Expected utility without parsimony

This paper seeks to interpret observable behavior and departures from Savage's model of Subjective Expected Utility (SEU) in terms of knowledge and belief. It is shown that observable behavior displays sensitivity to ambiguity if and only if knowledge and belief disagree. In addition, such an epistemic interpretation of ambiguity leads to dynamically consistent extensions of non-SEU preferences.

[1]  Barton L. Lipman,et al.  Decision Theory without Logical Omniscience : Toward an Axiomatic Framework for Bounded Rationality 1 , 1998 .

[2]  Itzhak Gilboa,et al.  Additive representations of non-additive measures and the choquet integral , 1994, Ann. Oper. Res..

[3]  J. Jaffray,et al.  Decision making with belief functions: Compatibility and incompatibility with the sure-thing principle , 1993 .

[4]  David M. Kreps Static choice in the presence of unforeseen contingencies , 1992 .

[5]  P. Hammond Consequentialist foundations for expected utility , 1988 .

[6]  Sujoy Mukerji,et al.  Understanding the nonadditive probability decision model , 1997 .

[7]  Jonathan Weinstein,et al.  THE AMBIGUITY AVERSION LITERATURE: A CRITICAL ASSESSMENT , 2009, Economics and Philosophy.

[8]  Barton L. Lipman,et al.  REPRESENTING PREFERENCES WITH A UNIQUE SUBJECTIVE STATE SPACE , 2001 .

[9]  Marie-Louise Vierø Exactly what happens after the Anscombe–Aumann race? , 2009 .

[10]  Klaus Nehring Capacities And Probabilistic Beliefs: A Precarious Coexistence , 1999 .

[11]  I. Gilboa,et al.  Maxmin Expected Utility with Non-Unique Prior , 1989 .

[12]  S. Morris The Logic of Belief and Belief Change: A Decision Theoretic Approach , 1996 .

[13]  M. Machina Dynamic Consistency and Non-expected Utility Models of Choice under Uncertainty , 1989 .

[14]  S. Morris Alternative Definitions of Knowledge , 1997 .

[15]  D. Ellsberg Decision, probability, and utility: Risk, ambiguity, and the Savage axioms , 1961 .

[16]  Adam Dominiak,et al.  Unambiguous events and dynamic Choquet preferences , 2011 .

[17]  Paolo Ghirardato,et al.  Revisiting Savage in a conditional world , 2002 .

[18]  A. Dominiak Epistemic Foundation of Decision Making under Ambiguity , 2008 .

[19]  F. J. Anscombe,et al.  A Definition of Subjective Probability , 1963 .

[20]  L. J. Savage,et al.  The Foundations of Statistics , 1955 .

[21]  Arthur P. Dempster,et al.  Upper and Lower Probabilities Induced by a Multivalued Mapping , 1967, Classic Works of the Dempster-Shafer Theory of Belief Functions.

[22]  F. Knight The economic nature of the firm: From Risk, Uncertainty, and Profit , 2009 .

[23]  Paolo Ghirardato,et al.  Coping with ignorance: unforeseen contingencies and non-additive uncertainty , 2001 .

[24]  Faruk Gul,et al.  Savagés theorem with a finite number of states , 1992 .

[25]  Glenn Shafer,et al.  A Mathematical Theory of Evidence , 2020, A Mathematical Theory of Evidence.

[26]  Peter J. Hammond,et al.  Consequentialism and the Independence Axiom , 1988 .

[27]  D. Ellsberg,et al.  Subjective Probability and Expected Utility without Additivity Author ( s ) : David Schmeidler Source : Econometrica , 1989 .

[28]  Massimo Marinacci,et al.  Ambiguity Made Precise: A Comparative Foundation , 1998, J. Econ. Theory.

[29]  Robert J. Aumann,et al.  Interactive epistemology I: Knowledge , 1999, Int. J. Game Theory.