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Do sunspots matter when agents are Choquet-expected-utility maximizers?

  • Tallon, Jean-Marc

We consider a two-period, complete market economy in which agents' preferences are represented by a non-additive expected utility. If agents are optimistic i.e. if the measure according to which they compute their expected utility is subadditive, sunspots matter at equilibrium. If agents are pessimistic i.e. if their measure is convex, and share the same beliefs, sunspots do not matter at equilibrium, and the (normalized) equilibrium price is indeterminate. In this latter case, one can even allow for different beliefs among agents and still have that sunspots do not matter. The analysis is contrasted with the case of additive beliefs studied by Cass and Shell, Journal of Political Economy 91 (1983), pp. 193–227.

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Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

Volume (Year): 22 (1998)
Issue (Month): 3 (March)
Pages: 357-368

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Handle: RePEc:eee:dyncon:v:22:y:1998:i:3:p:357-368
Contact details of provider: Web page: http://www.elsevier.com/locate/jedc

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  1. Karl Shell & Randall Wright, 2010. "Indivisibilities, Lotteries and Sunspot Equilibria," Levine's Working Paper Archive 2061, David K. Levine.
  2. Michèle D. Cohen, 1995. "Risk-Aversion Concepts in Expected- and Non-Expected-Utility Models," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 20(1), pages 73-91, June.
  3. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-87, May.
  4. Debreu, Gerard, 1970. "Economies with a Finite Set of Equilibria," Econometrica, Econometric Society, vol. 38(3), pages 387-92, May.
  5. Chateauneuf, Alain, 1991. "On the use of capacities in modeling uncertainty aversion and risk aversion," Journal of Mathematical Economics, Elsevier, vol. 20(4), pages 343-369.
  6. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
  7. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
  8. Balasko, Yves, 1983. "Extrinsic uncertainty revisited," Journal of Economic Theory, Elsevier, vol. 31(2), pages 203-210, December.
  9. Karni, Edi & Schmeidler, David, 1991. "Utility theory with uncertainty," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 33, pages 1763-1831 Elsevier.
  10. Tallon, J.M., 1995. "Sunspot Equilibria and Non-Additive Expected Utility Maximizers," Papiers d'Economie Mathématique et Applications 95.14, Université Panthéon-Sorbonne (Paris 1).
  11. Sarin, Rakesh K & Wakker, Peter, 1992. "A Simple Axiomatization of Nonadditive Expected Utility," Econometrica, Econometric Society, vol. 60(6), pages 1255-72, November.
  12. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
  13. Epstein, Larry G & Wang, Tan, 1994. "Intertemporal Asset Pricing Under Knightian Uncertainty," Econometrica, Econometric Society, vol. 62(2), pages 283-322, March.
  14. Wakker, Peter, 1990. "Characterizing optimism and pessimism directly through comonotonicity," Journal of Economic Theory, Elsevier, vol. 52(2), pages 453-463, December.
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