The existence theorem of absolute equilibrium about games on connected graph with state payoff vector
The existence theorem of absolute equilibrium about games on connected graph with state payoff vector作者机构:College of Mathematics Qingdao University Qingdao China
出 版 物:《Science China Mathematics》 (中国科学:数学(英文版))
年 卷 期:2010年第53卷第6期
页 面:1483-1490页
核心收录:
学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金:supported by National Natural Science Foundation of China (Grant Nos.70571040,70871064) the International (Regional) Joint Research Program of China (Grant Nos.70711120204,71011120107) the Innovation Project of Graduate Education in Shandong Province,China (Grant No.SDYC08045)
主 题:connected graph state payoff vector simple strategy absolute equilibrium three-dimensional mesh-like graph
摘 要:By introducing state payoff vector to every state node on the connected graph in this paper,dynamic game is researched on finite *** concept of simple strategy about games on graph defined by Berge is introduced to prove the existence theorem of absolute equilibrium about games on the connected graph with state payoff *** complete algorithm and an example in the three-dimensional connected mesh-like graph are given in this paper.