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Strategic Market Games with a Finite Horizon and Incomplete

  • Gaël GIRAUD
  • Sonia WEYERS

We study a strategic market game associated to an intertemporal economy with a finite horizon and incomplete markets. We demonstrate that generically, for any finite number of players, every sequentially strictly individually rational and default-free stream of allocations can be approximated by a full subgame-perfect equilibrium. As a consequence, imperfect competition may Pareto-dominate perfect competition when markets are incomplete. Moreover — and this contrasts with the main message conveyed by the market games literature — there exists a large open set of initial endowments for which full subgame-perfect equilibria do not converge to η- efficient allocations when the number of players tends to infinity. Finally, strategic speculative bubbles may survive at full subgame-perfect equilibria.

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Paper provided by Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg in its series Working Papers of BETA with number 2003-04.

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Date of creation: 2003
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Handle: RePEc:ulp:sbbeta:2003-04
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  1. Atsushi Kajii & Antonio Villanacci & Alessandro Citanna, 1998. "Constrained suboptimality in incomplete markets: a general approach and two applications," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 495-521.
  2. Sonia Weyers, 1999. "Uncertainty and insurance in strategic market games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(1), pages 181-201.
  3. Benoit, Jean-Pierre & Krishna, Vijay, 1985. "Finitely Repeated Games," Econometrica, Econometric Society, vol. 53(4), pages 905-22, July.
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  5. Magill, M. & Quinzii, M., 1992. "Infinite Horizon Incomplete Markets," Papers 413a, California Davis - Institute of Governmental Affairs.
  6. John Geanakoplos & Andreu Mas-Colell, 1985. "Real Indeterminacy with Financial Assets," Cowles Foundation Discussion Papers 770R, Cowles Foundation for Research in Economics, Yale University, revised Oct 1985.
  7. Shapley, Lloyd S & Shubik, Martin, 1977. "Trade Using One Commodity as a Means of Payment," Journal of Political Economy, University of Chicago Press, vol. 85(5), pages 937-68, October.
  8. Abraham Neyman, 1999. "Cooperation in Repeated Games when the Number of Stages is Not Commonly Known," Econometrica, Econometric Society, vol. 67(1), pages 45-64, January.
  9. Gaël Giraud & Hubert Stahn, 2003. "Efficiency and imperfect competition with incomplete markets," Post-Print halshs-00499288, HAL.
  10. 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.
  11. Peck, James & Shell, Karl & Spear, Stephen E., 1992. "The market game: existence and structure of equilibrium," Journal of Mathematical Economics, Elsevier, vol. 21(3), pages 271-299.
  12. James Peck & Karl Shell, 1991. "Market Uncertainty: Correlated and Sunspot Equilibria in Imperfectly Competitive Economies," Review of Economic Studies, Oxford University Press, vol. 58(5), pages 1011-1029.
  13. Duffie, Darrell & Shafer, Wayne, 1985. "Equilibrium in incomplete markets: I : A basic model of generic existence," Journal of Mathematical Economics, Elsevier, vol. 14(3), pages 285-300, June.
  14. Kaneko, Mamoru, 1982. "Some remarks on the folk theorem in game theory," Mathematical Social Sciences, Elsevier, vol. 3(3), pages 281-290, October.
  15. David K Levine & William R Zame, 2000. "Risk Sharing and Market Incompleteness," Levine's Working Paper Archive 2080, David K. Levine.
  16. Postlewaite, A & Schmeidler, David, 1978. "Approximate Efficiency of Non-Walrasian Nash Equilibria," Econometrica, Econometric Society, vol. 46(1), pages 127-35, January.
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