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Dynamic Unawareness and Rationalizable Behavior

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

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.

Suggested Citation

  • Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C, 2009. "Dynamic Unawareness and Rationalizable Behavior," MPRA Paper 15058, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:15058
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Spyros Galanis, 2013. "Unawareness of theorems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 41-73, January.
    2. Burkhard Schipper & Hee Yeul Woo, 2012. "Political Awareness and Microtargeting of Voters in Electoral Competition," Working Papers 124, University of California, Davis, Department of Economics.
    3. repec:kap:theord:v:83:y:2017:i:2:d:10.1007_s11238-017-9594-z is not listed on IDEAS
    4. Burkhard Schipper, 2017. "Kuhn's Theorem for Extensive Games with Unawareness," Working Papers 176, University of California, Davis, Department of Economics.
    5. Burkhard Schipper, 2010. "Revealed Unawareness," Working Papers 105, University of California, Davis, Department of Economics.
    6. Heinsalu, Sander, 2014. "Universal type structures with unawareness," Games and Economic Behavior, Elsevier, vol. 83(C), pages 255-266.
    7. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2013. "Unawareness, beliefs, and speculative trade," Games and Economic Behavior, Elsevier, vol. 77(1), pages 100-121.
    8. Yasuo Sasaki, 2016. "An Equivalence Result on the Reduction of Games with Unawareness," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(03), pages 1-27, September.
    9. Schipper, Burkhard C, 2011. "Preference-Based Unawareness," MPRA Paper 30221, University Library of Munich, Germany.
    10. John Quiggin, 2016. "The value of information and the value of awareness," Theory and Decision, Springer, vol. 80(2), pages 167-185, February.
    11. repec:spr:annopr:v:256:y:2017:i:2:d:10.1007_s10479-016-2266-5 is not listed on IDEAS
    12. Yusufcan Masatlioglu & Daisuke Nakajima & Erkut Y. Ozbay, 2012. "Revealed Attention," American Economic Review, American Economic Association, vol. 102(5), pages 2183-2205, August.
    13. Martin Meier & Burkhard Schipper, 2014. "Bayesian games with unawareness and unawareness perfection," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(2), pages 219-249, June.
    14. Karni, Edi & Vierø, Marie-Louise, 2017. "Awareness of unawareness: A theory of decision making in the face of ignorance," Journal of Economic Theory, Elsevier, vol. 168(C), pages 301-328.
    15. Simon Grant & John Quiggin, 2013. "Inductive reasoning about unawareness," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 717-755, November.
    16. Feinberg, Yossi, 2012. "Games with Unawareness," Research Papers 2122, Stanford University, Graduate School of Business.
    17. Spyros Galanis, 2011. "Syntactic foundations for unawareness of theorems," Theory and Decision, Springer, vol. 71(4), pages 593-614, October.
    18. 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.
    19. Mikaël Cozic, 2016. "Probabilistic Unawareness," Games, MDPI, Open Access Journal, vol. 7(4), pages 1-24, November.
    20. 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).
    21. 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.
    22. Grant, Simon & Quiggin, John, 2013. "Bounded awareness, heuristics and the Precautionary Principle," Journal of Economic Behavior & Organization, Elsevier, vol. 93(C), pages 17-31.
    23. Ying-Ju Chen & Xiaojian Zhao, 2013. "Solution Concepts of Principal-Agent Models with Unawareness of Actions," Games, MDPI, Open Access Journal, vol. 4(3), pages 1-24, August.
    24. Wenjun Ma & Burkhard C. Schipper, 2017. "Does exposure to unawareness affect risk preferences? A preliminary result," Theory and Decision, Springer, vol. 83(2), pages 245-257, August.
    25. Leandro Rêgo & Joseph Halpern, 2012. "Generalized solution concepts in games with possibly unaware players," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(1), pages 131-155, February.

    More about this item

    Keywords

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

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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