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Catch games: the impact of modeling decisions

Author

Listed:
  • János Flesch

    (Maastricht University)

  • Dries Vermeulen

    (Maastricht University)

  • Anna Zseleva

    (Higher School of Economics)

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.

Suggested Citation

  • János Flesch & Dries Vermeulen & Anna Zseleva, 2019. "Catch games: the impact of modeling decisions," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(2), pages 513-541, June.
    • Handle: RePEc:spr:jogath:v:48:y:2019:i:2:d:10.1007_s00182-018-0640-z
    DOI: 10.1007/s00182-018-0640-z
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    References listed on IDEAS

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