CAJ | 학술논문

借助有限策略的混合策略纳什均衡的有关理论和统计学中回归分析的方法，提出并证明了无限策略的混合策略纳什均衡的存在性定理；通过将局中人的策略集逐步划分和逼近，对无限策略的混合策略纳什均衡的求解算法进行了深入研究，给出了一种近似的迭代算法。算例结果表明，该迭代算法是有效可行的。
차조유한책략적혼합책략납십균형적유관이론화통계학중회귀분석적방법，제출병증명료무한책략적혼합책략납십균형적존재성정리；통과장국중인적책략집축보화분화핍근，대무한책략적혼합책략납십균형적구해산법진행료심입연구，급출료일충근사적질대산법。산례결과표명，해질대산법시유효가행적。
T his paper proposes and proves the existence of the infinite mixed strategy Nash equilibrium with the theory of limited mixed strategy Nash equilibrium and regression analysis in statistical methods , and then the algorithm for infinite mixed strategy Nash equilibrium is in-depth researched , then a similar iterative algorithm is given for finding infinite mixed strategy Nash equilibrium . T he example results show that the theoretical results are the development of existing theory of game theory , and the iterative algorithm is effective and feasible .