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Catch games: The impact of modeling decisions

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Abstract

We examine the guarantee levels of the players in a type of zero sum games. We show how these levels depend on the sigma algebras that are being employed on the players' action spaces. We further argue that guarantee levels may therefore also depend on set theoretic considerations. Additionally, we calculate the guarantee levels for finitely additive strategies. The solutions of catch games essentially differ among these setups. We find optimal strategies for almost all cases.

    Research areas

  • Infinite games, Two-person zero sum games, Countably additive strategies, Sigma algebras, Set theory, Finitely additive strategies, 2-PERSON
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Details

Original languageEnglish
Pages (from-to)513-541
Number of pages29
JournalInternational Journal of Game Theory
Volume48
Issue number2
Early online date19 Oct 2018
DOIs
Publication statusPublished - Jun 2019