Optimum Water Resources Allocation UsingGame Theory

A Cooperative Water Allocation Model (CWAM) as a comprehensive model for efficient and equitable allocation of water in a river basin is designed. This model comprised of two steps: first the initial allocation of water using Lexicographic Minimax Ratio of Water Shortage (LMWSR), and second, water reallocation and net benefit for an efficient and optimal allocation of water transfer model. The second step can usethe followings: Irrigation Water Planning Model (IWPM); Hydrologic-Economic River Basin Model (HERBM) and Cooperative Reallocation Game (CRG). This study is performed in order to optimize the allocation of water resources of Chahnimeh natural reservoirs in a 12 month term (April 2005 to March 2006) using Game Theory. The results of LMWSR model showed a satisfaction ratio of 1 to 0.89 for domestic water and 1 to 0.49 for agricultural sector. For allocating water to the reservoirs this ratio is less than 1 for all months. The HERBM model results showed that the total allocation and profit of domestic water is increased in the optimal allocation compared to the initial allocation. These are decreased for agricultural compared to the initial allocation. The reallocation of benefits based on the concept of Shaply value showed that the maximum benefit obtained for the domestic water of Zahedan City which drew the maximum side payment and added value from other stakeholders in the whole period. The least benefit belongs to the agricultural sector.