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The individualistic foundation of equilibrium distribution

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  • Sun, Xiang
  • Sun, Yeneng
  • Yu, Haomiao

Abstract

This paper proposes a solution concept called the type-symmetric randomized equilibrium (TSRE), where agents with the same type of characteristics take the same randomized choice. It is shown that this solution concept provides a micro-foundation for the macro notion of equilibrium distribution for economies and games with many agents. In particular, any Walrasian (resp. Nash) equilibrium distribution in a large economy (resp. game) is shown to be uniquely determined by one TSRE if the agent space is modeled by the classical Lebesgue unit interval. The relationship of TSRE with other equilibrium notions is also established.

Suggested Citation

  • Sun, Xiang & Sun, Yeneng & Yu, Haomiao, 2020. "The individualistic foundation of equilibrium distribution," Journal of Economic Theory, Elsevier, vol. 189(C).
    • Handle: RePEc:eee:jetheo:v:189:y:2020:i:c:s0022053120300788
    DOI: 10.1016/j.jet.2020.105083
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    More about this item

    Keywords

    Equilibrium distribution; Large economy; Large game; Lebesgue unit interval; Type-symmetric randomized equilibrium; Rich Fubini extension;
    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

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