Catch games: the impact of modeling decisions

János Flesch; Dries Vermeulen; Anna Zseleva

doi:10.1007/s00182-018-0640-z

Catch games: the impact of modeling decisions

János Flesch, Dries Vermeulen^*, Anna Zseleva

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	513-541
Number of pages	29
Journal	International Journal of Game Theory
Volume	48
Issue number	2
DOIs	https://doi.org/10.1007/s00182-018-0640-z
State	Published - 1 Jun 2019
Externally published	Yes

Keywords

Countably additive strategies
Finitely additive strategies
Infinite games
Set theory
Sigma algebras
Two-person zero sum games

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10.1007/s00182-018-0640-z

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Catch games: the impact of modeling decisions

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Keywords

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