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A Large-Market Rational Expectations Equilibrium Model

  • Vives, Xavier

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/[square root]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/n[squared]). The model admits a reinterpretation in which behavioral traders coexist with rational traders, and it allows us to characterize the amount of induced mispricing.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 8426.

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Date of creation: Jun 2011
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Handle: RePEc:cpr:ceprdp:8426
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  1. Nuno Cassola & Ali Hortacsu & Jakub Kastl, 2009. "The 2007 Subprime Market Crisis Through the Lens of European Central Bank Auctions for Short-Term Funds," NBER Working Papers 15158, National Bureau of Economic Research, Inc.
  2. J. Bradford De Long & Andrei Shleifer & Lawrence H. Summers & Robert J. Waldmann, 1989. "Positive Feedback Investment Strategies and Destabilizing Rational Speculation," NBER Working Papers 2880, National Bureau of Economic Research, Inc.
  3. Bindseil, Ulrich & Nyborg, Kjell G. & Strebulaev, Ilya A., 2005. "Bidding and Performance in Repo Auctions: Evidence from ECB Open Market Operations," Discussion Papers 2005/13, Department of Business and Management Science, Norwegian School of Economics.
  4. 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.
  5. 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.
  6. Wilson, Robert B, 1985. "Incentive Efficiency of Double Auctions," Econometrica, Econometric Society, vol. 53(5), pages 1101-15, September.
  7. 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.
  8. Xavier Vives, 2011. "Strategic Supply Function Competition With Private Information," Econometrica, Econometric Society, vol. 79(6), pages 1919-1966, November.
  9. Christian Ewerhart & Nuno Cassola & Natacha Valla, 2007. "Declining Valuations And Equilibrium Bidding In Central Bank Refinancing Operations," Swiss Finance Institute Research Paper Series 07-22, Swiss Finance Institute.
  10. Blume, Lawrence & Easley, David, 1990. "Implementation of Walrasian expectations equilibria," Journal of Economic Theory, Elsevier, vol. 51(1), pages 207-227, June.
  11. Vives, Xavier, 1988. "Aggregation of Information in Large Cournot Markets," Econometrica, Econometric Society, vol. 56(4), pages 851-76, July.
  12. Serrano-Padial, Ricardo, 2012. "Naive traders and mispricing in prediction markets," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1882-1912.
  13. Philip J Reny & Motty Perry, 2006. "Toward a Strategic Foundation for Rational Expectations Equilibrium," Econometrica, Econometric Society, vol. 74(5), pages 1231-1269, 09.
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