Developing Uncertain Bankruptcy Models for Fair Extraction of Underground Water in Damghan Plain Iran

In recent decades, increasing population, and then water demand intensified have led to exploitation of groundwater resources.Lack of water along with its lack of proper management and conflicts between its sharing stakeholders. Often in most of these conflicts, the amount of water demand by the stakeholders is more than the amount of available water. Therefore, the management of underground water and withdrawals should be such that in addition to meeting the needs of consumers in a fair manner, the stability of the aquifer should also be taken into consideration. For this purpose, bankruptcy theory, which is one of the cooperative game theory approaches, has been used to allocate water among the Stakeholders. Bankruptcy methods include Proportional bankruptcy(P) Constrained Equal Award bankruptcy(CEA) Constrained Equal Loss bankruptcy(CEL) Talmud(TAL) Piniles(PIN) and Adjusted Proportional bankruptcy (AP). The study area in this study is Damghan plain at the Semnan province. The annual water requirement of this region is about 110 million cubic meters and the annual water withdrawal from the aquifer is about 87 million cubic meters. In this study,10 stakeholder regions from the agriculture, urban and industry sections are considered. The results obtained from bankruptcy proceedings have been valuated by the indicators of majority voting, stability in behavior, groundwater level taking into account uncertainty, and the integration of previous indicators. According to the results, the CEL method is selected as the best method with stability in the same behavior (level of satisfaction) among stakeholders, resulting in groundwater level higher and the highest β index.