Catch games: The impact of modeling decisions

Janos Flesch; Dries Vermeulen; Anna Zseleva

doi:10.1007/s00182-018-0640-z

Catch games: The impact of modeling decisions

Janos Flesch, Dries Vermeulen^*, Anna Zseleva

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › 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
Early online date	19 Oct 2018
DOIs	https://doi.org/10.1007/s00182-018-0640-z
Publication status	Published - Jun 2019

Keywords

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

Access to Document

10.1007/s00182-018-0640-zLicence: CC BY

Cite this

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KW - Countably additive strategies

KW - Sigma algebras

KW - Set theory

KW - Finitely additive strategies

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