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On epistemic conditions for correlated rationalizability in networks

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  • Sugiura, Shinya

Abstract

We develop an epistemic foundation for correlated rationalizability within a network framework, in which epistemic conditions are imposed locally between neighboring pairs of players. Our conditions do not require mutual knowledge of rationality across the entire network, a common prior, or network connectivity, thereby generalizing the results of Zambrano (2008) and Tsakas (2013).

Suggested Citation

  • Sugiura, Shinya, 2025. "On epistemic conditions for correlated rationalizability in networks," Economics Letters, Elsevier, vol. 256(C).
    • Handle: RePEc:eee:ecolet:v:256:y:2025:i:c:s0165176525004641
    DOI: 10.1016/j.econlet.2025.112627
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    References listed on IDEAS

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    1. Bach, Christian W. & Tsakas, Elias, 2014. "Pairwise epistemic conditions for Nash equilibrium," Games and Economic Behavior, Elsevier, vol. 85(C), pages 48-59.
    2. 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..
    3. Tsakas, Elias, 2013. "Pairwise epistemic conditions for correlated rationalizability," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 379-384.
    4. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-1050, July.
    5. Zambrano, Eduardo, 2008. "Epistemic conditions for rationalizability," Games and Economic Behavior, Elsevier, vol. 63(1), pages 395-405, May.
    6. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-1028, July.
    7. Robert Aumann & Adam Brandenburger, 2014. "Epistemic Conditions for Nash Equilibrium," World Scientific Book Chapters, in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 5, pages 113-136, World Scientific Publishing Co. Pte. Ltd..
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