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the result to the definition of a solution concept (in the spirit of rationalizability) for strategic-form games. …
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we prove that defining consumers' preferences over budget sets is both necessary and sufficient to make every fully informative and finite set of observed consumption choices rationalizable by a collection of preferences which are transitive, complete, and monotone with respect to own...
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that satisfy Savage's axiom P3. The result has implications also for rationalizability in strategic games. …
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We extend the result from Bossert and Sprumont (2013) that every single-valued choice function is backwards-induction rationalizable via strict preferences to the case of choice correspondences via weak preferences.
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