David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Synthese 172 (1):157 - 176 (2010)
We discuss several features of coherent choice functions —where the admissible options in a decision problem are exactly those that maximize expected utility for some probability/utility pair in fixed set S of probability/utility pairs. In this paper we consider, primarily, normal form decision problems under uncertainty—where only the probability component of S is indeterminate and utility for two privileged outcomes is determinate. Coherent choice distinguishes between each pair of sets of probabilities regardless the “shape” or “connectedness” of the sets of probabilities. We axiomatize the theory of choice functions and show these axioms are necessary for coherence. The axioms are sufficient for coherence using a set of probability/almost-state-independent utility pairs. We give sufficient conditions when a choice function satisfying our axioms is represented by a set of probability/state-independent utility pairs with a common utility.
|Keywords||Choice functions Coherence Γ-Maximin Maximality Uncertainty State-independent utility|
|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
Leonard J. Savage (1954). The Foundations of Statistics. Wiley Publications in Statistics.
Isaac Levi (1986). Hard Choices: Decision Making Under Unresolved Conflict. Cambridge University Press.
Isaac Levi (1974). On Indeterminate Probabilities. Journal of Philosophy 71 (13):391-418.
Isaac Levi (1978). On Indeterminate Probabilities. In A. Hooker, J. J. Leach & E. F. McClennen (eds.), Journal of Philosophy. D. Reidel 233--261.
Citations of this work BETA
Conor Mayo‐Wilson & Gregory Wheeler (2016). Scoring Imprecise Credences: A Mildly Immodest Proposal. Philosophy and Phenomenological Research 92 (1).
Arthur Paul Pedersen & Gregory Wheeler (2014). Demystifying Dilation. Erkenntnis 79 (6):1305-1342.
Fabio G. Cozman (2012). Sets of Probability Distributions, Independence, and Convexity. Synthese 186 (2):577-600.
Rush T. Stewart (2016). Conditional Choice with a Vacuous Second Tier. Synthese 193 (1):219-243.
Isaac Levi (2010). Probability Logic, Logical Probability, and Inductive Support. Synthese 172 (1):97 - 118.
Similar books and articles
Reed Richter (1984). Rationality Revisited. Australasian Journal of Philosophy 62 (4):392 – 403.
Robin Giles (1992). A Generalization of the Theory of Subjective Probability and Expected Utility. Synthese 90 (2):301 - 343.
Marc le Menestrel & Luk van Wassenhove (2001). The Domain and Interpretation of Utility Functions: An Exploration. Theory and Decision 51 (2/4):329-349.
Rolf Aaberge (2011). Empirical Rules of Thumb for Choice Under Uncertainty. Theory and Decision 71 (3):431-438.
George Wu (1999). Anxiety and Decision Making with Delayed Resolution of Uncertainty. Theory and Decision 46 (2):159-199.
Teddy Seidenfeld, Extensions of Expected Utility Theory and Some Limitations of Pairwise Comparisons.
John Quiggin (2001). Production Under Uncertainty and Choice Under Uncertainty in the Emergence of Generalized Expected Utility Theory. Theory and Decision 51 (2/4):125-144.
Stephen A. Clark (2000). Revealed Preference and Expected Utility. Theory and Decision 49 (2):159-174.
Added to index2009-03-14
Total downloads45 ( #92,480 of 1,902,195 )
Recent downloads (6 months)15 ( #47,371 of 1,902,195 )
How can I increase my downloads?