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Recursive equilibrium in stochastic OLG economies: Incomplete markets

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  • Citanna, Alessandro
  • Siconolfi, Paolo

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.

Suggested Citation

  • Citanna, Alessandro & Siconolfi, Paolo, 2012. "Recursive equilibrium in stochastic OLG economies: Incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 48(5), pages 322-337.
  • Handle: RePEc:eee:mateco:v:48:y:2012:i:5:p:322-337
    DOI: 10.1016/j.jmateco.2012.08.003
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    References listed on IDEAS

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    1. Duffie, Darrell, et al, 1994. "Stationary Markov Equilibria," Econometrica, Econometric Society, vol. 62(4), pages 745-781, July.
    2. José-Víctor Ríos-Rull, 1996. "Life-Cycle Economies and Aggregate Fluctuations," Review of Economic Studies, Oxford University Press, vol. 63(3), pages 465-489.
    3. Author-Name: John Geanakoplos & Michael Magill & Martine Quinzii, 2004. "Demography and the Long-Run Predictability of the Stock Market," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 35(1), pages 241-326.
    4. George M. Constantinides & John B. Donaldson & Rajnish Mehra, 2002. "Junior Can't Borrow: A New Perspective on the Equity Premium Puzzle," The Quarterly Journal of Economics, Oxford University Press, vol. 117(1), pages 269-296.
    5. 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.
    6. Lars Ljungqvist & Thomas J. Sargent, 2004. "Recursive Macroeconomic Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 026212274x, January.
    7. Felix Kubler & Herakles Polemarchakis, 2004. "Stationary Markov equilibria for overlapping generations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(3), pages 623-643, October.
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    Cited by:

    1. Bosi, Stefano & Ha-Huy, Thai & Le Van, Cuong & Pham, Cao-Tung & Pham, Ngoc-Sang, 2018. "Financial bubbles and capital accumulation in altruistic economies," MPRA Paper 84429, University Library of Munich, Germany.

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