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Monetary Equilibria and Knightian Uncertainty

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  • Eisei Ohtaki

    (Faculty of Economics, Keio University)

  • Hiroyuki Ozaki

    (Faculty of Economics, Keio University)

Abstract

This article considers a pure-endowment stationary stochastic overlapping generations economy, in which agents have maximin expected utility preferences. Two main results are obtained. First, we show that multiple stationary monetary equilibria exist, and hence real as well as price indeterminacy arises under the assumption that aggregate shock exists. Second, we show that each of these stationary monetary equilibria is conditionally Pareto optimal; i.e., no other stationary allocations strictly Pareto dominate the equilibrium allocations.

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Bibliographic Info

Paper provided by Keio/Kyoto Joint Global COE Program in its series Keio/Kyoto Joint Global COE Discussion Paper Series with number 2012-032.

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Length: 24 pages
Date of creation: Feb 2013
Date of revision:
Handle: RePEc:kei:dpaper:2012-032

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References

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  2. Shin-ichi Fukuda, 2007. "Knightian Uncertainty and Poverty Trap in a Model of Economic Growth," CIRJE F-Series CIRJE-F-502, CIRJE, Faculty of Economics, University of Tokyo.
  3. Sujoy Mukerji & Jean-Marc Tallon, 2001. "Ambiguity Aversion and Incompleteness of Financial Markets," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00174539, HAL.
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  9. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
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  14. Manuelli, Rodolfo, 1990. "Existence and optimality of currency equilibrium in stochastic overlapping generations models: The pure endowment case," Journal of Economic Theory, Elsevier, vol. 51(2), pages 268-294, August.
  15. Chateauneuf, A. & Dana, R.-A, & Tallon, J.-M., 1997. "Optimal Risk-Sharing Rules and Equilibria With Non-Additive Expected Utility," Papiers d'Economie Mathématique et Applications 97.54, Université Panthéon-Sorbonne (Paris 1).
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  17. Dow, James & Werlang, Sergio Ribeiro da Costa, 1992. "Uncertainty Aversion, Risk Aversion, and the Optimal Choice of Portfolio," Econometrica, Econometric Society, vol. 60(1), pages 197-204, January.
  18. Ramon Casadesus-Masanell & Peter Klibanoff & Emre Ozdenoren, 1998. "Maximum Expected Utility over Savage Acts with a Set of Priors," Discussion Papers 1218, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  19. Epstein, Larry G & Wang, Tan, 1994. "Intertemporal Asset Pricing Under Knightian Uncertainty," Econometrica, Econometric Society, vol. 62(2), pages 283-322, March.
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  21. Gottardi, Piero, 1996. "Stationary Monetary Equilibria in Overlapping Generations Models with Incomplete Markets," Journal of Economic Theory, Elsevier, vol. 71(1), pages 75-89, October.
  22. Rao Aiyagari, S. & Peled, Dan, 1991. "Dominant root characterization of Pareto optimality and the existence of optimal equilibria in stochastic overlapping generations models," Journal of Economic Theory, Elsevier, vol. 54(1), pages 69-83, June.
  23. Ohtaki, Eisei, 2013. "Golden rule optimality in stochastic OLG economies," Mathematical Social Sciences, Elsevier, vol. 65(1), pages 60-66.
  24. Mandler, Michael, 2013. "Endogenous indeterminacy and volatility of asset prices under ambiguity," Theoretical Economics, Econometric Society, vol. 8(3), September.
  25. Eisei Ohtaki, 2011. "A note on the existence of monetary equilibrium in a stochastic OLG model with a finite state space," Economics Bulletin, AccessEcon, vol. 31(1), pages 485-492.
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Cited by:
  1. Ohtaki, Eisei, 2014. "Tractable graphical device for analyzing stationary stochastic OLG economies," Journal of Macroeconomics, Elsevier, vol. 40(C), pages 16-26.
  2. Faro, José Heleno, 2012. "Cobb-Douglas Preferences under Uncertainty," Insper Working Papers wpe_278, Insper Working Paper, Insper Instituto de Ensino e Pesquisa.

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