| In this pluralistic era,cooperation between two or more parties can often yield huge benefits.How to reasonably allocate the proceeds to players is one of the important subjects in the research of cooperative games.Cooperative games are widely used in many fields such as theoretical economics,political science,military application,network and so on.Therefore,there is great theoretical significance and practical value to study the solution of Cooperative games.The research results of this paper mainly include the following two parts:Firstly,according to the characteristics of the definition of the fairest core,the solution of the fairest cores problem is transformed into solving the convex quadratic programming problem and then using the symmetric alternating direction method with positive-indefinite proximal regularization to solve the problem.The global convergence and the numerical superiority indicate that the algorithm is an effective algorithm which is worth studying.Secondly,This paper consider a kind of games with coalition structures.There are precedence constraints between priori unions,while the permission structures within each priori union.This paper call it double restricted Owen value with coali-tion structure.This paper proves that Owen value satisfies some properties,such as additivity,efficiency,restricted symmetric with coalitions,necessary player property and so on.Finally,This paper gave an example to illustrate the significance of the allocation method. |
