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Awareness-dependent subjective expected utility

  • Burkhard Schipper

    ()

We develop awareness-dependent subjective expected utility by taking unawareness structures introduced in Heifetz et al. (J Econ Theory 130:78–94, 2006 ; Games Econ Behav 62:304–324, 2008 ; Unawareness, beliefs, and speculative trade. University of California, Davis, 2011a ) as primitives in the Anscombe–Aumann approach to subjective expected utility. We observe that a decision maker is unaware of an event if and only if her choices reveal that the event is “null” and the negation of the event is “null”. Moreover, we characterize “impersonal” expected utility that is behaviorally indistinguishable from awareness-dependent subject expected utility and assigns probability zero to some subsets of states that are not necessarily events. We discuss in what sense probability zero can model unawareness. Copyright Springer-Verlag 2013

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File URL: http://hdl.handle.net/10.1007/s00182-012-0321-2
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Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 42 (2013)
Issue (Month): 3 (August)
Pages: 725-753

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Handle: RePEc:spr:jogath:v:42:y:2013:i:3:p:725-753
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  1. Burkhard C. Schipper & Martin Meier & Aviad Heifetz, 2005. "A Canonical Model for Interactive Unawareness," Working Papers 57, University of California, Davis, Department of Economics.
  2. Rubinstein, Ariel, 1991. "Comments on the Interpretation of Game Theory," Econometrica, Econometric Society, vol. 59(4), pages 909-24, July.
  3. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2005. "Interactive Unawareness," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 52, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
  4. Joseph Y. Halpern, 2000. "Alternative Semantics for Unawareness," Game Theory and Information 0004010, EconWPA.
  5. Oliver Board, 2008. "Object-Based Unawareness: Theory and Applications," Working Papers 378, University of Pittsburgh, Department of Economics, revised Mar 2009.
  6. Blume, Lawrence & Easley, David & Halpern, Joseph Y., 2009. "Constructive Decision Theory," Economics Series 246, Institute for Advanced Studies.
  7. Grant, Simon & Quiggin, John, 2012. "Inductive Reasoning About Unawareness," Risk and Sustainable Management Group Working Papers 151202, University of Queensland, School of Economics.
  8. Morris, Stephen, 1996. "The Logic of Belief and Belief Change: A Decision Theoretic Approach," Journal of Economic Theory, Elsevier, vol. 69(1), pages 1-23, April.
  9. Li, Jing, 2009. "Information structures with unawareness," Journal of Economic Theory, Elsevier, vol. 144(3), pages 977-993, May.
  10. Oliver Board & Kim-Sau Chung & Burkhard C. Schipper, 2008. "Two Models of Unawareness," Working Papers 379, University of Pittsburgh, Department of Economics, revised Mar 2009.
  11. Meier, Martin & Schipper, Burkhard C, 2010. "Speculative Trade under Unawareness: The Infinite Case," MPRA Paper 20632, University Library of Munich, Germany.
  12. Jing Li, 2008. "A Note on Unawareness and Zero Probability," PIER Working Paper Archive 08-022, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  13. Heinsalu, Sander, 2012. "Equivalence of the information structure with unawareness to the logic of awareness," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2453-2468.
  14. Halpern, Joseph Y. & Rego, Leandro Chaves, 2008. "Interactive unawareness revisited," Games and Economic Behavior, Elsevier, vol. 62(1), pages 232-262, January.
  15. David S. Ahn & Haluk Ergin, 2010. "Framing Contingencies," Econometrica, Econometric Society, vol. 78(2), pages 655-695, 03.
  16. Galanis, Spyros, 2007. "Unawareness of theorems," Discussion Paper Series In Economics And Econometrics 51816, Economics Division, School of Social Sciences, University of Southampton.
  17. Schipper, Burkhard C, 2011. "Preference-Based Unawareness," MPRA Paper 30221, University Library of Munich, Germany.
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