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Endogenous quantal response equilibrium

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  • Friedman, Evan

Abstract

We endogenize the precision parameter λ of logit quantal response equilibrium (LQRE). In the first stage of an endogenous quantal response equilibrium (EQRE), each player chooses her precision optimally subject to costs, taking as given other players’ (second-stage) behavior. In the second stage, the distribution of players’ actions is a heterogenous LQRE given the profile of first-stage precision choices. EQRE satisfies a modified version of the regularity axioms, nests LQRE as a limiting case for a sequence of cost functions, and admits analogues of classic results for LQRE such as those for equilibrium selection. We show how EQRE differs from LQRE using the family of generalized matching pennies games.

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  • Friedman, Evan, 2020. "Endogenous quantal response equilibrium," Games and Economic Behavior, Elsevier, vol. 124(C), pages 620-643.
    • Handle: RePEc:eee:gamebe:v:124:y:2020:i:c:p:620-643
    DOI: 10.1016/j.geb.2020.10.003
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    Cited by:

    1. Nunnari, Salvatore & Frydman, Cary, 2021. "Coordination with Cognitive Noise," CEPR Discussion Papers 16644, C.E.P.R. Discussion Papers.
    2. Matthew Kovach & Gerelt Tserenjigmid, 2023. "The Focal Quantal Response Equilibrium," Papers 2304.00438, arXiv.org.
    3. Benjamin Patrick Evans & Mikhail Prokopenko, 2021. "Bounded rationality for relaxing best response and mutual consistency: The Quantal Hierarchy model of decision-making," Papers 2106.15844, arXiv.org, revised Mar 2023.
    4. Benjamin Patrick Evans & Mikhail Prokopenko, 2024. "Bounded rationality for relaxing best response and mutual consistency: the quantal hierarchy model of decision making," Theory and Decision, Springer, vol. 96(1), pages 71-111, February.
    5. Emerson Melo, 2022. "On the uniqueness of quantal response equilibria and its application to network games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(3), pages 681-725, October.
    6. Guy Aridor & Rava Azeredo da Silveira & Michael Woodford, 2024. "Information-Constrained Coordination of Economic Behavior," CESifo Working Paper Series 10935, CESifo.
    7. Aridor, Guy & Azeredo da Silveira, Rava & Woodford, Michael, 2025. "Information-constrained coordination of economic behavior," Journal of Economic Dynamics and Control, Elsevier, vol. 172(C).

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    JEL classification:

    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior

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