Abstract
The present paper is concerned with characterizing in a nonusual form the equilibrium points for the mixed extension of a two-person game. We study interesting properties about such equilibrium points which are concerned with different pairs of them. Finally, we introduce an elimination procedure for pure strategies and relate in a general way the complete set of equilibrium points.
Similar content being viewed by others
References
Marchi, E.,On the Minimax Theorem of the Theory of Games, Annali di Matematica Pura ed Applicata, Vol. 77, pp. 207–282, 1967.
Zieba, A.,An Elementary Proof of Von Neumann Minimax Theorem, Colloquium Mathematicum, Vol. 6, p. 224, 1957.
Marchi, E., andTarazaga, P.,The Minimax Theorem for Continuous Games Using an Elimination Procedure, International Journal of Game Theory, Vol. 6, pp. 115–121, 1978.
Burger, E.,Einfuhrung in die Theorie der Spiele, Walter de Gruyter, Berlin, Germany, 1959.
Author information
Authors and Affiliations
Additional information
Communicated by G. Leitmann
This work has been partially supported by the Consejo Nacional de Investigaciones Cientificas y Tecnicas, Buenos Aires, Argentina.
Rights and permissions
About this article
Cite this article
Marchi, E., Tarazaga, P. Relevant aspects in two-person games. J Optim Theory Appl 53, 125–131 (1987). https://doi.org/10.1007/BF00938821
Issue Date:
DOI: https://doi.org/10.1007/BF00938821