Two-person non-zero-sum games as multicriteria goal games

In this paper, we propose a new way to analyze bimatrix games. This new app roach consists of considering the game as a bicriteria matrix game. The sol ution concepts behind this game are based on getting the probability to ach ieve some prespecified goals. We consider as a part of the solution, not on ly the payoff values, but also the probability to get them. In addition, to avoid the choice of only one goal, two different approaches are used. Firs tly, sensitivity analysis of the solution set is carried out on the range o f goals, secondly a partition of the goal space in a finite number of regio ns is presented. Some examples are included to illustrate the results in th e paper.