论文标题
随机进化游戏动态的路径积分公式
The path integral formula for the stochastic evolutionary game dynamics in the Moran process
论文作者
论文摘要
Moran过程是进化游戏理论中的基本数学结构之一。在这项工作中，我们介绍了基于Moran过程的进化游戏理论的路径积分方法的表述。我们通过从初始状态到最终状态的路径积分来得出过渡概率，并具有MORAN过程的更新规则。在此框架中，过渡概率是所有进化路径的总和。过渡概率的路径积分公式可能是一种新的数学工具，可以探索随机游戏进化动力学。
The Moran process is one of an basic mathematical structure in the evolutionary game theory. In this work, we introduce the formulation of the path integral approach for evolutionary game theory based on the Moran process. We derive the transition probability by the path integral from the initial state to the final state with updating rule of the Moran process. In this framework, the transition probability is the sum of all the evolutionary paths. The path integral formula of the transition probability maybe expected to be a new mathematical tool to explore the stochastic game evolutionary dynamics.
