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A Subjective Spin on Roulette Wheels
Author(s) -
Ghirardato Paolo,
Maccheroni Fabio,
Marinacci Massimo,
Siniscalchi Marciano
Publication year - 2003
Publication title -
econometrica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 16.7
H-Index - 199
eISSN - 1468-0262
pISSN - 0012-9682
DOI - 10.1111/1468-0262.00472
Subject(s) - roulette , statistics , econometrics , mathematical economics , mathematics , economics , statistical physics , computer science , physics , geometry
We provide a simple behavioral definition of ‘subjective mixture’ of acts for a large class of (not necessarily expected‐utility) preferences. Subjective mixtures enjoy the same algebraic properties as the ‘objective mixtures’ used to great advantage in the decision setting introduced by Anscombe and Aumann (1963). This makes it possible to formulate mixture‐space axioms in a fully subjective setting. For illustration, we present simple subjective axiomatizations of some models of choice under uncertainty, including Bewley's model of choice with incomplete preferences (2002).