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Rate of arbitrage and reconciled beliefs

Marco Scarsini and Yossi Feinberg
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Yossi Feinberg: MEDS, Northwestern University - Northwestern University [Evanston]

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Abstract: Any group of risk neutral agents who hold differing beliefs is vulnerable to money pumps (arbitrage). Thus, the agents may wish to reconcile their beliefs into a new joint belief. We propose a criterion for the choice of reconciled belief based on the notion of ``rate of arbitrage.'' It is shown that there exists a unique belief (probability distribution) that minimizes the maximal expected rate of arbitrage, and an explicit formula for this belief is given.

Keywords: Subjective probability; Dutch book; betting system; zero-sum game; arbitrage; inconsistent beliefs.; inconsistent beliefs (search for similar items in EconPapers)
Date: 2003
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Published in Economics Bulletin, 2003, Vol. 4, N° 11, pp.1-12

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