a fair resource allocation method with multiple criteria in terms of game theory approach

The present study is concerned with fairly allocation of a resource to sectors to achieve the best accomplishments based on some criteria divided into merits and demerits of the sectors. there is a method similar to the idea of -value in cooperative games with selfish-modest approach which allows the sectors to selfishly and modestly choose their shares. in order to improve this method, another method using the shapley value approach is proposed in this study which allows the sectors in different orders to selfishly or modestly choose their shares. the two methods are applied to invest among economic sectors in iran. to compare the methods, the distance of the two methods solutions to the pareto frontier of the multi-objective problem is measured while considering the fairness of allocation. it was concluded that the solution of the proposed method is much close to that of the pareto frontier.