Abstract
This paper takes the preference information of players to the outcomes in a form of interval numbers, and uses the possibility degree formula for the comparison between two interval numbers. In order to obtain the credible actions of players in a conflict, the concept of risk tolerance is introduced. After the stability of all feasible outcomes analyzed, the equilibrium solution of the conflict will be obtained. A military conflict scenario is given to explain the rationality and feasibility of the new model finally.
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