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Dynamic Unawareness and Rationalizable Behavior

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  • Martin Meier
  • Burkhard C. Schipper
  • Aviad Heifetz

    (Department of Economics, University of California Davis)

Abstract

We define generalized extensive-form games which allow for mutual unawareness of actions. We extend Pearce's (1984) notion of extensive-form (correlated) rationalizability to this setting, explore its properties and prove existence. We define also a new variant of this solution concept, prudent rationalizability, which refines the set of outcomes induced by extensive-form rationalizable strategies. Finally, we define the normal form of a generalized extensive-form game, and characterize in it extensive-form rationalizability by iterative conditional dominance.

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Bibliographic Info

Paper provided by University of California, Davis, Department of Economics in its series Working Papers with number 910.

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Length: 57
Date of creation: 29 Oct 2009
Date of revision:
Handle: RePEc:cda:wpaper:09-10

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Related research

Keywords: Unawareness; extensive-form games; extensive-form rationalizability; prudent rationalizability; iterative conditional dominance;

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References

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  3. KOHLBERG, Elon & MERTENS, Jean-François, . "On the strategic stability of equilibria," CORE Discussion Papers RP -716, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. 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).
  5. Vincent P. Crawford & Nagore Iriberri, 2007. "Level-k Auctions: Can a Nonequilibrium Model of Strategic Thinking Explain the Winner's Curse and Overbidding in Private-Value Auctions?," Econometrica, Econometric Society, vol. 75(6), pages 1721-1770, November.
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Citations

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Cited by:
  1. Grant, Simon & Quiggin, John, 2012. "Inductive Reasoning About Unwareness," Risk and Sustainable Management Group Working Papers 151202, University of Queensland, School of Economics.
  2. Heinsalu, Sander, 2014. "Universal type structures with unawareness," Games and Economic Behavior, Elsevier, vol. 83(C), pages 255-266.
  3. Aviad Heifetz & Martin Meier & Burkhard Schipper, 2011. "Unawareness, Beliefs, and Speculative Trade," Working Papers 118, University of California, Davis, Department of Economics.
  4. Galanis, Spyros, 2007. "Unawareness of theorems," Discussion Paper Series In Economics And Econometrics 51816, Economics Division, School of Social Sciences, University of Southampton.
  5. Leandro Rêgo & Joseph Halpern, 2012. "Generalized solution concepts in games with possibly unaware players," International Journal of Game Theory, Springer, vol. 41(1), pages 131-155, February.
  6. Burkhard Schipper, 2010. "Revealed Unawareness," Working Papers 105, University of California, Davis, Department of Economics.
  7. Grant, Simon & Quiggin, John, 2012. "Bounded Awareness, Heuristics and the Precautionary Principle," Risk and Sustainable Management Group Working Papers 151203, University of Queensland, School of Economics.
  8. 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).
  9. Grant, Simon & Kline, J. Jude & Quiggin, John, 2012. "Differential awareness, ambiguity, and incomplete contracts: A model of contractual disputes," Journal of Economic Behavior & Organization, Elsevier, vol. 82(2), pages 494-504.
  10. Burkhard Schipper & Hee Yeul Woo, 2014. "Political Awareness, Microtargeting of Voters, and Negative Electoral Campaigning," Working Papers 148, University of California, Davis, Department of Economics.
  11. Feinberg, Yossi, 2012. "Games with Unawareness," Research Papers 2122, Stanford University, Graduate School of Business.
  12. Spyros Galanis, 2011. "Syntactic foundations for unawareness of theorems," Theory and Decision, Springer, vol. 71(4), pages 593-614, October.
  13. Schipper, Burkhard C, 2011. "Preference-Based Unawareness," MPRA Paper 30221, University Library of Munich, Germany.

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