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Efficiency Properties of Rational Expectations Equilibria with Asymmetric Information

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Rohit Rahi ()
Piero Gottardi

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Abstract

In this paper we provide a characterization of the welfare properties of rational expectations equilibria of economies in which, prior to trading, agents have some information over the realization of uncertainity. We study a model with asymmetrically informed agents, treating symmetric information as a limiting case. Trade takes place in asset markets that may or may not be complete. We show that equilibria are characterized by two forms of inefficiency, price inefficiency and spanning inefficiency, and that generically both of them are present. Price inefficiency arises whenever equilibrium prices reveal some information. It formalizes and generalizes the so-called Hirshleifer effect, by showing that generically an interim Pareto improvement is possible even conditional on the information that is available to agents in equilibrium; the primary source of the inefficiency is a pecuniary externality. Spanning ineffiency, on the other hand, arises if prices are not fully revealing and markets are incomplete relative to the uncertainity faced by agents in equilibrium. In this case, an ex-post improvement can generically be implemented by providing agents with more information, thus expanding their risk-sharing opportunities and reducing informational asymmetries, even though this additional information restricts the set of allocations that are incentive compatible and individually rational.

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Paper provided by Financial Markets Group in its series FMG Discussion Papers with number dp381.

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Date of creation: Jun 2001
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Handle: RePEc:fmg:fmgdps:dp381

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Forges Francoise, 1994. "Posterior Efficiency," Games and Economic Behavior, Elsevier, vol. 6(2), pages 238-261, March. [Downloadable!] (restricted)
  2. Postlewaite, Andrew & Schmeidler, David, 1986. "Implementation in differential information economies," Journal of Economic Theory, Elsevier, vol. 39(1), pages 14-33, June. [Downloadable!] (restricted)
  3. Citanna, Alessandro & Villanacci, Antonio, 2000. "Incomplete Markets, Allocative Efficiency, and the Information Revealed by Prices," Journal of Economic Theory, Elsevier, vol. 90(2), pages 222-253, February. [Downloadable!] (restricted)
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  4. Holmstrom, Bengt & Myerson, Roger B, 1983. "Efficient and Durable Decision Rules with Incomplete Information," Econometrica, Econometric Society, vol. 51(6), pages 1799-819, November. [Downloadable!] (restricted)
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  5. Gul, Faruk & Postlewaite, Andrew, 1992. "Asymptotic Efficiency in Large Exchange Economies with Asymmetric Information," Econometrica, Econometric Society, vol. 60(6), pages 1273-92, November. [Downloadable!] (restricted)
  6. Tom Krebs, 1999. "Information and Efficiency in Financial Market Equilibrium," Working Papers 99-20, Brown University, Department of Economics.
  7. Stiglitz, Joseph E, 1982. "The Inefficiency of the Stock Market Equilibrium," Review of Economic Studies, Blackwell Publishing, vol. 49(2), pages 241-61, April. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Juan Carlos Hatchondo, 2005. "The value of information with heterogeneous agents and partially revealing prices," Working Paper 05-06, Federal Reserve Bank of Richmond. [Downloadable!]
  2. Juan Hatchondo, 2004. "The value of information with heterogeneous agents and partially revealing prices," Econometric Society 2004 North American Summer Meetings 175, Econometric Society. [Downloadable!]
  3. Piero Gottardi & Rohit Rahi, 2007. "Value of Information in Competitive Economies with Incomplete Markets," Working Papers 2007_25, University of Venice "Ca' Foscari", Department of Economics. [Downloadable!]
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