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Ambiguity Aversion and Incompleteness of Financial Markets

  • Mukerji, Sujoy
  • Tallon, Jean-Marc

We consider a stylized bond-equity economy, which though incomplete per se, has a rich enough set of assets available for trade such that given standard assumptions about behavior under uncertainty, the equilibrium allocation would arbitrarily approximate a complete market allocation. We show, however, that when agents' beliefs are given by a set of probabilities and agents are ambiguity averse, a certain subset of the available assets will not be actually traded in equilibrium, given "sufficient" ambiguity aversion. What determines an asset's vulnerability to ambiguity aversion is whether its payoffs have an idiosyncratic component. If, (1) the range of variation of the payoff's idiosyncratic component is "large" relative to the range of the variation of the component correlated with the endowment vector and, (2) the ambiguity of the agents' common belief about the idiosyncratic component is sufficiently high, then the asset will not be traded in any general equilibrium of the finance economy. Moreover, we also find that the effect of idiosyncracy cannot simply be "washed away" by the standard techniques of diversification relying on the laws of large numbers, as it would be if the agents' beliefs were not ambiguous.

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Article provided by Wiley Blackwell in its journal Review of Economic Studies.

Volume (Year): 68 (2001)
Issue (Month): 4 (October)
Pages: 883-904

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Handle: RePEc:bla:restud:v:68:y:2001:i:4:p:883-904
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  1. Epstein, Larry G & Wang, Tan, 1994. "Intertemporal Asset Pricing Under Knightian Uncertainty," Econometrica, Econometric Society, vol. 62(2), pages 283-322, March.
  2. 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.
  3. Chateauneuf, Alain & Dana, Rose-Anne & Tallon, Jean-Marc, 2000. "Optimal risk-sharing rules and equilibria with Choquet-expected-utility," Journal of Mathematical Economics, Elsevier, vol. 34(2), pages 191-214, October.
  4. : Ebbe Hendon & Hans Jørgen Jacobsen & Birgitte Sloth & Torben Tranæs, 1993. "The Product of Capacities and Belief Functions," Discussion Papers 93-04, University of Copenhagen. Department of Economics.
  5. Stephen Morris, 1997. "Risk, uncertainty and hidden information," Theory and Decision, Springer, vol. 42(3), pages 235-269, May.
  6. Stephen P. Zeldes, . "Consumption and Liquidity Constraints: An Empirical Investigation," Rodney L. White Center for Financial Research Working Papers 16-88, Wharton School Rodney L. White Center for Financial Research.
  7. Ghirardato, Paolo, 1997. "On Independence for Non-Additive Measures, with a Fubini Theorem," Journal of Economic Theory, Elsevier, vol. 73(2), pages 261-291, April.
  8. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-87, May.
  9. Mace, Barbara J, 1991. "Full Insurance in the Presence of Aggregate Uncertainty," Journal of Political Economy, University of Chicago Press, vol. 99(5), pages 928-56, October.
  10. Hayashi, Fumio & Altonji, Joseph & Kotlikoff, Laurence, 1996. "Risk-Sharing between and within Families," Econometrica, Econometric Society, vol. 64(2), pages 261-94, March.
  11. Magill, Michael & Shafer, Wayne, 1991. "Incomplete markets," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 30, pages 1523-1614 Elsevier.
  12. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
  13. Mukerji, Sujoy, 1998. "Ambiguity Aversion and Incompleteness of Contractual Form," American Economic Review, American Economic Association, vol. 88(5), pages 1207-31, December.
  14. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
  15. Ghirardato, Paolo & Marinacci, M., 1997. "Ambiguity Made Precise: A Comparative Foundation and Some Implications," Working Papers 1026, California Institute of Technology, Division of the Humanities and Social Sciences.
  16. Deaton, A. & Paxson, C., 1993. "Intertemporal Choice and Inequality," Papers 168, Princeton, Woodrow Wilson School - Development Studies.
  17. Kelsey David & Milne Frank, 1995. "The Arbitrage Pricing Theorem with Non-expected Utility Preferences," Journal of Economic Theory, Elsevier, vol. 65(2), pages 557-574, April.
  18. Werner, Jan, 1997. "Diversification and Equilibrium in Securities Markets," Journal of Economic Theory, Elsevier, vol. 75(1), pages 89-103, July.
  19. Marinacci, Massimo, 1999. "Limit Laws for Non-additive Probabilities and Their Frequentist Interpretation," Journal of Economic Theory, Elsevier, vol. 84(2), pages 145-195, February.
  20. 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.
  21. Epstein, Larry G, 1999. "A Definition of Uncertainty Aversion," Review of Economic Studies, Wiley Blackwell, vol. 66(3), pages 579-608, July.
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