摘要
对于没有最优纯解的矩阵对策,具有最大Shannon熵的Neumann最优混合策略称为Neumann-Shannon最优混合策略。由两个局中人的Neumann-Shannon最优混合策略构成的序对称为Neumann-Shannon对策解。我们研究了Neumann-Shannon对策解的存在性,解集的拓扑结构和凸性,解的交换性和求解算法,并给出带有唯一Neumann-Shannon对策解的一类矩阵对策。
In a matrix game who have no optimal pure game solution, a Neumann optimal mixed strategy with greatest Shannon information entropy is called Neumann-Shannon optimal mixed strategy. An order pair formed by two the payers＇ Neumann-Shannon optimal mixed strategies is called Neumann-Shannon game solution. In this paper, we research into Neumann-Shannon game solution existence, topological structure and convexity of solution sets, commutativity of solutions and algorithm of solutions. Finally, we give a class of matrix games with only one Neumann-Shannon game solution.
出处
《系统工程》
CSCD
北大核心
2005年第7期17-21,共5页
Systems Engineering
基金
国家自然科学基金资助项目(78970025)
