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Observability and optimality

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  • GEANAKOPLOS, John D.
  • POLEMARCHAKIS, Heraklis

Abstract

Observability of an individual's excess demand function for assets and commodities as all prices and revenue vary suffices in order to recover his von Neumann-Morgenstern utility function. This is generically the case, even when the asset market is incomplete and the cardinal utility indices state dependent, as long as there are at least two commodities traded in spot markets at each state of nature. On the contrary, if the response of individuals' excess demand for assets as prices in spot commodity markets vary is not observable, recoverability fails when the asset market is incomplete. In particular, it is not possible to contradict the claim that the competitive allocation is fully optimal in spite of the incompleteness of the asset market.
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Suggested Citation

  • GEANAKOPLOS, John D. & POLEMARCHAKIS, Heraklis, 1990. "Observability and optimality," LIDAM Reprints CORE 904, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvrp:904
    DOI: 10.1016/0304-4068(90)90040-G
    Note: In : Journal of Mathematical Economics, 19, 153-165, 1990
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    References listed on IDEAS

    as
    1. Philip Dybvig & Heraklis Polemarchakis, 1981. "Recovering Cardinal Utility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(1), pages 159-166.
    2. Mas-Colell, Andreu, 1977. "The Recoverability of Consumers' Preferences from Market Demand Behavior," Econometrica, Econometric Society, vol. 45(6), pages 1409-1430, September.
    3. John Geanakoplos & Heracles M. Polemarchakis, 1985. "Existence, Regularity, and Constrained Suboptimality of Competitive Allocations When the Asset Market Is Incomplete," Cowles Foundation Discussion Papers 764, Cowles Foundation for Research in Economics, Yale University.
    4. McLennan, Andrew, 1979. "Examples of Von Neumann-Morgenstern utility functions not recoverable from asset demands," Economics Letters, Elsevier, vol. 3(2), pages 149-152.
    5. Hart, Oliver D., 1975. "On the optimality of equilibrium when the market structure is incomplete," Journal of Economic Theory, Elsevier, vol. 11(3), pages 418-443, December.
    6. David M. G. Newbery & Joseph E. Stiglitz, 1984. "Pareto Inferior Trade," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(1), pages 1-12.
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    Cited by:

    1. P. Jean-Jacques Herings & Herakles Polemarchakis, 2006. "Pareto Improving Price Regulation when the Asset Market is Incomplete," Studies in Economic Theory, in: Christian Schultz & Karl Vind (ed.), Institutions, Equilibria and Efficiency, chapter 12, pages 225-244, Springer.
    2. Marek Weretka, 2019. "Normative inference in efficient markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(4), pages 787-810, November.
    3. Kubler, F. & Chiappori, P. -A. & Ekeland, I. & Polemarchakis, H. M., 2002. "The Identification of Preferences from Equilibrium Prices under Uncertainty," Journal of Economic Theory, Elsevier, vol. 102(2), pages 403-420, February.
    4. Geanakoplos, John & Polemarchakis, H.M., 2008. "Pareto improving taxes," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 682-696, July.
    5. Charles P. Thomas, 1995. "The Role of Fiscal Policy in an Incomplete Markets Framework," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 62(3), pages 449-468.
    6. Andrés Carvajal & Alvaro Riascos, 2004. "Global identification from the equilibrium manifold under incomplete markets," Royal Holloway, University of London: Discussion Papers in Economics 04/30, Department of Economics, Royal Holloway University of London, revised Nov 2004.
    7. P. Herings & Herakles Polemarchakis, 2005. "Pareto improving price regulation when the asset market is incomplete," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(1), pages 135-154, January.
    8. W D A Bryant, 2009. "General Equilibrium:Theory and Evidence," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 6875, December.
    9. Herakles Polemarchakis, 2015. "Markets and Efficiency," The Japanese Economic Review, Japanese Economic Association, vol. 66(2), pages 150-166, June.
    10. Wettstein, David, 1995. "Incentives and competitive allocations in exchange economies with incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 24(3), pages 201-216.
    11. Tirelli, Mario, 2006. "The evaluation of public investments under uncertainty," Research in Economics, Elsevier, vol. 60(4), pages 188-198, December.
    12. KÜBLER, Felix & POLEMARCHAKIS, Heracles, 1999. "The identification of preferences from the equilibrium prices of commodities and assets," LIDAM Discussion Papers CORE 1999033, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    13. Carvajal, Andres & Ray, Indrajit & Snyder, Susan, 2004. "Equilibrium behavior in markets and games: testable restrictions and identification," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 1-40, February.
    14. Paul Oslington, 2012. "General Equilibrium: Theory and Evidence," The Economic Record, The Economic Society of Australia, vol. 88(282), pages 446-448, September.

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