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Point-Rationalizability in Large Games

Author

Listed:
  • Haomiao Yu

    (Department of Economics, Ryerson University, Toronto, Canada)

Abstract

In this paper, I characterize point-rationalizability in large non-anonymous games with three di erent formulations of societal responses, and also propose an implicit dynamic process that is informed by Guesnerie's eductive notions. Given the introspection and 'mentalizing' that the point-rationalizability notions presuppose, a motivation behind the work is to examine their viability in situations where the terms rationality and full information can be given a more parsimonious, and thereby more analytically viable, expression.

Suggested Citation

  • Haomiao Yu, 2012. "Point-Rationalizability in Large Games," Working Papers 030, Toronto Metropolitan University, Department of Economics.
    • Handle: RePEc:rye:wpaper:wp030
    as

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    File URL: https://www.arts.ryerson.ca/economics/repec/pdfs/wp030.pdf
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    References listed on IDEAS

    as
    1. Adam Brandenburger & Eddie Dekel, 2014. "Rationalizability and Correlated Equilibria," World Scientific Book Chapters, in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 3, pages 43-57, World Scientific Publishing Co. Pte. Ltd..
    2. Basu, Kaushik & Weibull, Jorgen W., 1991. "Strategy subsets closed under rational behavior," Economics Letters, Elsevier, vol. 36(2), pages 141-146, June.
    3. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-1028, July.
    4. Jeffrey Banks & John Duggan, 2006. "A Social Choice Lemma on Voting Over Lotteries with Applications to a Class of Dynamic Games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(2), pages 285-304, April.
    5. Robert J Aumann, 1999. "Agreeing to Disagree," Levine's Working Paper Archive 512, David K. Levine.
    6. Aumann, Robert J., 1976. "An elementary proof that integration preserves uppersemicontinuity," Journal of Mathematical Economics, Elsevier, vol. 3(1), pages 15-18, March.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Large games; Nash equilibria; point-rationalizability; closed under rational behavior (curb); societal response; distribution; integration; transformed statistics.;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General

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