David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Synthese 75 (1):25 - 44 (1988)
A case is made for supposing that the total probability accounted for in a decision analysis is less than unity. This is done by constructing a measure on the set of all codes for computable functions in such a way that the measure of every effectively accountable subset is bounded by a number <1. The consistency of these measures with the Savage axioms for rational preference is established. Implications for applied decision theory are outlined.
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References found in this work BETA
Leonard J. Savage (1954). The Foundations of Statistics. Wiley Publications in Statistics.
Teddy Seidenfeld & Mark J. Schervish (1983). A Conflict Between Finite Additivity and Avoiding Dutch Book. Philosophy of Science 50 (3):398-412.
G. L. S. Shackle (1957). Uncertainty in Economics and Other Reflections. British Journal for the Philosophy of Science 7 (28):362-363.
Alfred B. Manaster (1975). Completeness, Compactness, and Undecidability: An Introduction to Mathematical Logic. Prentice-Hall.
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