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A new resolution of the Judy Benjamin problem

Douven, Igor and Romeijn, Jan-Willem (2009) A new resolution of the Judy Benjamin problem. LSE Choice Group working paper series, vol. 5, no. 7. The Centre for Philosophy of Natural and Social Science (CPNSS), London School of Economics, London, UK.

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Abstract

Van Fraassen’s Judy Benjamin problem has generally been taken to show that not all rational changes of belief can be modelled in a probabilistic framework if the available update rules are restricted to Bayes’s rule and Jeffrey’s generalization thereof. But alternative rules based on distance functions between probability assignments that allegedly can handle the problem seem to have counterintuitive consequences. Taking our cue from a recent proposal by Bradley, we argue that Jeffrey’s rule can solve the Judy Benjamin problem after all. Moreover, we show that the specific instance of Jeffrey’s rule that solves the Judy Benjamin problem can be underpinned by a particular distance function. Finally, we extend the set of distance functions to ones that take into account the varying degrees to which propositions may be epistemically entrenched.

Item Type: Monograph (Working Paper)
Official URL: http://www2.lse.ac.uk/CPNSS/Home.aspx
Additional Information: © 2009 The authors
Library of Congress subject classification: H Social Sciences > HB Economic Theory
Sets: Research centres and groups > LSE Choice Group
Research centres and groups > Centre for Philosophy of Natural and Social Science (CPNSS)
Collections > Economists Online
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Identification Number: vol. 5, no. 7
Date Deposited: 08 Feb 2010 10:43
URL: http://eprints.lse.ac.uk/27004/

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