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Equivalence of the information structure with unawareness to the logic of awareness

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  • Heinsalu, Sander

Abstract

This paper proves the Li (2009) [13] unawareness structure equivalent to the single-agent propositionally generated logic of awareness of Fagin and Halpern (1988) [4]. For any model of one type one can construct a model of the other type describing the same belief and awareness. Li starts from an agent unable to perceive aspects of the world and distinguish states, modeled with subjective state spaces coarser than the objective state space. Fagin and Halpern limit the agentʼs language or cognitive ability to reasoning only about a subset of the primitive propositions describing the world. Equivalence of these approaches suggests they capture a natural notion of unawareness in a minimal way.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 147 (2012)
Issue (Month): 6 ()
Pages: 2453-2468

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Handle: RePEc:eee:jetheo:v:147:y:2012:i:6:p:2453-2468

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Web page: http://www.elsevier.com/locate/inca/622869

Related research

Keywords: Unawareness; Awareness; State space models; Modal logic; Information;

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References

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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. Li, Jing, 2009. "Information structures with unawareness," Journal of Economic Theory, Elsevier, vol. 144(3), pages 977-993, May.
  3. Halpern, Joseph Y. & Rêgo, Leandro C., 2009. "Reasoning about knowledge of unawareness," Games and Economic Behavior, Elsevier, vol. 67(2), pages 503-525, November.
  4. Modica, Salvatore & Rustichini, Aldo, 1999. "Unawareness and Partitional Information Structures," Games and Economic Behavior, Elsevier, vol. 27(2), pages 265-298, May.
  5. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2006. "Interactive unawareness," Journal of Economic Theory, Elsevier, vol. 130(1), pages 78-94, September.
  6. Joseph Y. Halpern, 2000. "Alternative Semantics for Unawareness," Game Theory and Information 0004010, EconWPA.
  7. Ahn, David S., 2007. "Hierarchies of ambiguous beliefs," Journal of Economic Theory, Elsevier, vol. 136(1), pages 286-301, September.
  8. Pierpaolo Battigalli, . "Hierarchies of Conditional Beliefs and Interactive Epistemology in Dynamic Games," Working Papers 111, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  9. Eddie Dekel & Barton L. Lipman & Aldo Rustichini, 1998. "Standard State-Space Models Preclude Unawareness," Econometrica, Econometric Society, vol. 66(1), pages 159-174, January.
  10. Halpern, Joseph Y. & Rego, Leandro Chaves, 2008. "Interactive unawareness revisited," Games and Economic Behavior, Elsevier, vol. 62(1), pages 232-262, January.
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Citations

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Cited by:
  1. Pintér, Miklós & Udvari, Zsolt, 2011. "Generalized type spaces," MPRA Paper 34107, University Library of Munich, Germany.
  2. Oliver Walker, 2011. "Unawareness with ‘possible’ possible worlds," Grantham Research Institute on Climate Change and the Environment Working Papers 69, Grantham Research Institute on Climate Change and the Environment.
  3. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2013. "Unawareness, beliefs, and speculative trade," Games and Economic Behavior, Elsevier, vol. 77(1), pages 100-121.
  4. Burkhard Schipper, 2011. "Awareness-Dependent Subjective Expected Utility," Working Papers 1022, University of California, Davis, Department of Economics.

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