On the structure of two-person, finite, zero-sum games

Zdzisław Wyderka

Published: 1990-01-30
Language: EN

Vol. 3 (1990)

On the structure of two-person, finite, zero-sum games

Zdzisław Wyderka

Abstract

The algebraical and topological structure of the set ???? (resp. ????₁) of all n×m matrix games with saddle points (resp. with unique saddle point) in the space R^n×m of all such games is studied. It has been shown that ???? is a closed cone with vertex zero and includes the origin. Moreover, it is neither convex nor dense subset of R^n×m. The set ????₁ is a non-convex cone which does not include the origin. It is neither closed nor open.
The concept of “reserve of non-saddlexity” has been also introduced.

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Wyderka, Z. (1990). On the structure of two-person, finite, zero-sum games. Annales Mathematicae Silesianae, 3, 127–131. Retrieved from https://trrest.vot.pl/ojsus/index.php/AMSIL/article/view/14311

References

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Vol. 3 (1990)
Published: 1990-01-30

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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