Grey-game in agricultural perishable products supply chain under union

This paper is aimed to research grey-game in a two-stage perishable agricultural products supply chain consisting of multi- peasant and a company. These peasants set up dynamic alliances. The market price of perishable agricultural products are random and uncertain availability, it is an interval grey number. Then, the grey game model under union is established. The various game results between multi- peasant and a company are discussed and the factors of impacting them cooperation are explored. The results show that the two decision factors of cooperating between them are the penalty to breaking a treaty and the bonus to being rewarded, and the alliances affect the peasants violating a treaty rather than the company. Finally the strategy and means of realizing the united optimization and reaching Nash equilibrium in perishable agricultural products supply chain are presented and also demonstrated by examples.