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A large-market rational expectations equilibrium model

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  • Vives, Xavier

    () (IESE Business School)

Abstract

This paper presents a market with asymmetric information where a privately revealing equilibrium obtains in a competitive framework and where incentives to acquire information are preserved. The equilibrium is efficient, and the paradoxes associated with fully revealing rational expectations equilibria are precluded without resorting to noise traders. The rate at which equilibria in finite replica markets with n traders approach the equilibrium in the continuum economy is 1 n , slower than the rate of convergence to price-taking behavior (1 n ); and the per capita welfare loss is dissipated at the rate 1 n , slower than the rate at which inefficiency due to market power vanishes (1 n2 ). The model admits a einterpretation in which behavioral traders coexist with rational traders, and it allows us to characterize the amount of induced mispricing.

Suggested Citation

  • Vives, Xavier, 2011. "A large-market rational expectations equilibrium model," IESE Research Papers D/924, IESE Business School.
  • Handle: RePEc:ebg:iesewp:d-0924
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    References listed on IDEAS

    as
    1. Andreu Mas-Colell & Xavier Vives, 1993. "Implementation in Economies with a Continuum of Agents," Review of Economic Studies, Oxford University Press, vol. 60(3), pages 613-629.
    2. Nyborg, Kjell G. & Strebulaev, Ilya A. & Bindseil, Ulrich, 2002. "Bidding and performance in repo auctions: evidence from ECB open market operations," Working Paper Series 0157, European Central Bank.
    3. De Long, J Bradford, et al, 1990. " Positive Feedback Investment Strategies and Destabilizing Rational Speculation," Journal of Finance, American Finance Association, vol. 45(2), pages 379-395, June.
    4. Harrison Hong & Jeremy C. Stein, 1999. "A Unified Theory of Underreaction, Momentum Trading, and Overreaction in Asset Markets," Journal of Finance, American Finance Association, vol. 54(6), pages 2143-2184, December.
    5. Xavier Vives, 2011. "Strategic Supply Function Competition With Private Information," Econometrica, Econometric Society, vol. 79(6), pages 1919-1966, November.
    6. Nuno Cassola & Ali Hortaçsu & Jakub Kastl, 2013. "The 2007 Subprime Market Crisis Through the Lens of European Central Bank Auctions for Short‐Term Funds," Econometrica, Econometric Society, vol. 81(4), pages 1309-1345, July.
    7. Wolfgang Pesendorfer & Jeroen M. Swinkels, 1997. "The Loser's Curse and Information Aggregation in Common Value Auctions," Econometrica, Econometric Society, vol. 65(6), pages 1247-1282, November.
    8. Ewerhart, Christian & Cassola, Nuno & Valla, Natacha, 2010. "Declining valuations and equilibrium bidding in central bank refinancing operations," International Journal of Industrial Organization, Elsevier, vol. 28(1), pages 30-43, January.
    9. Philip J Reny & Motty Perry, 2006. "Toward a Strategic Foundation for Rational Expectations Equilibrium," Econometrica, Econometric Society, vol. 74(5), pages 1231-1269, September.
    10. Wilson, Robert B, 1985. "Incentive Efficiency of Double Auctions," Econometrica, Econometric Society, vol. 53(5), pages 1101-1115, September.
    11. Vives, Xavier, 1988. "Aggregation of Information in Large Cournot Markets," Econometrica, Econometric Society, vol. 56(4), pages 851-876, July.
    12. Blume, Lawrence & Easley, David, 1990. "Implementation of Walrasian expectations equilibria," Journal of Economic Theory, Elsevier, vol. 51(1), pages 207-227, June.
    13. Serrano-Padial, Ricardo, 2012. "Naive traders and mispricing in prediction markets," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1882-1912.
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    Cited by:

    1. Peck, James, 2014. "A battle of informed traders and the market game foundations for rational expectations equilibrium," Games and Economic Behavior, Elsevier, vol. 88(C), pages 153-173.

    More about this item

    Keywords

    adverse selection; information acquisition; double auction; multi-unit auctions; rate convergence; behavioral traders; complementarities;

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

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