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Revealed Unawareness

  • Burkhard Schipper

    (Department of Economics, University of California Davis)

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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File URL: http://wp.econ.ucdavis.edu/10-5.pdf
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Paper provided by University of California, Davis, Department of Economics in its series Working Papers with number 105.

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Length: 29
Date of creation: 18 Mar 2010
Date of revision:
Handle: RePEc:cda:wpaper:10-5
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  1. Halpern, Joseph Y. & Rego, Leandro Chaves, 2008. "Interactive unawareness revisited," Games and Economic Behavior, Elsevier, vol. 62(1), pages 232-262, January.
  2. Halpern, Joseph Y., 2001. "Alternative Semantics for Unawareness," Games and Economic Behavior, Elsevier, vol. 37(2), pages 321-339, November.
  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. Spyros Galanis, 2013. "Unawareness of theorems," Economic Theory, Springer, vol. 52(1), pages 41-73, January.
  5. Blume, Lawrence & Easley, David & Halpern, Joseph Y., 2009. "Constructive Decision Theory," Economics Series 246, Institute for Advanced Studies.
  6. Burkhard C. Schipper & Martin Meier & Aviad Heifetz, 2005. "A Canonical Model for Interactive Unawareness," Working Papers 57, University of California, Davis, Department of Economics.
  7. Aviad Heifetz & Martin Meier & Burkhard C. Schipper, 2009. "Unawareness, Beliefs and Speculative Trade," Working Papers 920, University of California, Davis, Department of Economics.
  8. Li, Jing, 2009. "Information structures with unawareness," Journal of Economic Theory, Elsevier, vol. 144(3), pages 977-993, May.
  9. Martin Meier & Burkhard Schipper, 2013. "Bayesian Games with Unawareness and Unawareness Perfection," Working Papers 139, University of California, Davis, Department of Economics.
  10. Aviad Heifetz & Martin Meier & Burkhard Schipper, 2011. "Dynamic unawareness and rationalizable behavior," Working Papers 113, University of California, Davis, Department of Economics.
  11. 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.
  12. Grant, Simon & Quiggin, John, 2008. "Bounded Rationality and Small Worlds," Risk and Sustainable Management Group Working Papers 151187, University of Queensland, School of Economics.
  13. Oliver Board, 2008. "Object-Based Unawareness: Theory and Applications," Working Papers 378, University of Pittsburgh, Department of Economics, revised Mar 2009.
  14. 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.
  15. Epstein, Larry G. & Marinacci, Massimo & Seo, Kyoungwon, 2007. "Coarse contingencies and ambiguity," Theoretical Economics, Econometric Society, vol. 2(4), December.
  16. Eddie Dekel & Barton L. Lipman & Aldo Rustichini, 1998. "Standard State-Space Models Preclude Unawareness," Econometrica, Econometric Society, vol. 66(1), pages 159-174, January.
  17. Martin Meier & Burkhard C. Schipper, 2013. "Speculative Trade under Unawareness: The Infinite Case," Working Papers 102, University of California, Davis, Department of Economics.
  18. Modica, Salvatore & Rustichini, Aldo, 1999. "Unawareness and Partitional Information Structures," Games and Economic Behavior, Elsevier, vol. 27(2), pages 265-298, May.
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