摘要
通过用约束问题解的最优化方法对双对称博弈中进化稳定策略存在的条件进行等价处理,研究了其中各种形式的进化稳定策略的存在性条件,得到了一个纯策略是进化稳定策略的充分必要条件是它为对角占优策略,并给出了在双对称博弈中,混合策略成为进化稳定策略的一个充分条件是此策略满足两点:一是内点纳什平衡,二是博弈矩阵的二次型在零和空间上恒为负值,这些结果独立于已有文献。
This paper provides the existence conditions of variant evolutionary stable strategy in two-fold symmetrical game using equivalent condition obtained by optimizing method of constrained problems.We obtain a pure strategy is an evolutionary stable strategy if and only if it is a diagonally dominant strategy.We give a sufficient condition which guarantees that a mixed strategy is an evolutionary stable strategy.That requires the strategy is an inner point and the Quadratic Form of game matrix is always negative.These results are independent of existing literature.
出处
《沈阳师范大学学报（自然科学版）》
CAS
2010年第3期347-349,共3页
Journal of Shenyang Normal University:Natural Science Edition
基金
广西教育厅科研基金资助项目(200702LX215)
关键词
进化稳定策略
对称博弈
进化博弈
evolutionary stable strategy
symmetrical game
evolutionary game
