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Recursive equilibrium in stochastic OLG economies: Incomplete markets

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  • Citanna, Alessandro
  • Siconolfi, Paolo
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    Abstract

    We prove generic existence of recursive equilibrium for overlapping generations economies with uncertainty and incomplete financial markets. Generic here means in a residual set of utilities and endowments. The result holds provided there is sufficient intragenerational household heterogeneity, and transition probabilities and the asset payoff matrix satisfy mild regularity conditions. The paper also provides a new methodological technique to establish comparative statics, or perturbation, properties in such environments.

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    Bibliographic Info

    Article provided by Elsevier in its journal Journal of Mathematical Economics.

    Volume (Year): 48 (2012)
    Issue (Month): 5 ()
    Pages: 322-337

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    Handle: RePEc:eee:mateco:v:48:y:2012:i:5:p:322-337

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    Web page: http://www.elsevier.com/locate/jmateco

    Related research

    Keywords: Overlapping generations; Incomplete markets; Recursive equilibrium; Transversality theorem;

    References

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    1. Constantinides, G.M. & Donalson, J.B. & Mehra, R., 1997. "Junior Can't Borrow: A New Perspective on the Equity Premium Puzzle," Papers 97-24, Columbia - Graduate School of Business.
    2. Kjetil Storesletten & Chris I. Telmer & Amir Yaron, 2004. "Cyclical Dynamics in Idiosyncratic Labor Market Risk," Journal of Political Economy, University of Chicago Press, vol. 112(3), pages 695-717, June.
    3. John Geanakoplos & Michael Magill & Martine Quinzii, 2002. "Demography and the Long-run Predictability of the Stock Market," Cowles Foundation Discussion Papers 1380R, Cowles Foundation for Research in Economics, Yale University, revised Jul 2004.
    4. Felix Kubler & Herakles Polemarchakis, 2004. "Stationary Markov equilibria for overlapping generations," Economic Theory, Springer, vol. 24(3), pages 623-643, October.
    5. Rios-Rull, Jose-Victor, 1996. "Life-Cycle Economies and Aggregate Fluctuations," Review of Economic Studies, Wiley Blackwell, vol. 63(3), pages 465-89, July.
    6. Lars Ljungqvist & Thomas J. Sargent, 2004. "Recursive Macroeconomic Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 026212274x, December.
    7. Duffie, Darrell, et al, 1994. "Stationary Markov Equilibria," Econometrica, Econometric Society, vol. 62(4), pages 745-81, July.
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    Cited by:
    1. Emin Gahramanov & Xueli Tang, 2013. "Solving for the Retirement Age in a Continuous-time Model with Endogenous Labor Supply," Economics Series 2013_5, Deakin University, Faculty of Business and Law, School of Accounting, Economics and Finance.

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