Multiple priors and comparative ignorance

Abstract Fox and Tversky (1995) observe comparative ignorance: people are more ambiguity averse when they evaluate ambiguous and clear prospects jointly rather than in isolation. To accommodate such patterns, I relax the multiple priors model and allow subjective sets of priors to depend on partitions that are generated by feasible prospects. All sets of priors are derived uniquely on the corresponding partitions. This model violates transitivity, but preserves all other axioms of Gilboa and Schmeidler (1989). A parsimonious special case identifies a threshold partition π such that all π-measurable prospects are ranked via a set of priors P, but all other comparisons rely on a distinct set P ⁎ . Another refinement derives partition-dependent probabilistic beliefs without imposing ambiguity aversion.

[1]  Enrico Diecidue,et al.  Regret Theory: A New Foundation , 2015, J. Econ. Theory.

[2]  P. Slovic,et al.  Do ambiguity avoidance and the comparative ignorance hypothesis depend on people’s affective reactions? , 2010 .

[3]  Eddie Dekel An axiomatic characterization of preferences under uncertainty: Weakening the independence axiom , 1986 .

[4]  Igor Kopylov,et al.  Choice deferral and ambiguity aversion , 2009 .

[5]  Mark O. Riedl,et al.  Rationalization: A Neural Machine Translation Approach to Generating Natural Language Explanations , 2017, AIES.

[6]  Larry G. Epstein,et al.  Cold Feet , 1887, The Hospital.

[7]  P. Slovic,et al.  Reversals of preference between bids and choices in gambling decisions. , 1971 .

[8]  Ehud Lehrer,et al.  Justifiable Preferences , 2009, J. Econ. Theory.

[9]  Craig R. Fox,et al.  Ambiguity Aversion and Comparative Ignorance , 1995 .

[10]  Soo Hong Chew,et al.  Small worlds: Modeling attitudes toward sources of uncertainty , 2008, J. Econ. Theory.

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

[12]  A. Tversky,et al.  Support theory: A nonextensional representation of subjective probability. , 1994 .

[13]  Rakesh K. Sarin,et al.  Comparative Ignorance and the Ellsberg Paradox , 2001 .

[14]  W. van den Bos Ambiguity Aversion , 2020, Encyclopedia of Personality and Individual Differences.

[15]  Erkut Y. Ozbay,et al.  Revealed Attention , 2009 .

[16]  Peter C. Fishburn,et al.  Non-transitive measurable utility for decision under uncertainty , 1989 .

[17]  R. Dhar Consumer Preference for a No-Choice Option , 1997 .

[18]  K. Stanovich,et al.  Individual differences in reasoning: Implications for the rationality debate? , 2000, Behavioral and Brain Sciences.

[19]  Paola Manzini,et al.  Sequentially Rationalizable Choice , 2007 .

[20]  David S. Ahn,et al.  Framing Contingencies ∗ , 2007 .

[21]  Jacob S. Sagi,et al.  You Need to Recognise Ambiguity to Avoid it , 2018 .

[22]  B. Fischhoff,et al.  Fault trees: Sensitivity of estimated failure probabilities to problem representation. , 1978 .

[23]  Thomas Langer,et al.  How psychological framing affects economic market prices in the lab and field , 2013, Proceedings of the National Academy of Sciences.

[24]  C. Fox,et al.  Forecasting Trial Outcomes: Lawyers Assign Higher Probability to Possibilities That Are Described in Greater Detail , 2002, Law and human behavior.

[25]  A. Tversky,et al.  Extensional versus intuitive reasoning: the conjunction fallacy in probability judgment , 1983 .

[26]  Gur Huberman,et al.  How Much Choice is Too Much?: Contributions to 401(k) Retirement Plans , 2003 .

[27]  C. Anderson The Psychology of Doing Nothing: Forms of Decision Avoidance Result from Reason and Emotion , 2003, Psychological bulletin.

[28]  T. Gilovich,et al.  Effect of temporal perspective on subjective confidence. , 1993, Journal of personality and social psychology.

[29]  Ferdinand M. Vieider,et al.  Preference Reversals for Ambiguity Aversion , 2011, Manag. Sci..

[30]  Yusufcan Masatlioglu,et al.  Rational choice with status quo bias , 2005, J. Econ. Theory.

[31]  David M. Kreps Notes On The Theory Of Choice , 1988 .

[32]  Robert Sugden,et al.  An Axiomatic Foundation for Regret Theory , 1993 .

[33]  A. Tversky,et al.  Choice under Conflict: The Dynamics of Deferred Decision , 1992 .

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

[35]  Edi Karni,et al.  Preference reversal and the observability of preferences by experimental methods , 1987 .

[36]  Craig R. Fox,et al.  Ambiguity Aversion, Comparative Ignorance, and Decision Context , 2002 .