Antagonistic game with interval payoff functions. (English. Russian original) Zbl 1132.91329

Shashikhin, V. N.

Cybern. Syst. Anal. 40, No. 4, 556-564 (2004); translation from Kibern. Sist. Anal. 2004, No. 4, 110-119 (2004).

Summary: A two-person zero sum noncooperative game with an interval uncertain strategy and a payoff function is considered. With the use of methods of an extended interval arithmetic, external estimates are obtained for generalized sets of lower and upper values of the game defined by an interval payoff matrix.

MSC:

91A10	Noncooperative games
91A05	2-person games

Keywords:

antagonistic game; interval payoff matrix; methods of the interval analysis; external estimates of game positions