The No Trade Principle in General Environments
AbstractThe 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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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; Mechanism Design
- D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
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