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On the equivalence of large individualized and distributionalized games

Author

Listed:
  • Khan, Mohammed Ali

    (Department of Economics, Johns Hopkins University)

  • Rath, Kali P.

    (Department of Economics, University of Notre Dame)

  • Yu, Haomiao

    (Department of Economics, Ryerson University)

  • Zhang, Yongchao

    (School of Economics, Shanghai University of Finance and Economics)

Abstract

The theory of large one-shot simultaneous-play games with a bio-social typology has been presented in both the individualized and distributionalized forms, LIG and LDG respectively. Using an example of an LDG with two actions and a single trait in which some Nash equilibrium distributions cannot be induced by the Nash equilibria of the representing LIG, this paper offers three equivalence results that delineate a relationship between the two game-forms. Our analysis also reveals the different roles that the Lebesgue unit interval and a saturated space play in the theory.

Suggested Citation

  • Khan, Mohammed Ali & Rath, Kali P. & Yu, Haomiao & Zhang, Yongchao, 2017. "On the equivalence of large individualized and distributionalized games," Theoretical Economics, Econometric Society, vol. 12(2), May.
    • Handle: RePEc:the:publsh:1806
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    References listed on IDEAS

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    Cited by:

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    2. Carmona, Guilherme & Podczeck, Konrad, 2020. "Pure strategy Nash equilibria of large finite-player games and their relationship to non-atomic games," Journal of Economic Theory, Elsevier, vol. 187(C).

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    More about this item

    Keywords

    Distributionalized games; individualized games; Nash equilibrium distribution; Nash equilibrium; representation; equivalence; weak-equivalence; quasi-equivalence; realization; similarity; symmetry; countability; saturation;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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