TRADE WITH HETEROGENEOUS PRIOR BELIEFS AND ASYMMETRIC INFORMATION

'No trade' theorems have shown that new information will not lead to trade when agents share the same prior beliefs. This paper explores the structure of no trade theorems with heterogeneous prior beliefs. It is shown how different notions of efficiency under asymmetric information--ex ante, interim, ex post--are related to agents' prior beliefs as well as incentive compatible and public versions of those efficiency concepts. These efficiency results are used to characterize necessary and sufficient conditions on agents' beliefs for no trade theorems in different trading environments. Copyright 1994 by The Econometric Society.

[1]  Sérgio Ribeiro da Costa Werlang,et al.  Common knowledge and game theory , 1986 .

[2]  J. Proudfoot,et al.  Noise , 1931, The Indian medical gazette.

[3]  Nancy L. Stokey,et al.  Information, Trade, and Common Knowledge , 1982 .

[4]  Paul R. Milgrom,et al.  AN AXIOMATIC CHARACTERIZATION OF COMMON KNOWLEDGE , 1981 .

[5]  J. Harsanyi Games with Incomplete Information Played by 'Bayesian' Players, Part III. The Basic Probability Distribution of the Game , 1968 .

[6]  Adam Brandenburger,et al.  Common knowledge with probability 1 , 1987 .

[7]  R. Aumann Correlated Equilibrium as an Expression of Bayesian Rationality Author ( s ) , 1987 .

[8]  James K. Sebenius,et al.  Don't Bet on it: Contingent Agreements with Asymmetric Information , 1983 .

[9]  Jean-Jacques Laffont,et al.  On the Welfare Analysis of Rational Expectations Equilibria with Asymmetric Information , 1985 .

[10]  David M. Kreps A note on "fulfilled expectations" equilibria , 1977 .

[11]  R. Radner Rational Expectations Equilibrium: Generic Existence and the Information Revealed by Prices , 1979 .

[12]  The,et al.  DIFFERENCES OF OPINION IN FINANCIAL MARKETS , 2022 .

[13]  James A. Ohlson,et al.  Sufficient and Necessary Conditions for Information to Have Social Value in Pure Exchange , 1982 .

[14]  D. Samet Ignoring ignorance and agreeing to disagree , 1990 .

[15]  Sanford J. Grossman An Introduction to the Theory of Rational Expectations Under Asymmetric Information , 1981 .

[16]  Faruk Gul,et al.  Asymptotic efficiency in large exchange economies with asymmetric information , 1992 .

[17]  B. Douglas Bernheim,et al.  Axiomatic Characterizations of Rational Choice in Strategic Environme nts , 1986 .

[18]  Robert B. Wilson Information, efficiency, and the core of an economy , 1978 .

[19]  J. Geanakoplos Game Theory Without Partitions, and Applications to Speculation and Consensus , 1989, The B.E. Journal of Theoretical Economics.

[20]  Jay Shanken,et al.  Intertemporal asset pricing: An Empirical Investigation , 1990 .

[21]  S. Morris,et al.  The role of beliefs in economic theory , 1991 .

[22]  Roger B. Myerson,et al.  Game theory - Analysis of Conflict , 1991 .

[23]  R. Myerson,et al.  Efficient and Durable Decision Rules with Incomplete Information , 1983 .

[24]  J. Tirole On the Possibility of Speculation under Rational Expectations , 1982 .

[25]  J. Geanakoplos,et al.  Correlated equilibrium with generalized information structures , 1992 .

[26]  Robert E. Verrecchia Consensus Beliefs, Information Acquisition, and Market Information Efficiency , 1980 .

[27]  Ken Binmore,et al.  Common Knowledge and Game Theory , 1988 .

[28]  Steven Vajda,et al.  The Theory of Linear Economic Models , 1960 .

[29]  David Gale The theory of linear economic models , 1960 .