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The No Trade Principle in General Environments

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Author Info
Ngai-Ching Wong
Man-Chung Ng
Abstract

The no trade principle asserts that risk-neutral agents are not prepared to trade if and only if a common prior exists. The purpose of this article is to provide general versions of this principle. We first study the case when no topological assumption is made on the state space. Bets are uniform limits of bounded measurable functions. We then assume that the state space is completely regular Hausdorff and consider two cases in which bets are continuous functions and bounded continuous functions respectively

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Paper provided by Econometric Society in its series Econometric Society 2004 Far Eastern Meetings with number 630.

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Date of creation: 11 Aug 2004
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Handle: RePEc:ecm:feam04:630

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Related research
Keywords: No Trade Principle; common priors; duality; completely regular Hausdorff; Separation Theorem;

Find related papers by JEL classification:
C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information
D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations

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  1. Antoine Billot & Alain Chateauneuf & Itzhak Gilboa & Jean-Marc Tallon, 2000. "Sharing Beliefs: Between Agreeing and Disagreeing," Econometrica, Econometric Society, vol. 68(3), pages 685-694, May.
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  2. Barton L. Lipman & Sugato Bhattacharyya, 1995. "Ex ante versus interim rationality and the existence of bubbles," Economic Theory, Springer, vol. 6(3), pages 469-494.
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  3. Samet, Dov, 1998. "Common Priors and Separation of Convex Sets," Games and Economic Behavior, Elsevier, vol. 24(1-2), pages 172-174, July. [Downloadable!] (restricted)
  4. Ng, Man-Chung, 2003. "On the duality between prior beliefs and trading demands," Journal of Economic Theory, Elsevier, vol. 109(1), pages 39-51, March. [Downloadable!] (restricted)
  5. Milgrom, Paul & Stokey, Nancy, 1982. "Information, trade and common knowledge," Journal of Economic Theory, Elsevier, vol. 26(1), pages 17-27, February. [Downloadable!] (restricted)
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  6. Harsanyi, John C, 1995. "Games with Incomplete Information," American Economic Review, American Economic Association, vol. 85(3), pages 291-303, June.
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  7. Morris, Stephen, 1994. "Trade with Heterogeneous Prior Beliefs and Asymmetric Information," Econometrica, Econometric Society, vol. 62(6), pages 1327-47, November. [Downloadable!] (restricted)
  8. Brandenburger Adam & Dekel Eddie, 1993. "Hierarchies of Beliefs and Common Knowledge," Journal of Economic Theory, Elsevier, vol. 59(1), pages 189-198, February. [Downloadable!] (restricted)
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