Sets of probability distributions, independence, and convexity

Synthese 186 (2):577-600 (2012)
Abstract
This paper analyzes concepts of independence and assumptions of convexity in the theory of sets of probability distributions. The starting point is Kyburg and Pittarelli’s discussion of “convex Bayesianism” (in particular their proposals concerning E-admissibility, independence, and convexity). The paper offers an organized review of the literature on independence for sets of probability distributions; new results on graphoid properties and on the justification of “strong independence” (using exchangeability) are presented. Finally, the connection between Kyburg and Pittarelli’s results and recent developments on the axiomatization of non-binary preferences, and its impact on “complete” independence, are described
Keywords Sets of probability distributions  Independence  Decision-making  Preferences  Convexity
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DOI 10.1007/s11229-011-9999-0
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References found in this work BETA
The Logic of Decision.Richard Jeffrey - 1965 - University of Chicago Press.
What Conditional Probability Could Not Be.Alan Hájek - 2003 - Synthese 137 (3):273--323.
A Mathematical Theory of Evidence.Glenn Shafer - 1976 - Princeton University Press.

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Citations of this work BETA
The Bayesian Who Knew Too Much.Yann Benétreau-Dupin - 2015 - Synthese 192 (5):1527-1542.
Demystifying Dilation.Arthur Paul Pedersen & Gregory Wheeler - 2014 - Erkenntnis 79 (6):1305-1342.

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