Interim correlated rationalizability in large games

Fuente: arXiv
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Main Authors: Balbus, Lukasz, Greinecker, Michael, Reffett, Kevin, Wozny, Lukasz
Format: Preprint
Published: 2025
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author Balbus, Lukasz
Greinecker, Michael
Reffett, Kevin
Wozny, Lukasz
author_facet Balbus, Lukasz
Greinecker, Michael
Reffett, Kevin
Wozny, Lukasz
contents We provide general theoretical foundations for modeling strategic uncertainty in large distributional Bayesian games with general type spaces, using a version of interim correlated rationalizability. We then focus on the case in which payoff functions are supermodular in actions, as is common in the literature on global games. This structure allows us to identify extremal interim correlated rationalizable solutions with extremal interim Bayes-Nash equilibria. Notably, no order structure on types is assumed. We illustrate our framework and results using the large versions of the electronic mail game and a global game.
format Preprint
id arxiv_https___arxiv_org_abs_2506_18426
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Interim correlated rationalizability in large games
Balbus, Lukasz
Greinecker, Michael
Reffett, Kevin
Wozny, Lukasz
Theoretical Economics
We provide general theoretical foundations for modeling strategic uncertainty in large distributional Bayesian games with general type spaces, using a version of interim correlated rationalizability. We then focus on the case in which payoff functions are supermodular in actions, as is common in the literature on global games. This structure allows us to identify extremal interim correlated rationalizable solutions with extremal interim Bayes-Nash equilibria. Notably, no order structure on types is assumed. We illustrate our framework and results using the large versions of the electronic mail game and a global game.
title Interim correlated rationalizability in large games
topic Theoretical Economics
url https://arxiv.org/abs/2506.18426