Optimal Strategies in the Game with Arbitrator

Alexander E. Mentcher

Transbaikal State University, Faculty of Natural Science, Mathematics and Technology, Alexandro-Zavodskaya str. 30, Chita, 672039, Russia

Abstract: The organization of negotiations by using arbitration procedures is an actual problem in game theory. We consider a non-cooperative zero-sum game, related with an arbitration scheme, generalized well known final-offer procedure. The nash equilibrium in this game in mixed strategies is found.

Keywords: game, arbitration procedure, equilibrium, mixed strategies.

Language: English