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Sequentially complete markets remain incomplete

Author

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  • DREZE, Jacques H.
  • HERINGS, Jean-Jacques P.

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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Suggested Citation

  • DREZE, Jacques H. & HERINGS, Jean-Jacques P., 2009. "Sequentially complete markets remain incomplete," LIDAM Reprints CORE 2034, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:2034
    DOI: 10.1016/j.econlet.2008.03.017
    Note: In : Economics Letters, 100, 445-447, 2008
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    References listed on IDEAS

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    1. Citanna, Alessandro & Cres, Herve & Dreze, Jacques & Herings, P. Jean-Jacques & Villanacci, Antonio, 2001. "Continua of underemployment equilibria reflecting coordination failures, also at Walrasian prices," Journal of Mathematical Economics, Elsevier, vol. 36(3), pages 169-200, December.
    2. Kehoe, Timothy J & Levine, David K, 1985. "Comparative Statics and Perfect Foresight in Infinite Horizon Economies," Econometrica, Econometric Society, vol. 53(2), pages 433-453, March.
    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 135-162, January.
    4. Hellwig, Martin F., 1983. "A note on the implementation of rational expectations equilibria," Economics Letters, Elsevier, vol. 11(1-2), pages 1-8.
    5. Michael Mandler, 2002. "Classical and Neoclassical Indeterminacy in One-shot Versus Ongoing Equilibria," Metroeconomica, Wiley Blackwell, vol. 53(3), pages 203-222, August.
    6. Mandler Michael, 1995. "Sequential Indeterminacy in Production Economies," Journal of Economic Theory, Elsevier, vol. 66(2), pages 406-436, August.
    7. 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.
    8. Felix Kubler & Herakles Polemarchakis, 2004. "Stationary Markov equilibria for overlapping generations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(3), pages 623-643, October.
    9. Geanakoplos, John & Mas-Colell, Andreu, 1989. "Real indeterminacy with financial assets," Journal of Economic Theory, Elsevier, vol. 47(1), pages 22-38, February.
    10. 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.
    11. Piero Gottardi & Atsushi Kajii, 1999. "The Structure of Sunspot Equilibria: The Role of Multiplicity," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(3), pages 713-732.
    12. Svensson, Lars E. O., 1976. "Sequences of temporary equilibria, stationary point expectations, and Pareto efficiency," Journal of Economic Theory, Elsevier, vol. 13(2), pages 169-183, October.
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    Cited by:

    1. Bottazzi, Giulio & Dindo, Pietro, 2014. "Evolution and market behavior with endogenous investment rules," Journal of Economic Dynamics and Control, Elsevier, vol. 48(C), pages 121-146.
    2. P. Herings & Kirsten Rohde, 2008. "On the completeness of complete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(2), pages 171-201, November.
    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.
    4. P. Herings & Kirsten Rohde, 2008. "On the completeness of complete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(2), pages 171-201, November.
    5. Fratini, Saverio M. & Levrero, Enrico Sergio & Ravagnani, Fabio, 2016. "Price expectations in neo-Walrasian equilibrium models: an overview," MPRA Paper 69515, University Library of Munich, Germany.
    6. Robin Pope, 2009. "Beggar‐Thy‐Neighbour Exchange Rate Regime Misadvice from Misapplications of Mundell (1961) and the Remedy," The World Economy, Wiley Blackwell, vol. 32(2), pages 326-350, February.

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    More about this item

    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis

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