两种群演化动力学中的相对种群规模、合作压力与策略相关性
Relative population size, co-operation pressure and strategy correlation in two-population evolutionary dynamics
摘要：
利用统计力学方法研究了两个随机复制子种群的耦合动力学行为，重点研究了相对种群规模、策略相关性和异质性对各自合作压力的影响.为此，我们推广现有的路径积分方法复制系统随机不对称耦合。这种技术允许一个制定一个有效的动力学理论，这是准确的热力学极限，并可以解决持久的顺序参数在一个固定的点制度，无论相互作用的对称性。不稳定性的开始可以自洽地确定。我们计算数量，如各自的人口的多样性和他们的适应性在静止状态，并比较结果与数据从数值积分的复制子方程
英文摘要：
We study the coupled dynamics of two populations of random replicators by means of statistical mechanics methods, and focus on the effects of relative population size, strategy correlations and heterogeneities in the respective co-operation pressures. To this end we generalise existing path-integral approaches to replicator systems with random asymmetric couplings. This technique allows one to formulate an effective dynamical theory, which is exact in the thermodynamic limit and which can be solve for persistent order parameters in a fixed-point regime regardless of the symmetry of the interactions. The onset of instability can be determined self-consistently. We calculate quantities such as the diversity of the respective populations and their fitnesses in the stationary state, and compare results with data from a numerical integration of the replicator equations
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
