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In this paper, we focus on decentralized agricultural supply chainsconsisting of multiple non-competing distributors satisfying the demand oftheir respective markets. These distributors source a single product from afarmer through an agricultural cooperative, operating in a single period. Theagents have the ability to coordinate their actions to maximize their profits,and we use cooperative game theory to analyze cooperation among them. Thedistributors can engage in joint ordering, increasing their order size, whichleads to a decrease in the price per kilogram. Additionally, distributors havethe opportunity to cooperate with the farmer, securing a reduced price perkilogram at the cost price, while compensating the farmer for any kilograms notacquired in the cooperation agreement. We introduce multidistributor-farmergames and we prove that all the agents have incentives to cooperate. Wedemonstrate the existence of stable allocations, where no subgroup of agentscan be better off by separating. Moreover, we propose and characterize adistribution of the total profit that justly compensates the contribution ofthe farmer in any group of distributors. Finally, we explore the conditionsunder which the farmer can be compensated in order to maximize their revenueswhen cooperating with all players.

Profit allocation in agricultural supply chains: exploring the nexus of cooperation and compensation