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In a model with finite type and action spaces, we provide a characterization of limits of sequences of Bayes-Nash equilibria as the number of players goes to infinity. Based on this, we show that strict pure-strategy Bayes\u2013Nash equilibria exist in all sufficiently large finite-player games for generic distributions of players\u2019 payoff functions and type distributions.<\/jats:p>","DOI":"10.1007\/s00182-025-00932-8","type":"journal-article","created":{"date-parts":[[2025,2,25]],"date-time":"2025-02-25T09:36:33Z","timestamp":1740476193000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Large incomplete-information games with independent types"],"prefix":"10.1007","volume":"54","author":[{"given":"Guilherme","family":"Carmona","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Konrad","family":"Podczeck","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,2,25]]},"reference":[{"key":"932_CR1","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.geb.2007.11.002","volume":"64","author":"N Al-Najjar","year":"2008","unstructured":"Al-Najjar N (2008) Large games and the law of large numbers. 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