A nash equilibrium solution for the discrete two-person cost sharing problem

In this paper we study the discrete cost sharing problem. We restrict the problem when there exists only a pair of agents with the same demand of discrete goods (not necessarily the same kind of goods). We create a non-cooperative game based on solutions defined by paths and then, we show a solution for the cost sharing problem that is a Nash equilibrium for our non-cooperative situation. Also, we show some properties of the proposed solution.

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