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  1. Itzhak Gilboa, Andrew Postlewaite & David Schmeidler (forthcoming). Rationality of Belief. Synthese.
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  2. Alfredo Di Tillio, Itzhak Gilboa & Larry Samuelson (2013). The Predictive Role of Counterfactuals. Theory and Decision 74 (2):167-182.
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  3. Rossella Argenziano & Itzhak Gilboa (2012). History as a Coordination Device. Theory and Decision 73 (4):501-512.
    Coordination games often have multiple equilibria. The selection of equilibrium raises the question of belief formation: how do players generate beliefs about the behavior of other players? This article takes the view that the answer lies in history, that is, in the outcomes of similar coordination games played in the past, possibly by other players. We analyze a simple model in which a large population plays a game that exhibits strategic complementarities. We assume a dynamic process that faces different populations (...)
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  4. Itzhak Gilboa, Andrew Postlewaite & David Schmeidler (2012). Rationality of Belief Or: Why Savage's Axioms Are Neither Necessary nor Sufficient for Rationality. [REVIEW] Synthese 187 (1):11-31.
    Economic theory reduces the concept of rationality to internal consistency. As far as beliefs are concerned, rationality is equated with having a prior belief over a “Grand State Space”, describing all possible sources of uncertainties. We argue that this notion is too weak in some senses and too strong in others. It is too weak because it does not distinguish between rational and irrational beliefs. Relatedly, the Bayesian approach, when applied to the Grand State Space, is inherently incapable of describing (...)
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  5. Enriqueta Aragones, Itzhak Gilboa & Andrew Weiss (2011). Making Statements and Approval Voting. Theory and Decision 71 (4):461-472.
    We assume that people have a need to make statements, and construct a model in which this need is the sole determinant of voting behavior. In this model, an individual selects a ballot that makes as close a statement as possible to her ideal point, where abstaining from voting is a possible (null) statement. We show that in such a model, a political system that adopts approval voting may be expected to enjoy a significantly higher rate of participation in elections (...)
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  6. Itzhak Gilboa (2011). Why the Empty Shells Were Not Fired: A Semi-Bibliographical Note. Episteme 8 (3):301-308.
    This note documents Aumann's reason for omitting the “empty shells” argument for the common prior assumption from the final version of “Correlated Equilibrium as an Expression of Bayesian Rationality.” It then continues to discuss the argument and concludes that rational entities cannot learn their own identity; if they do not know it a priori, they never will.
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  7. Itzhak Gilboa (2010). Rational Choice. The Mit Press.
    A nontechnical, concise, and rigorous introduction to the rational choice paradigm,focusing on basic insights applicable in fields ranging from economics to philosophy.
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  8. Itzhak Gilboa, Offer Lieberman & David Schmeidler (2010). On the Definition of Objective Probabilities by Empirical Similarity. Synthese 172 (1):79 - 95.
    We suggest to define objective probabilities by similarity-weighted empirical frequencies, where more similar cases get a higher weight in the computation of frequencies. This formula is justified intuitively and axiomatically, but raises the question, which similarity function should be used? We propose to estimate the similarity function from the data, and thus obtain objective probabilities. We compare this definition to others, and attempt to delineate the scope of situations in which objective probabilities can be used.
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  9. Itzhak Gilboa, Andrew Postlewaite & David Schmeidler (2009). Is It Always Rational to Satisfy Savage's Axioms? Economics and Philosophy 25 (3):285-296.
    This note argues that, under some circumstances, it is more rational not to behave in accordance with a Bayesian prior than to do so. The starting point is that in the absence of information, choosing a prior is arbitrary. If the prior is to have meaningful implications, it is more rational to admit that one does not have sufficient information to generate a prior than to pretend that one does. This suggests a view of rationality that requires a compromise between (...)
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  10. Itzhak Gilboa & David Schmeidler (2004). Subjective Distributions. Theory and Decision 56 (4):345-357.
    A decision maker has to choose one of several random variables whose distributions are not known. As a Bayesian, she behaves as if she knew the distributions. In this paper we suggest an axiomatic derivation of these (subjective) distributions, which is more economical than the derivations by de Finetti or Savage. Whereas the latter derive the whole joint distribution of all the available random variables, our approach derives only the marginal distributions. Correspondingly, the preference questionnaire needed in our case is (...)
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  11. Itzhak Gilboa (1999). Can Free Choice Be Known. In Cristina Bicchieri, Richard C. Jeffrey & Brian Skyrms (eds.), The Logic of Strategy. Oxford University Press. 163--174.
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