Artikel
Subjective expected utility in games
This paper extends Savage's subjective approach to probability and utility from decision problems under exogenous uncertainty to choice in strategic environments. Interactive uncertainty is modeled both explicitly, using hierarchies of preference relations, the analogue of beliefs hierarchies, and implicitly, using preference structures, the analogue of type spaces a la Harsanyi, and it is shown that the two approaches are equivalent. Preference structures can be seen as those sets of hierarchies arising when certain restrictions on preferences, along with the players' common certainty of the restrictions, are imposed. Preferences are a priori assumed to satisfy only very mild properties (reflexivity, transitivity, and monotone continuity). Thus, the results provide a framework for the analysis of behavior in games under essentially any axiomatic structure. An explicit characterization is given for Savage's axioms, and it is shown that a hierarchy of relatively simple preference relations uniquely identifies the decision maker's utilities and beliefs of all orders. Connections with the literature on beliefs hierarchies and correlated equilibria are discussed.
- Sprache
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Englisch
- Erschienen in
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Journal: Theoretical Economics ; ISSN: 1555-7561 ; Volume: 3 ; Year: 2008 ; Issue: 3 ; Pages: 287-323 ; New York, NY: The Econometric Society
- Klassifikation
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Wirtschaft
Game Theory and Bargaining Theory: General
Information, Knowledge, and Uncertainty: General
Criteria for Decision-Making under Risk and Uncertainty
Asymmetric and Private Information; Mechanism Design
Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
- Thema
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Subjective probability
preference hierarchies
type spaces
beliefs hierarchies
common belief
expected utility
incomplete information
correlated equilibria
- Ereignis
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Geistige Schöpfung
- (wer)
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Di Tillio, Alfredo
- Ereignis
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Veröffentlichung
- (wer)
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The Econometric Society
- (wo)
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New York, NY
- (wann)
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2008
- Handle
- Letzte Aktualisierung
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10.03.2025, 11:42 MEZ
Datenpartner
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Objekttyp
- Artikel
Beteiligte
- Di Tillio, Alfredo
- The Econometric Society
Entstanden
- 2008
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