Subjective probabilities and betting quotients
Synthese 81 (1):1 - 8 (1989)
| Abstract | This paper addresses the problem of why the conditions under which standard proofs of the Dutch Book argument proceed should ever be met. In particular, the condition that there should be odds at which you would be willing to bet indifferently for or against are hardly plausible in practice, and relaxing it and applying Dutch book considerations gives only the theory of upper and lower probabilities. It is argued that there are nevertheless admittedly rather idealised circumstances in which the classic form of the Dutch Book argument is valid. | |||||||||
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Darren Bradley & Hannes Leitgeb (2006). When Betting Odds and Credences Come Apart: More Worries for Dutch Book Arguments. Analysis 66 (290):119–127.
Adam Elga (2010). Subjective Probabilities Should Be Sharp. Philosophers' Imprint 10 (05).
Colin Howson (2007). Logic with Numbers. Synthese 156 (3):491-512.
Daniel Silber (1999). Dutch Books and Agent Rationality. Theory and Decision 47 (3):247-266.
Paul Bartha (2004). Countable Additivity and the de Finetti Lottery. British Journal for the Philosophy of Science 55 (2):301-321.
Colin Howson (1992). Dutch Book Arguments and Consistency. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1992:161 - 168.
T. Seidenfeld, M. J. Schervish & J. B. Kadane (1990). When Fair Betting Odds Are Not Degrees of Belief. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1990:517 - 524.
Wlodek Rabinowicz & Luc Bovens (2011). Bets on Hats: On Dutch Books Against Groups, Degrees of Belief as Betting Rates, and Group-Reflection. Episteme 8 (3):281-300.
Darrell P. Rowbottom (2007). The Insufficiency of the Dutch Book Argument. Studia Logica 87 (1):65 - 71.
Peter Milne (1990). Scotching the Dutch Book Argument. Erkenntnis 32 (1):105--26.
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