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.
Highlights
INTRODUCTIONSince differences of opinion seem to arise whenever and wherever human beings interact with one another, conflict is present everywhere, such as, a couple trying to decide where to take their honeymoon, the negotiations over free trade among nations and the war strategy of a country in military attacks[1]
Since differences of opinion seem to arise whenever and wherever human beings interact with one another, conflict is present everywhere, such as, a couple trying to decide where to take their honeymoon, the negotiations over free trade among nations and the war strategy of a country in military attacks[1].After determining the players, strategies, and preference information for a conflict model, each outcome is analyzed for stability for each player
Preference information is always represented in the form of preference vector, which is just a sequence of all outcomes from the most preferred to the least preferred to the player
Summary
Since differences of opinion seem to arise whenever and wherever human beings interact with one another, conflict is present everywhere, such as, a couple trying to decide where to take their honeymoon, the negotiations over free trade among nations and the war strategy of a country in military attacks[1]. Strategies, and preference information for a conflict model, each outcome is analyzed for stability for each player. Preference information is always represented in the form of preference vector, which is just a sequence of all outcomes from the most preferred to the least preferred to the player. The preference of players to outcomes is represented as interval numbers. The corresponding two interval numbers can be compared by a possibility degree formula.
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