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Subjective Reasoning--Games with Unawareness

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  • Feinberg, Yossi

    (Stanford U)

Abstract

The subjective framework for reasoning is extended to incorporate the representation of unawareness in games. Both unawareness of actions and decision makers are modeled as well as reasoning about others' unawareness. It is shown that a small grain of uncertainty about unawareness with rational decision makers can lead to cooperation in the finitely repeated prisoner's dilemma.

Suggested Citation

  • Feinberg, Yossi, 2004. "Subjective Reasoning--Games with Unawareness," Research Papers 1875, Stanford University, Graduate School of Business.
    • Handle: RePEc:ecl:stabus:1875
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    File URL: http://gsbapps.stanford.edu/researchpapers/detail1.asp?Document_ID=2584
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    Cited by:

    1. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2013. "Dynamic unawareness and rationalizable behavior," Games and Economic Behavior, Elsevier, vol. 81(C), pages 50-68.
    2. Oliver J. Board & Kim-Sau Chung, 2021. "Object-based unawareness: Axioms," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 6(1), pages 1-36, December.
    3. Oliver Board, 2006. "Object-Based Unawareness," Working Paper 245, Department of Economics, University of Pittsburgh, revised Jan 2006.
    4. 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;Game Theory Society, vol. 41(2), pages 325-329, May.
    5. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2008. "A canonical model for interactive unawareness," Games and Economic Behavior, Elsevier, vol. 62(1), pages 304-324, January.
    6. Kim-Sau Chung & Oliver Board, 2007. "Object-Based Unawareness," Working Papers 2007-2, University of Minnesota, Department of Economics, revised 24 Aug 2007.
    7. Blume, Lawrence & Easley, David & Halpern, Joseph Y., 2021. "Constructive decision theory," Journal of Economic Theory, Elsevier, vol. 196(C).
    8. Feinberg, Yossi, 2005. "Subjective reasoning--solutions," Games and Economic Behavior, Elsevier, vol. 52(1), pages 94-132, July.
    9. Perea, Andrés, 2022. "Common belief in rationality in games with unawareness," Mathematical Social Sciences, Elsevier, vol. 119(C), pages 11-30.
    10. Feinberg, Yossi, 2012. "Games with Unawareness," Research Papers 2122, Stanford University, Graduate School of Business.
    11. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2008. "A canonical model for interactive unawareness," Games and Economic Behavior, Elsevier, vol. 62(1), pages 304-324, January.
    12. Mengel, F. & Tsakas, E. & Vostroknutov, A., 2009. "Awareness in repeated games," Research Memorandum 010, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    13. Willemien Kets, 2012. "Bounded Reasoning and Higher-Order Uncertainty," Discussion Papers 1547, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    14. Galanis, Spyros, 2007. "Unawareness of theorems," Discussion Paper Series In Economics And Econometrics 51816, Economics Division, School of Social Sciences, University of Southampton.
    15. Feinberg, Yossi, 2005. "Subjective reasoning--dynamic games," Games and Economic Behavior, Elsevier, vol. 52(1), pages 54-93, July.
    16. Gossner, O. & Tsakas, E., 2010. "A reasoning approach to introspection and unawareness," Research Memorandum 006, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    17. Galanis, Spyros, 2013. "Trade and the value of information under unawareness," Discussion Paper Series In Economics And Econometrics 1313, Economics Division, School of Social Sciences, University of Southampton.
    18. Feinberg, Yossi, 2005. "Games with Incomplete Awareness," Research Papers 1894, Stanford University, Graduate School of Business.
    19. Aviad Heifetz & Willemien Kets, 2012. "All Types Naive and Canny," Discussion Papers 1550, Northwestern University, Center for Mathematical Studies in Economics and Management Science.

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