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Revealed Unawareness

  • Schipper, Burkhard C

I develop awareness-dependent subjective expected utility by taking unawareness structures introduced in Heifetz, Meier, and Schipper (2006, 2008, 2009) as primitives in the Anscombe-Aumann approach to subjective expected utility. I 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, I 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. I discuss in what sense impersonal expected utility can not represent unawareness.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 21491.

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Date of creation: 18 Mar 2010
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Handle: RePEc:pra:mprapa:21491
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  1. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C, 2009. "Unawareness, Beliefs and Speculative Trade," MPRA Paper 18437, University Library of Munich, Germany.
  2. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2005. "A Canonical Model for Interactive Unawareness," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 60, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
  3. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2006. "Interactive unawareness," Journal of Economic Theory, Elsevier, vol. 130(1), pages 78-94, September.
  4. Epstein, Larry G. & Marinacci, Massimo & Seo, Kyoungwon, 2007. "Coarse contingencies and ambiguity," Theoretical Economics, Econometric Society, vol. 2(4), December.
  5. Chew Soo Hong & Jacob S. Sagi, 2006. "Event Exchangeability: Probabilistic Sophistication Without Continuity or Monotonicity," Econometrica, Econometric Society, vol. 74(3), pages 771-786, 05.
  6. Galanis, Spyros, 2007. "Unawareness of theorems," Discussion Paper Series In Economics And Econometrics 51816, Economics Division, School of Social Sciences, University of Southampton.
  7. Grant, Simon & Quiggin, John, 2008. "Bounded Rationality and Small Worlds," Risk and Sustainable Management Group Working Papers 151187, University of Queensland, School of Economics.
  8. Joseph Y. Halpern, 2000. "Alternative Semantics for Unawareness," Game Theory and Information 0004010, EconWPA.
  9. Halpern, Joseph Y. & Rego, Leandro Chaves, 2008. "Interactive unawareness revisited," Games and Economic Behavior, Elsevier, vol. 62(1), pages 232-262, January.
  10. Aviad Heifetz & Martin Meier & Burkhard Schipper, 2011. "Dynamic unawareness and rationalizable behavior," Working Papers 113, University of California, Davis, Department of Economics.
  11. Martin Meier & Burkhard Schipper, 2013. "Bayesian Games with Unawareness and Unawareness Perfection," Working Papers 139, University of California, Davis, Department of Economics.
  12. Meier, Martin & Schipper, Burkhard C, 2010. "Speculative Trade under Unawareness: The Infinite Case," MPRA Paper 20632, University Library of Munich, Germany.
  13. Li, Jing, 2009. "Information structures with unawareness," Journal of Economic Theory, Elsevier, vol. 144(3), pages 977-993, May.
  14. repec:pit:wpaper:378 is not listed on IDEAS
  15. Blume, Lawrence & Easley, David & Halpern, Joseph Y., 2009. "Constructive Decision Theory," Economics Series 246, Institute for Advanced Studies.
  16. Kim-Sau Chung & Oliver Board, 2007. "Object-Based Unawareness," Working Papers 2007-2, University of Minnesota, Department of Economics, revised 24 Aug 2007.
  17. 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.
  18. Modica, Salvatore & Rustichini, Aldo, 1999. "Unawareness and Partitional Information Structures," Games and Economic Behavior, Elsevier, vol. 27(2), pages 265-298, May.
  19. Eddie Dekel & Barton L. Lipman & Aldo Rustichini, 1998. "Standard State-Space Models Preclude Unawareness," Econometrica, Econometric Society, vol. 66(1), pages 159-174, January.
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