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Admissibility and common belief

Author

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  • Asheim,G.B.
  • Dufwenberg,M.

    (University of Oslo, Department of Economics)

Abstract

The concept of ‘fully permissible sets ’ is defined by an algorithm that eliminate strategy subset . It is characterized as choice sets when there is common certain belief of the event that each player prefer one strategy to another if and only if the former weakly dominate the latter on the sets of all opponent strategie or on the union of the choice sets that are deemed possible for the opponent. the concept refines the Dekel-Fudenberg procedure and captures aspects of forward induction.
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Suggested Citation

  • Asheim,G.B. & Dufwenberg,M., 2000. "Admissibility and common belief," Memorandum 07/2000, Oslo University, Department of Economics.
  • Handle: RePEc:hhs:osloec:2000_007
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    References listed on IDEAS

    as
    1. Battigalli, Pierpaolo, 1996. "Strategic Rationality Orderings and the Best Rationalization Principle," Games and Economic Behavior, Elsevier, vol. 13(2), pages 178-200, April.
    2. Borgers Tilman, 1994. "Weak Dominance and Approximate Common Knowledge," Journal of Economic Theory, Elsevier, vol. 64(1), pages 265-276, October.
    3. Asheim, Geir B. & Perea, Andres, 2005. "Sequential and quasi-perfect rationalizability in extensive games," Games and Economic Behavior, Elsevier, vol. 53(1), pages 15-42, October.
    4. Samuelson, L., 1989. "Dominated Strategies And Common Knowledge," Papers 5-89-6, Pennsylvania State - Department of Economics.
    5. Johansen, Soren, 2002. "A small sample correction for tests of hypotheses on the cointegrating vectors," Journal of Econometrics, Elsevier, pages 195-221.
    6. Asheim,G.B., 1999. "Proper consistency," Memorandum 31/1999, Oslo University, Department of Economics.
    7. Basu, Kaushik & Weibull, Jorgen W., 1991. "Strategy subsets closed under rational behavior," Economics Letters, Elsevier, pages 141-146.
    8. Adam Brandenburger & Eddie Dekel, 2014. "Hierarchies of Beliefs and Common Knowledge," World Scientific Book Chapters,in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 2, pages 31-41 World Scientific Publishing Co. Pte. Ltd..
    9. Tan, Tommy Chin-Chiu & da Costa Werlang, Sergio Ribeiro, 1988. "The Bayesian foundations of solution concepts of games," Journal of Economic Theory, Elsevier, vol. 45(2), pages 370-391, August.
    10. Christian Ewerhart, 1998. "Rationality and the definition of consistent pairs," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(1), pages 49-59.
    11. Dekel, Eddie & Fudenberg, Drew, 1990. "Rational behavior with payoff uncertainty," Journal of Economic Theory, Elsevier, vol. 52(2), pages 243-267, December.
    12. Epstein, Larry G & Wang, Tan, 1996. ""Beliefs about Beliefs" without Probabilities," Econometrica, Econometric Society, vol. 64(6), pages 1343-1373, November.
    13. Borgers, Tilman & Samuelson, Larry, 1992. ""Cautious" Utility Maximization and Iterated Weak Dominance," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(1), pages 13-25.
    14. Lawrence Blume & Adam Brandenburger & Eddie Dekel, 2014. "Lexicographic Probabilities and Choice Under Uncertainty," World Scientific Book Chapters,in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 6, pages 137-160 World Scientific Publishing Co. Pte. Ltd..
    15. Marco Mariotti, 1997. "Decisions in games: why there should be a special exemption from Bayesian rationality," Journal of Economic Methodology, Taylor & Francis Journals, pages 43-60.
    16. Battigalli, Pierpaolo, 1997. "On Rationalizability in Extensive Games," Journal of Economic Theory, Elsevier, vol. 74(1), pages 40-61, May.
    17. Geir B. Asheim & Martin Dufwenberg, 2003. "Deductive Reasoning in Extensive Games," Economic Journal, Royal Economic Society, vol. 113(487), pages 305-325, April.
    18. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-1028, July.
    19. Geir B. Asheim, 2002. "Proper rationalizability in lexicographic beliefs," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(4), pages 453-478.
    20. Elchanan Ben-Porath, 1997. "Rationality, Nash Equilibrium and Backwards Induction in Perfect-Information Games," Review of Economic Studies, Oxford University Press, vol. 64(1), pages 23-46.
    21. van Damme, Eric, 1989. "Stable equilibria and forward induction," Journal of Economic Theory, Elsevier, pages 476-496.
    22. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-1050, July.
    23. Blume, Lawrence & Brandenburger, Adam & Dekel, Eddie, 1991. "Lexicographic Probabilities and Equilibrium Refinements," Econometrica, Econometric Society, vol. 59(1), pages 81-98, January.
    24. Battigalli, Pierpaolo & Siniscalchi, Marciano, 2002. "Strong Belief and Forward Induction Reasoning," Journal of Economic Theory, Elsevier, vol. 106(2), pages 356-391, October.
    25. P. Battigalli & M. Siniscalchi, 1999. "Interactive Beliefs and Forward Induction," Princeton Economic Theory Papers 99f3, Economics Department, Princeton University.
    26. Asheim, Geir B., 2002. "On the epistemic foundation for backward induction," Mathematical Social Sciences, Elsevier, vol. 44(2), pages 121-144, November.
    27. Rajan, Uday, 1998. "Trembles in the Bayesian Foundations of Solution Concepts of Games," Journal of Economic Theory, Elsevier, vol. 82(1), pages 248-266, September.
    28. Hurkens, Sjaak, 1996. "Multi-sided Pre-play Communication by Burning Money," Journal of Economic Theory, Elsevier, vol. 69(1), pages 186-197, April.
    29. Samuelson, Larry, 1992. "Dominated strategies and common knowledge," Games and Economic Behavior, Elsevier, vol. 4(2), pages 284-313, April.
    30. Epstein, Larry G., 1997. "Preference, Rationalizability and Equilibrium," Journal of Economic Theory, Elsevier, vol. 73(1), pages 1-29, March.
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    Cited by:

