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Monetary Equilibria and Knightian Uncertainty

  • Eisei Ohtaki

    (Faculty of Economics, Keio University)

  • Hiroyuki Ozaki

    (Faculty of Economics, Keio University)

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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File URL: http://ies.keio.ac.jp/old_project/old/gcoe-econbus/pdf/dp/DP2012-032.pdf
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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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Web page: http://ies.keio.ac.jp/old_project/old/gcoe-econbus/

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  1. Dana, Rose-Anne, 2004. "Ambiguity, uncertainty aversion and equilibrium welfare," Economics Papers from University Paris Dauphine 123456789/5393, Paris Dauphine University.
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  10. Pamela Labadie, 2004. "Aggregate risk sharing and equivalent financial mechanisms in an endowment economy of incomplete participation," Economic Theory, Springer, vol. 24(4), pages 789-809, November.
  11. 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.
  12. Chattopadhyay, Subir, 2001. "The unit root property and optimality: a simple proof," Journal of Mathematical Economics, Elsevier, vol. 36(2), pages 151-159, November.
  13. Demange, G. & Laroque, G., 1996. "Social Security and Demographic Shocks," DELTA Working Papers 96-04, DELTA (Ecole normale supérieure).
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  15. Ghirardato, Paolo & Marinacci, Massimo, 2002. "Ambiguity Made Precise: A Comparative Foundation," Journal of Economic Theory, Elsevier, vol. 102(2), pages 251-289, February.
  16. 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.
  17. Rigotti, Luca & Shannon, Chris, 2012. "Sharing risk and ambiguity," Journal of Economic Theory, Elsevier, vol. 147(5), pages 2028-2039.
  18. 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.
  19. 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.
  20. Casadesus-Masanell, Ramon & Klibanoff, Peter & Ozdenoren, Emre, 2000. "Maxmin Expected Utility over Savage Acts with a Set of Priors," Journal of Economic Theory, Elsevier, vol. 92(1), pages 35-65, May.
  21. Sakai, Yoshikiyo, 1988. "Conditional Pareto optimality of stationary equilibrium in a stochastic overlapping generations model," Journal of Economic Theory, Elsevier, vol. 44(1), pages 209-213, February.
  22. Rose-Anne Dana, 2004. "Ambiguity, uncertainty aversion and equilibrium welfare," Economic Theory, Springer, vol. 23(3), pages 569-587, March.
  23. Mandler, Michael, 2013. "Endogenous indeterminacy and volatility of asset prices under ambiguity," Theoretical Economics, Econometric Society, vol. 8(3), September.
  24. Epstein, Larry G & Wang, Tan, 1994. "Intertemporal Asset Pricing Under Knightian Uncertainty," Econometrica, Econometric Society, vol. 62(2), pages 283-322, March.
  25. Ohtaki, Eisei, 2013. "Golden rule optimality in stochastic OLG economies," Mathematical Social Sciences, Elsevier, vol. 65(1), pages 60-66.
  26. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
  27. 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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