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The coordination of actions and the allocation of profit in supply chainsunder decentralized control play an important role in improving the profits ofretailers and suppliers in the chain. We focus on supply chains underdecentralized control in which noncompeting retailers can order from multiplesuppliers to replenish their stocks. Suppliers' production capacity is bounded.The goal of the firms in the chain is to maximize their individual profits. Asthe outcome under decentralized control is inefficient, coordination of actionsbetween cooperating agents can improve individual profits. Cooperative gametheory is used to analyze cooperation between agents. We definemulti-retailer-supplier games and show that agents can always achieve togetheran optimal profit and they have incentives to cooperate and to form the grandcoalition. Moreover, we show that there always exist stable allocations of thetotal profit among the firms upon which no coalition can improve. Then wepropose and characterize a stable allocation of the total surplus induced bycooperation.

Allocating the surplus induced by cooperation in distribution chains with multiple suppliers and retailers