Catch games: the impact of modeling decisions

János Flesch (), Dries Vermeulen and Anna Zseleva ()
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János Flesch: Maastricht University
Anna Zseleva: Higher School of Economics

International Journal of Game Theory, 2019, vol. 48, issue 2, No 9, 513-541

Abstract: 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.

Keywords: Infinite games; Two-person zero sum games; Countably additive strategies; Sigma algebras; Set theory; Finitely additive strategies (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s00182-018-0640-z

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