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Statistical mechanics of asset markets with private information


  • J. Berg
  • M. Marsili
  • A. Rustichini
  • R. Zecchina


Traders in a market typically have widely different, private information on the return of an asset. The equilibrium price of the asset may reflect this information more accurately if the number of traders is large enough compared to the number of the states of the world that determine the return of the asset. We study the transition from markets where prices do not reflect the information accurately into markets where it does. In competitive markets, this transition takes place suddenly, at a critical value of the ratio between number of states and number of traders. The Nash equilibrium market behaves quite differently from a competitive market even in the limit of large economies.

Suggested Citation

  • J. Berg & M. Marsili & A. Rustichini & R. Zecchina, 2001. "Statistical mechanics of asset markets with private information," Quantitative Finance, Taylor & Francis Journals, vol. 1(2), pages 203-211.
  • Handle: RePEc:taf:quantf:v:1:y:2001:i:2:p:203-211 DOI: 10.1080/713665667

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    References listed on IDEAS

    1. Shapley, Lloyd S & Shubik, Martin, 1977. "Trade Using One Commodity as a Means of Payment," Journal of Political Economy, University of Chicago Press, vol. 85(5), pages 937-968, October.
    2. Gul, Faruk & Postlewaite, Andrew, 1992. "Asymptotic Efficiency in Large Exchange Economies with Asymmetric Information," Econometrica, Econometric Society, vol. 60(6), pages 1273-1292, November.
    3. Rustichini, Aldo & Satterthwaite, Mark A & Williams, Steven R, 1994. "Convergence to Efficiency in a Simple Market with Incomplete Information," Econometrica, Econometric Society, vol. 62(5), pages 1041-1063, September.
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    Cited by:

    1. Marsili, Matteo, 2001. "Market mechanism and expectations in minority and majority games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 299(1), pages 93-103.
    2. Goldbaum, David, 2006. "Self-organization and the persistence of noise in financial markets," Journal of Economic Dynamics and Control, Elsevier, vol. 30(9-10), pages 1837-1855.
    3. Caccioli, Fabio & Marsili, Matteo, 2010. "Information efficiency and financial stability," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy (IfW), vol. 4, pages 1-20.
    4. Ferreira, Fernando F. & Marsili, Matteo, 2005. "Real payoffs and virtual trading in agent based market models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 345(3), pages 657-675.

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