Ohtsuki Hisashi, Nowak Martin A, Pacheco Jorge M
Program for Evolutionary Dynamics, Harvard University, Cambridge, Massachusetts 02138, USA.
Phys Rev Lett. 2007 Mar 9;98(10):108106. doi: 10.1103/PhysRevLett.98.108106. Epub 2007 Mar 8.
We study the evolution of cooperation modeled as symmetric 2x2 games in a population whose structure is split into an interaction graph defining who plays with whom and a replacement graph specifying evolutionary competition. We find it is always harder for cooperators to evolve whenever the two graphs do not coincide. In the thermodynamic limit, the dynamics on both graphs is given by a replicator equation with a rescaled payoff matrix in a rescaled time. Analytical results are obtained in the pair approximation and for weak selection. Their validity is confirmed by computer simulations.
我们研究了在一个群体中，以对称2x2博弈建模的合作演化，该群体结构分为定义谁与谁互动的交互图和指定进化竞争的替换图。我们发现，只要这两个图不重合，合作者的进化就总是更难。在热力学极限下，两个图上的动力学由一个在重标时间下具有重标收益矩阵的复制方程给出。在对近似和弱选择的情况下得到了分析结果。计算机模拟证实了它们的有效性。
