Applications Of Cooperative Game Theory

Believes of game theory introduced into research of economics was called the second revolution of economics. From this,we can see the importance of game theory in application.But for a long time,the cooperative game theory was almost forgotten since it was mostly applied in politic fields, except a rapidly progress in the 1940s and 1950s.At the same time, non- cooperative game was widely used in many fields and founded a relative perfect system. Until 1980s,people gradually became convinced of that in the economic system there not only need competition, but also need cooperaion. Then cooperative game theory meets a new chance of development.The cooperative game discusses the imputation of the total benefits(costs) mainly.Reasonable imputation ensures the stability of the coalition ,so they can cooperate continuously. Or,the players will not have motivation to cooperate,then the coalition which formed will face the threat of disintegration.The imputation of the total benefits(costs) is the theme of this thesis.The article consists of five aspects content:1 .The solutions of cooperative game which exist are generalized and summarized, all these solutions have not the position which the Nash equilibrium has in the non-cooperative game.Currently,the reasonable solutions are nucleolus and shaply value.2.The cooperative game model of group-buyers is constructed by cooperative game theory,and this model is solved. Moreover, we obtain specific saving of exchange cost for every group-buyer by analyzing a case.So, group-buyers will have clearer understanding on the reduction of exchange cost and deeper research on the group-buying.3. Because of the high construction cost of the 3G wireless communications systems, the crux of the construction is how to make use of the available resource of the wireless service providers. The cost allocation problem of upgrading the existing networks in different ways is presented and analyzed by cooperative game theory,and constructs the imputation model on the cost on 3G wireless communications systems.The model is applied in practice,we find that the wireless service providers should make full use of the available resource and obtain the maximum economic benefit from it by the comparation of the results. 4.How to distribute the total benefits(costs) under multi-criterial environments?The DEA game which is obtained by the combination of the cooperative game and the DEA can solve this question. DEA game includes DEA max game and DEA min game,the former can solve the imputation on the benefit,the latter can solve the imputation on the cost.The coalition,characteristic function and two solutions of DEAgame is defined.5. In view of the limit of the bonus allocation scheme presently, DEA game model for the bonus allocation problem is developed, And the solution for solving the bonus allocation problem is presented.Finally, the feasibility of this scheme is illustrated by an example.