The Maxmin Value of Repeated Games with Incomplete Information on One Side and Tail-Measurable Payoffs

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Hauptverfasser: Koltun, Gil Bar Castellon, Lehrer, Ehud, Solan, Eilon
Format: Preprint
Veröffentlicht: 2025
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author Koltun, Gil Bar Castellon
Lehrer, Ehud
Solan, Eilon
author_facet Koltun, Gil Bar Castellon
Lehrer, Ehud
Solan, Eilon
contents We study two-player zero-sum repeated games with incomplete information on one side, where the payoff function is tail measurable (and not necessarily the long-run average payoff). We show that the maxmin value equals the concavification of the value function of the non-revealing game. In addition, we provide an example demonstrating that, under tail-measurable payoffs, the value of the game may fail to exist.
format Preprint
id arxiv_https___arxiv_org_abs_2512_01581
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The Maxmin Value of Repeated Games with Incomplete Information on One Side and Tail-Measurable Payoffs
Koltun, Gil Bar Castellon
Lehrer, Ehud
Solan, Eilon
Optimization and Control
91A05, 91A10, 91A20, 91A27
We study two-player zero-sum repeated games with incomplete information on one side, where the payoff function is tail measurable (and not necessarily the long-run average payoff). We show that the maxmin value equals the concavification of the value function of the non-revealing game. In addition, we provide an example demonstrating that, under tail-measurable payoffs, the value of the game may fail to exist.
title The Maxmin Value of Repeated Games with Incomplete Information on One Side and Tail-Measurable Payoffs
topic Optimization and Control
91A05, 91A10, 91A20, 91A27
url https://arxiv.org/abs/2512.01581