摘要
引进多组对策系统组内部合作对策非劣解的线性型功效系数方法,证明最优解是组内部隐含某一权重向量的合作对策的非劣解,由此得到合作对策的单目标规划问题。在组内部该问题的解不仅是非劣的,而且对于所有局中人都优于不合作时的Nash平衡策略。利用组与组之间的非劣反应集,构造求解非劣Nash策略的迭代算法。该算法在保留文献[3]优点的前提下,克服其缺点,得到的解优于文献[3]对应的解。最后,用实例验证了该算法的有效性和正确性,所得结论丰富了多组对策问题的内容。
The algorithm called linear efficiency coefficient for cooperative games within each team in multi -team game systems is introduced to prove that the optimal solution is a non - inferior solution for cooperative game which implies a certain weight vector within each team. By this result, a single objective parameter programming for the cooperative games within each team is developed. The solution of this programming is not only a non - inferior solution but also a strategy superior to Nash equilibrium strategies for all the players within each team. An iterative algorithm for solving non - inferior Nash strategies between the teams is proposed using the non - inferior reaction sets of the teams. The algorithm contains the advantages from literature [ 3 ] , and simultaneously overcomes its disadvantages. The solution derived from this algorithm is superior to that from literature [ 3 ]. Finally, an example is taken to verify the effectiveness and the correctness of the algorithm, and the results obtained in the paper will enrich the multi -team game theory.
出处
《空军工程大学学报（自然科学版）》
CSCD
北大核心
2009年第5期80-84,共5页
Journal of Air Force Engineering University(Natural Science Edition)
基金
国家自然科学基金资助项目(60573040)
陕西省自然科学基金资助项目(SJ08F10)
关键词
多组对策
非劣Nash策略
线性型功效系数法
multi - team games
non - inferior Nash strategy
linear efficiency coefficient algorithm
