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Sequentially complete markets remain incomplete

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  • DRÈZE, Jacques
  • HERINGS, Jean-Jacques

Abstract

We reconsider the well-known result of Arrow (1953) that the set of equilibria of an economy with complete markets coincides with the one of an economy with sequentially complete markets. We show by means of two examples that this result is problematic when there exist multiple equilibrium continuations to the initial-period component of an intertemporal equilibrium. Some consequences are drawn.

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Bibliographic Info

Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 2003085.

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Date of creation: 00 Nov 2003
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Handle: RePEc:cor:louvco:2003085

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Keywords: sequentially complete markets; rational expectations; time inconsistency;

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  1. Timothy J. Kehoe & David K. Levine, 1982. "Comparitive Statics and Perfect Foresight in Infinite Horizon Economies," UCLA Economics Working Papers 259, UCLA Department of Economics.
  2. CITANNA, Alessandro & CRES, Herve & DREZE, Jacques & HERINGS, Jean-Jacques & VILLANACCI, Antonio, 2001. "Continua of underemployment equilibria reflecting coordination failures, also at Walrasian prices," Les Cahiers de Recherche 732, HEC Paris.
  3. Balasko, Yves & Cass, David, 1989. "The Structure of Financial Equilibrium with Exogenous Yields: The Case of Incomplete Markets," Econometrica, Econometric Society, vol. 57(1), pages 135-62, January.
  4. Gottardi, Piero & Kajii, Atsushi, 1999. "The Structure of Sunspot Equilibria: The Role of Multiplicity," Review of Economic Studies, Wiley Blackwell, vol. 66(3), pages 713-32, July.
  5. Mandler Michael, 1995. "Sequential Indeterminacy in Production Economies," Journal of Economic Theory, Elsevier, vol. 66(2), pages 406-436, August.
  6. Radner, Roy, 1972. "Existence of Equilibrium of Plans, Prices, and Price Expectations in a Sequence of Markets," Econometrica, Econometric Society, vol. 40(2), pages 289-303, March.
  7. Geanakoplos, John & Mas-Colell, Andreu, 1989. "Real indeterminacy with financial assets," Journal of Economic Theory, Elsevier, vol. 47(1), pages 22-38, February.
  8. Felix Kubler & Herakles Polemarchakis, 2004. "Stationary Markov equilibria for overlapping generations," Economic Theory, Springer, vol. 24(3), pages 623-643, October.
  9. Herings, P. Jean-Jacques, 1998. "On the existence of a continuum of constrained equilibria1," Journal of Mathematical Economics, Elsevier, vol. 30(3), pages 257-273, October.
  10. Hellwig, Martin F., 1983. "A note on the implementation of rational expectations equilibria," Economics Letters, Elsevier, vol. 11(1-2), pages 1-8.
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Cited by:
  1. Herings,P. Jean-Jacques & Rohde,Kirsten I.M., 2004. "On the Completeness of Complete Markets," Research Memorandum 053, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  2. Giulio Bottazzi & Pietro Dindo, 2010. "Evolution and market behavior with endogenous investment rules," LEM Papers Series 2010/20, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
  3. Robin Pope & Reinhard Selten & Johannes Kaiser & Sebastian Kube & Jürgen Hagen, 2012. "Exchange rate determination: a theory of the decisive role of central bank cooperation and conflict," International Economics and Economic Policy, Springer, vol. 9(1), pages 13-51, March.

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