    1. Asheim,G.B., 1999. "Proper consistency," Memorandum 31/1999, Oslo University, Department of Economics.
    2. Adam Brandenburger & Amanda Friedenberg, 2014. "Self-Admissible Sets," World Scientific Book Chapters,in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 8, pages 213-249 World Scientific Publishing Co. Pte. Ltd..
    3. Cubitt, Robin P. & Sugden, Robert, 2014. "Common Reasoning In Games: A Lewisian Analysis Of Common Knowledge Of Rationality," Economics and Philosophy, Cambridge University Press, vol. 30(03), pages 285-329, November.
    4. Robin P. Cubitt & Robert Sugden, 2008. "Common reasoning in games," Discussion Papers 2008-01, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    5. Cubitt, Robin P. & Sugden, Robert, 2011. "The reasoning-based expected utility procedure," Games and Economic Behavior, Elsevier, vol. 71(2), pages 328-338, March.
    6. Ellingsen, Tore & Östling, Robert, 2011. "Strategic risk and coordination failure in blame games," Economics Letters, Elsevier, vol. 110(2), pages 90-92, February.
    7. Geir B. Asheim & Martin Dufwenberg, 2003. "Deductive Reasoning in Extensive Games," Economic Journal, Royal Economic Society, vol. 113(487), pages 305-325, April.
    8. Asheim, Geir B., 2002. "On the epistemic foundation for backward induction," Mathematical Social Sciences, Elsevier, vol. 44(2), pages 121-144, November.
    9. Martin Dufwenberg & Uri Gneezy & Jacob Goeree & Rosemarie Nagel, 2007. "Price floors and competition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), pages 211-224.
    10. Dekel, Eddie & Friedenberg, Amanda & Siniscalchi, Marciano, 2016. "Lexicographic beliefs and assumption," Journal of Economic Theory, Elsevier, vol. 163(C), pages 955-985.
    11. Geir B. Asheim & Wolfgang Buchholz, 2003. "The Malleability of Undiscounted Utilitarianism as a Criterion of Intergenerational Justice," Economica, London School of Economics and Political Science, pages 405-422.
    12. Asheim, Geir B. & Perea, Andrés, 2017. "Algorithms for cautious reasoning in games," Memorandum 10/2017, Oslo University, Department of Economics.
    13. Søvik, Ylva, 2009. "Strength of dominance and depths of reasoning--An experimental study," Journal of Economic Behavior & Organization, Elsevier, vol. 70(1-2), pages 196-205, May.
    14. Tsakas, Elias, 2014. "Epistemic equivalence of extended belief hierarchies," Games and Economic Behavior, Elsevier, vol. 86(C), pages 126-144.
    15. Asheim, Geir & Søvik, Ylva, 2003. "The semantics of preference-based belief operators," Memorandum 05/2003, Oslo University, Department of Economics.
    16. Battigalli, Pierpaolo & Siniscalchi, Marciano, 2002. "Strong Belief and Forward Induction Reasoning," Journal of Economic Theory, Elsevier, vol. 106(2), pages 356-391, October.
    17. Finn Førsund & Nikias Sarafoglou, 2002. "On the Origins of Data Envelopment Analysis," Journal of Productivity Analysis, Springer, pages 23-40.
    18. Asheim, Geir B. & Perea, Andres, 2005. "Sequential and quasi-perfect rationalizability in extensive games," Games and Economic Behavior, Elsevier, vol. 53(1), pages 15-42, October.
    19. Robin Cubitt & Robert Sugden, 2005. "Common reasoning in games: a resolution of the paradoxes of ‘common knowledge of rationality’," Discussion Papers 2005-17, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    20. Aviad Heifetz & Martin Meier & Burkhard Schipper, 2017. "Comprehensive Rationalizability," Working Papers 174, University of California, Davis, Department of Economics.
    21. Asheim, Geir B. & Sovik, Ylva, 2005. "Preference-based belief operators," Mathematical Social Sciences, Elsevier, vol. 50(1), pages 61-82, July.
    22. Janssen, Maarten C.W., 2006. "Auctions as coordination devices," European Economic Review, Elsevier, vol. 50(3), pages 517-532, April.
    23. Dekel, Eddie & Siniscalchi, Marciano, 2015. "Epistemic Game Theory," Handbook of Game Theory with Economic Applications, Elsevier.

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    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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