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Interim correlated rationalizability in infinite games

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  • Weinstein, Jonathan
  • Yildiz, Muhamet

Abstract

In a Bayesian game, assume that the type space is a complete, separable metric space, the action space is a compact metric space, and the payoff functions are continuous. We show that the iterative and fixed-point definitions of interim correlated rationalizability (ICR) coincide, and ICR is non-empty-valued and upper hemicontinuous. This extends the finite-game results of Dekel et al. (2007), who introduced ICR. Our result applies, for instance, to discounted infinite-horizon dynamic games.

Suggested Citation

  • Weinstein, Jonathan & Yildiz, Muhamet, 2017. "Interim correlated rationalizability in infinite games," Journal of Mathematical Economics, Elsevier, vol. 72(C), pages 82-87.
    • Handle: RePEc:eee:mateco:v:72:y:2017:i:c:p:82-87
    DOI: 10.1016/j.jmateco.2017.07.002
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    References listed on IDEAS

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    3. Carmona, Guilherme, 2018. "On the generic robustness of solution concepts to incomplete information," Journal of Mathematical Economics, Elsevier, vol. 75(C), pages 13-18.
    4. Xiao Luo & Xuewen Qian & Chen Qu, 2020. "Iterated elimination procedures," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(2), pages 437-465, September.

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    Keywords

    Rationalizability; Incomplete information;

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