摘要
古诺博弈纳什均衡解的经典解释中包含了主体的理性假设,本文从演化的角度分析了这一假设的局限性;然后基于生物进化论的观点定义了选择算子;对于古诺博弈,通过数值模拟探讨了选择算子的渐近行为,并得出了古诺博弈中的纳什均衡解是选择算子的稳态这一结论,从而解释了该博弈中非合作纳什均衡的自然合理性。
The classical explanation to Nash equilibrium of Gournot game includes the rationality hypothesis of agents.In this article,the limitation of this hypothesis is discussed from the point of evolutionism.Then,the concept of selection operator is defined on the base of evolutionism.The evolutionary behavior of selection operator is concerned with the numerical simulation to Gournot game,and it is found that Nash equlilbrium is just in the steady state.
基金
国家自然科学基金资助项目(60174048)(70271076)
关键词
古诺博弈
演化
选择算子
纳什均衡
合作
Gournot game
evolution
selection operator
Nash equilibrium
cooperation
