Bitte verwenden Sie diesen Link, um diese Publikation zu zitieren, oder auf sie als Internetquelle zu verweisen: https://hdl.handle.net/10419/322280 
Erscheinungsjahr: 
2025
Schriftenreihe/Nr.: 
Working Paper No. 417
Versionsangabe: 
Revised version, May 2025
Verlag: 
University of Zurich, Department of Economics, Zurich
Zusammenfassung: 
Sion and Wolfe (1957) presented a two-person zero-sum game on the unit square without a value. In the present paper, we analyze finite-grid approximations of the Sion-Wolfe game. We find that, as the number of grid points tends to infinity and the payoff function approaches that of the infinite game, the limiting value of finite approximations may lie within, on the boundary of, or even outside the interval defined by the lower and upper values of the infinite game. Although these observations can be attributed to offsetting effects, our findings underscore the need for great care, even in the case of two-person zero-sum games, when using finite approximations for the analysis of infinite games.
Schlagwörter: 
Two-person zero-sum games
Minimax theorem
Finite approximations
JEL: 
C62
C72
Persistent Identifier der Erstveröffentlichung: 
Dokumentart: 
Working Paper

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