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A Canonical Model for Interactive Unawareness

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Author Info

  • Aviad Heifetz
  • Martin Meier
  • Burkhard C. Schipper

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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File URL: http://www.wiwi.uni-bonn.de/bgsepapers/bonedp/bgse23_2005.pdf
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Bibliographic Info

Paper provided by University of Bonn, Germany in its series Bonn Econ Discussion Papers with number bgse23_2005.

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Length: 26
Date of creation: Sep 2005
Date of revision:
Handle: RePEc:bon:bonedp:bgse23_2005

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Postal: Bonn Graduate School of Economics, University of Bonn, Adenauerallee 24 - 26, 53113 Bonn, Germany
Fax: +49 228 73 6884
Web page: http://www.bgse.uni-bonn.de

Related research

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

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References

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  1. Ewerhart, Christian, 2001. "Heterogeneous Awareness and the Possibility of Agreement," Sonderforschungsbereich 504 Publications 01-30, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim.
  2. Aviad Heifetz & Martin Meier & Burkhard C. Schipper, 2007. "Unawareness, Beliefs and Games," Bonn Econ Discussion Papers bgse6_2007, University of Bonn, Germany.
  3. Robert J. Aumann, 1999. "Interactive epistemology I: Knowledge," International Journal of Game Theory, Springer, vol. 28(3), pages 263-300.
  4. Feinberg, Yossi, 2004. "Subjective Reasoning--Games with Unawareness," Research Papers 1875, Stanford University, Graduate School of Business.
  5. Halpern, Joseph Y. & Rego, Leandro Chaves, 2008. "Interactive unawareness revisited," Games and Economic Behavior, Elsevier, vol. 62(1), pages 232-262, January.
  6. HEIFETZ, Aviad & MEIER, Martin & SCHIPPER, Burkhard C., 2004. "Interactive unawareness," CORE Discussion Papers 2004059, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. 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, January.
  8. Joseph Y. Halpern, 2000. "Alternative Semantics for Unawareness," Game Theory and Information 0004010, EconWPA.
  9. Jernej Copic & Andrea Galeotti, 2006. "Awareness as an Equilibrium Notion: Normal-Form Games," Economics Discussion Papers 614, University of Essex, Department of Economics.
  10. Modica, Salvatore & Rustichini, Aldo, 1999. "Unawareness and Partitional Information Structures," Games and Economic Behavior, Elsevier, vol. 27(2), pages 265-298, May.
  11. Eddie Dekel & Barton L. Lipman & Aldo Rustichini, 1998. "Standard State-Space Models Preclude Unawareness," Econometrica, Econometric Society, vol. 66(1), pages 159-174, January.
  12. Spyros Galanis, 2013. "Unawareness of theorems," Economic Theory, Springer, vol. 52(1), pages 41-73, January.
  13. Feinberg, Yossi, 2005. "Games with Incomplete Awareness," Research Papers 1894, Stanford University, Graduate School of Business.
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Citations

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Cited by:
  1. Halpern, Joseph Y. & Rêgo, Leandro C., 2013. "Reasoning about knowledge of unawareness revisited," Mathematical Social Sciences, Elsevier, vol. 65(2), pages 73-84.
  2. Burkhard Schipper, 2011. "Awareness-Dependent Subjective Expected Utility," Working Papers 1022, University of California, Davis, Department of Economics.
  3. Halpern, Joseph Y. & Rego, Leandro Chaves, 2008. "Interactive unawareness revisited," Games and Economic Behavior, Elsevier, vol. 62(1), pages 232-262, January.
  4. Schipper, Burkhard C, 2011. "Preference-Based Unawareness," MPRA Paper 30221, University Library of Munich, Germany.
  5. Burkhard C. Schipper & Oliver Board & Kim-Sau Chung, 2009. "Two Models of Unawareness: Comparing the object-based and subjective-state-space approaches," Working Papers 93, University of California, Davis, Department of Economics.
  6. Feinberg, Yossi, 2012. "Games with Unawareness," Research Papers 2122, Stanford University, Graduate School of Business.
  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. Heinsalu, Sander, 2014. "Universal type structures with unawareness," Games and Economic Behavior, Elsevier, vol. 83(C), pages 255-266.
  9. Yi-Chun Chen & Jeffrey Ely & Xiao Luo, 2012. "Note on unawareness: Negative Introspection versus AU Introspection (and KU Introspection)," International Journal of Game Theory, Springer, vol. 41(2), pages 325-329, May.
  10. Ekaterina Svetlova & Henk van Elst, 2012. "How is non-knowledge represented in economic theory?," Papers 1209.2204, arXiv.org.
  11. Gossner Olivier & Tsakas Elias, 2010. "A reasoning approach to introspection and unawareness," Research Memorandum 006, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  12. Burkhard Schipper, 2014. "Unawareness - A Gentle Introduction to both the Literature and the Special Issue," Working Papers 145, University of California, Davis, Department of Economics.
  13. Martin Meier & Burkhard Schipper, 2012. "Bayesian Games with Unawareness and Unawareness Perfection," Working Papers 129, University of California, Davis, Department of Economics.
  14. 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.
  15. Martin Meier & Burkhard C. Schipper, 2014. "Speculative Trade under Unawareness: The Infinite Case," Working Papers 102, University of California, Davis, Department of Economics.
  16. Schipper, Burkhard C, 2010. "Revealed Unawareness," MPRA Paper 21491, University Library of Munich, Germany.
  17. Sarah Auster, 2012. "Asymmetric Awareness and Moral Hazard," Economics Working Papers ECO2012/23, European University Institute.
  18. 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.
  19. Auster, Sarah, 2013. "Asymmetric awareness and moral hazard," Games and Economic Behavior, Elsevier, vol. 82(C), pages 503-521.

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