David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Journal of Philosophical Research 22:477-482 (1997)
Philosophical writing on probability theory includes a great many articles discussing relationships between rational behavior and an agent’s susceptibility to betting contexts where an overall loss is mathematically inevitable. What the dutch book theorem establishes is that this kind of susceptibility is a consequence of having betting ratios that are in violation of the Kolmogorov probability axioms. In this article it is noted that a general result to rule out arbitrage can be shown to yield the dutch book theorem as a special case. A formal framework is set forth to handle marketplace transactions involving contractual arrangements; and, within that framework, necessary and sufficient conditions are given for ruling out arbitrage. It is then shown that these conditions entail that pricing functions associated with particular kinds of betting contracts must turn out to be probability functions
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
J. Robert G. Williams (2012). Generalized Probabilism: Dutch Books and Accuracy Domination. [REVIEW] Journal of Philosophical Logic 41 (5):811-840.
Robert Titiev (1993). Diagnosis of Ailing Belief Systems. Journal of Philosophical Research 18:277-283.
Frank Döring (2000). Conditional Probability and Dutch Books. Philosophy of Science 67 (3):391-409.
Alan Hájek (2008). Arguments for–or Against–Probabilism? British Journal for the Philosophy of Science 59 (4):793 - 819.
Darrell P. Rowbottom (2007). The Insufficiency of the Dutch Book Argument. Studia Logica 87 (1):65 - 71.
Brad Armendt (1980). Is There a Dutch Book Argument for Probability Kinematics? Philosophy of Science 47 (4):583-588.
Patrick Maher (1997). Depragmatized Dutch Book Arguments. Philosophy of Science 64 (2):291-305.
Colin Howson (1989). Subjective Probabilities and Betting Quotients. Synthese 81 (1):1 - 8.
Paul Bartha (2004). Countable Additivity and the de Finetti Lottery. British Journal for the Philosophy of Science 55 (2):301-321.
Brian Weatherson (2003). From Classical to Intuitionistic Probability. Notre Dame Journal of Formal Logic 44 (2):111-123.
C. Waidacher (1997). Hidden Assumptions in the Dutch Book Argument. Theory and Decision 43 (3):293-312.
Peter Milne (1990). Scotching the Dutch Book Argument. Erkenntnis 32 (1):105--26.
Added to index2011-12-02
Total downloads5 ( #248,482 of 1,413,240 )
Recent downloads (6 months)1 ( #153,719 of 1,413,240 )
How can I increase my downloads?