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The puzzle of the hats

Synthese 172 (1):57-78 (2010)

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  1. Betting Interpretation and the Problem of Interference.Wlodek Rabinowicz & Lina Eriksson - 2014 - Vienna Circle Institute Yearbook 17:103-115.
    It has long been common to identify an agent’s degrees of belief with her betting rates. Here is this betting interpretation in a nutshell: A bet on a proposition A with price C and a non-zero stake S is said to be fair for an agent iff the latter is willing to take each side of the bet, to buy the bet as to sell it. Assuming that such a bet on A exists and that the C/S ratio is constant (...)
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  • The interference problem for the betting interpretation of degrees of belief.Lina Eriksson & Wlodek Rabinowicz - 2013 - Synthese 190 (5):809-830.
    The paper’s target is the historically influential betting interpretation of subjective probabilities due to Ramsey and de Finetti. While there are several classical and well-known objections to this interpretation, the paper focuses on just one fundamental problem: There is a sense in which degrees of belief cannot be interpreted as betting rates. The reasons differ in different cases, but there’s one crucial feature that all these cases have in common: The agent’s degree of belief in a proposition A does not (...)
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  • Bets on Hats: On Dutch Books Against Groups, Degrees of Belief as Betting Rates, and Group-Reflection.Luc Bovens & Wlodek Rabinowicz - 2011 - Episteme 8 (3):281-300.
    The Puzzle of the Hats is a puzzle in social epistemology. It describes a situation in which a group of rational agents with common priors and common goals seems vulnerable to a Dutch book if they are exposed to different information and make decisions independently. Situations in which this happens involve violations of what might be called the Group-Reflection Principle. As it turns out, the Dutch book is flawed. It is based on the betting interpretation of the subjective probabilities, but (...)
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