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Wealth distribution and aggregate time-preference: Markov-perfect equilibria in a Ramsey economy

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  • Pichler, Paul
  • Sorger, Gerhard

Abstract

We study Markov-perfect Nash equilibria (MPNE) of a Ramsey-Cass-Koopmans economy in which households are aware of their influence on prices. The Ramsey conjecture fails to hold such that households other than the most patient one own positive wealth in the steady state. This confirms results that have been derived in the same model using an open-loop equilibrium concept. In contrast to the competitive and the open-loop equilibrium, the steady state of the MPNE depends on the utility functions of the households. Since the MPNE cannot be determined analytically, a high-order least squares projection method is employed.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:dyncon:v:33:y:2009:i:1:p:1-14
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    References listed on IDEAS

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    1. Becker, Robert A. & Foias, Ciprian, 2007. "Strategic Ramsey equilibrium dynamics," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 318-346, April.
    2. 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.
    3. Paul Pichler & Gerhard Sorger, 2006. "Markov Perfect Equilibria in the Ramsey Model," Vienna Economics Papers 0610, University of Vienna, Department of Economics.
    4. Tornell, Aaron & Velasco, Andes, 1992. "The Tragedy of the Commons and Economic Growth: Why Does Capital Flow from Poor to Rich Countries?," Journal of Political Economy, University of Chicago Press, vol. 100(6), pages 1208-1231, December.
    5. David Cass, 1965. "Optimum Growth in an Aggregative Model of Capital Accumulation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(3), pages 233-240.
    6. Aruoba, S. Boragan & Fernandez-Villaverde, Jesus & Rubio-Ramirez, Juan F., 2006. "Comparing solution methods for dynamic equilibrium economies," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2477-2508, December.
    7. Lane, Philip R & Tornell, Aaron, 1996. "Power, Growth, and the Voracity Effect," Journal of Economic Growth, Springer, vol. 1(2), pages 213-241, June.
    8. 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.
    9. Fershtman, Chaim & Muller, Eitan, 1984. "Capital accumulation games of infinite duration," Journal of Economic Theory, Elsevier, vol. 33(2), pages 322-339, August.
    10. Philip R. Lane & Aaron Tornell, 1999. "The Voracity Effect," American Economic Review, American Economic Association, vol. 89(1), pages 22-46, March.
    11. Christian Gollier & Richard Zeckhauser, 2005. "Aggregation of Heterogeneous Time Preferences," Journal of Political Economy, University of Chicago Press, vol. 113(4), pages 878-896, August.
    12. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December.
    13. 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, President and Fellows of Harvard College, vol. 95(2), pages 375-382.
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