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Intertemporal equilibria with Knightian Uncertainty

  • Rose-Anne Dana
  • Frank Riedel

We study a dynamic and infinite{dimensional model with incomplete multiple prior preferences. In interior efficient allocations, agents share a common risk{adjusted prior and subjective interest rate. Interior efficient allocations and equilibria coincide with those of economies with subjective expected utility and priors from the agents' multiple prior sets. A specific model with neither risk nor uncertainty at the aggregate level is considered. Risk is always fully insured. For small levels of ambiguity, there exists an equilibrium with inertia where agents also insure fully against Knightian uncertainty. When the level of ambiguity exceeds a critical threshold, full insurance no longer prevails and there exist equilibria with inertia where agents do not insure against uncertainty at all. We also show that equilibria with inertia are indeterminate.

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Paper provided by Department of Research, Ipag Business School in its series Working Papers with number 2013-016.

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Length: 35 pages
Date of creation: 16 May 2013
Date of revision:
Handle: RePEc:ipg:wpaper:2013-016
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  1. Zengjing Chen & Larry Epstein, 2002. "Ambiguity, Risk, and Asset Returns in Continuous Time," Econometrica, Econometric Society, vol. 70(4), pages 1403-1443, July.
  2. Luca Rigotti & Chris Shannon, 2005. "Uncertainty and Risk in Financial Markets," Econometrica, Econometric Society, vol. 73(1), pages 203-243, 01.
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  4. Itzhak Gilboa & Fabio Maccheroni & Massimo Marinacci & David Schmeidler, 2008. "Objective and Subjective Rationality in a Multiple Prior Model," Carlo Alberto Notebooks 73, Collegio Carlo Alberto, revised 2008.
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  9. Alain Chateauneuf & Rose Anne Dana & Jean-Marc Tallon, 2000. "Optimal risk-sharing rules and equilibria with Choquet-expected-utility," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00451997, HAL.
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  14. Efe A. Ok & Pietro Ortoleva & Gil Riella, 2012. "Incomplete Preferences Under Uncertainty: Indecisiveness in Beliefs versus Tastes," Econometrica, Econometric Society, vol. 80(4), pages 1791-1808, 07.
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  18. Shannon, Chris & Strzalecki, Tomasz & Rigotti, Luca, 2008. "Subjective Beliefs and Ex Ante Trade," Scholarly Articles 3637104, Harvard University Department of Economics.
  19. Frank Riedel, 2009. "Optimal Stopping With Multiple Priors," Econometrica, Econometric Society, vol. 77(3), pages 857-908, 05.
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