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A Canonical Model for Interactive Unawareness

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  • Heifetz, Aviad
  • Meier, Martin
  • Schipper, Burkhard C.

Abstract

Heifetz, Meier and Schipper (2005) introduced a generalized state-space model that allows for non-trivial unawareness among several individuals and strong properties of knowledge. We show that this generalized state-space model arises naturally if states consist of maximally consistent sets of formulas in an appropriate logical formulation.

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Bibliographic Info

Paper provided by Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich in its series Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems with number 60.

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Date of creation: Sep 2005
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Handle: RePEc:trf:wpaper:60

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Keywords: unawareness; awareness; knowledge; interactive epistemology; modal logic; lack of conception; bounded perception;

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References

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  1. Joseph Y. Halpern, 2000. "Alternative Semantics for Unawareness," Game Theory and Information, EconWPA 0004010, EconWPA.
  2. Robert J. Aumann, 1999. "Interactive epistemology I: Knowledge," International Journal of Game Theory, Springer, Springer, vol. 28(3), pages 263-300.
  3. Feinberg, Yossi, 2004. "Subjective Reasoning--Games with Unawareness," Research Papers 1875, Stanford University, Graduate School of Business.
  4. HEIFETZ, Aviad & MEIER, Martin & SCHIPPER, Burkhard C., 2004. "Interactive unawareness," CORE Discussion Papers, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) 2004059, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. Halpern, Joseph Y. & Rego, Leandro Chaves, 2008. "Interactive unawareness revisited," Games and Economic Behavior, Elsevier, Elsevier, vol. 62(1), pages 232-262, January.
  6. Ewerhart, Christian, 2001. "Heterogeneous Awareness and the Possibility of Agreement," Sonderforschungsbereich 504 Publications, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim 01-30, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
  7. Jernej Copic & Andrea Galeotti, 2006. "Awareness as an Equilibrium Notion: Normal-Form Games," Economics Discussion Papers, University of Essex, Department of Economics 614, University of Essex, Department of Economics.
  8. Galanis, Spyros, 2007. "Unawareness of theorems," Discussion Paper Series In Economics And Econometrics 51816, Economics Division, School of Social Sciences, University of Southampton.
  9. Eddie Dekel & Barton L. Lipman & Aldo Rustichini, 1998. "Standard State-Space Models Preclude Unawareness," Econometrica, Econometric Society, Econometric Society, vol. 66(1), pages 159-174, January.
  10. Ronald Fagin & Joseph Y. Halpern & Yoram Moses & Moshe Y. Vardi, 2003. "Reasoning About Knowledge," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262562006, December.
  11. Modica, Salvatore & Rustichini, Aldo, 1999. "Unawareness and Partitional Information Structures," Games and Economic Behavior, Elsevier, Elsevier, vol. 27(2), pages 265-298, May.
  12. Feinberg, Yossi, 2005. "Games with Incomplete Awareness," Research Papers 1894, Stanford University, Graduate School of Business.
  13. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2007. "Unawareness, Beliefs and Games," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 196, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
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