Statistical mechanics of asset markets with private information
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.
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- Rustichini, Aldo & Satterthwaite, Mark A & Williams, Steven R, 1994.
"Convergence to Efficiency in a Simple Market with Incomplete Information,"
Econometric Society, vol. 62(5), pages 1041-63, September.
- Aldo Rustichini, 1992. "Convergence to Efficiency in a Simple Market with Incomplete Information," Discussion Papers 995, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Gul, Faruk & Postlewaite, Andrew, 1992. "Asymptotic Efficiency in Large Exchange Economies with Asymmetric Information," Econometrica, Econometric Society, vol. 60(6), pages 1273-92, November.
- 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 937-68, October.
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