Limited Multi-stage Cooperative Game And Its Application Research

On the dynamic game model,the problems of complete cooperation and incomplete cooperation are examined.Two new models are set up.The two-stage cooperation game based on the undirected network and the incomplete cooperative game on the game tree are considered respectively.One model is two-stage cooperative network games on undirected networks.At the first stage of the game,players form a network,while at the second stage players choose their behaviors based on the network realized at the first stage.Under the assumption of cooperation,the optimal behaviors of people in two-stage games are proved.As a cooperative solution concept in the game,the Shapley value is proved not time consistent in this model.So the IDP is designed for the Shapley value in order to ensure the cooperation.The other model is focused on applying cooperative game theory to analyze and solve the problem of changes of cooperation in dynamic process.Player choose to deviate from the coalition which he belongs to at those given nodes of the game tree,thus changing coalition partitions.We build the new dynamic optimal solution and give the complete algorithm by introducing new defined character functions and solution concept-the Shapley value with directed graph constraints.And the factors that affect the distribution of people are also analyzed.