Cooperative Game Theory to understand the Importance of Real Coordination in Water Allocation: Application to Logone River Basin

The use of water in the Logone Basin has been a key factor of the conflict between users like farmers, fishers. In this paper, we explore possible ways of understanding the reel importance of coordination through the cooperative game theory. A positive mathematical programming is applied to find the net agricultural benefit of the players involved in the competition about water management. In the second time the Shapley value method is applied to find the suitable equilibrium that satisfies all the users. We applied this method to the real case of the logone river that is one of the river suffering from water shortages in the lac Chad basin. As the contribution of this paper, our results show that collective rationality is suitable to improve agreement among users in the presence of externality.

Keywords: Logone basin, Shapley value, conflict, game theory, collective rationality