vienna Economics Papers 0610, University of Vienna, Department of Economics.
  • Handle: RePEc:vie:viennp:0610
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    File URL: http://homepage.univie.ac.at/Papers.Econ/RePEc/vie/viennp/vie0610.pdf
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    References listed on IDEAS

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    1. Robert A. Becker, 1980. "On the Long-Run Steady State in a Simple Dynamic Model of Equilibrium with Heterogeneous Households," The Quarterly Journal of Economics, Oxford University Press, vol. 95(2), pages 375-382.
    2. Becker, Robert A. & Foias, Ciprian, 2007. "Strategic Ramsey equilibrium dynamics," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 318-346, April.
    3. Sorger, Gerhard, 2002. "On the Long-Run Distribution of Capital in the Ramsey Model," Journal of Economic Theory, Elsevier, vol. 105(1), pages 226-243, July.
    4. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December.
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    Cited by:

    1. Gerhard Sorger, 2008. "Strategic saving decisions in the infinite-horizon model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 36(3), pages 353-377, September.
    2. Pichler, Paul & Sorger, Gerhard, 2009. "Wealth distribution and aggregate time-preference: Markov-perfect equilibria in a Ramsey economy," Journal of Economic Dynamics and Control, Elsevier, vol. 33(1), pages 1-14, January.

    More about this item

    Keywords

    Ramsey model; strate;

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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