Catch games: the impact of modeling decisions

János Flesch, Dries Vermeulen*, Anna Zseleva

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)513-541
Number of pages29
JournalInternational Journal of Game Theory
Issue number2
StatePublished - 1 Jun 2019
Externally publishedYes


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


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