混沌Agent动力学对合作与同步协同进化的影响
Effect of chaotic agent dynamics on coevolution of cooperation and synchronization
摘要：
代理商的混沌动力学状态的协同进化的合作和同步的代理商的结构化人口的效果仍然是未开发的。为了深入研究这一问题，我们采用Watts-Strogatz网络算法构造了典范混沌Logistic映射的耦合映射格。该地图模拟代理的混沌状态动力学。在该模型中，代理人通过与其邻居同步而受益，并且在这样做的过程中，它支付成本。代理人通过使用随机或确定性规则来更新他们的策略（合作或背叛），试图获得比他们现有的更高的回报。在其他一些有趣的结果中，我们发现，超出临界耦合强度，增加与重新布线概率参数的Watts-Strogatz模型，耦合映射晶格时空同步，无论重新布线概率。此外，我们观察到，人口不完全deserminize-因此，有限的合作水平是持续的-即使当耦合映射晶格的平均程度是非常高的。这些结果与作为代理的非混沌仓本振荡器的种群的行为不一致。我们的模型还提出了合作的可能性，通过同步到一个动态的状态，这是一个周期性的轨道吸引子。
英文摘要：
The effect of the chaotic dynamical states of the agents on the coevolution of cooperation and synchronization in a structured population of the agents remains unexplored. With a view to gaining insights into this problem, we construct a coupled map lattice of the paradigmatic chaotic logistic map by adopting the Watts--Strogatz network algorithm. The map models the agent's chaotic state dynamics. In the model, an agent benefits by synchronizing with its neighbours and in the process of doing so, it pays a cost. The agents update their strategies (cooperation or defection) by using either a stochastic or a deterministic rule in an attempt to fetch themselves higher payoffs than what they already have. Among some other interesting results, we find that beyond a critical coupling strength, that increases with the rewiring probability parameter of the Watts--Strogatz model, the coupled map lattice is spatiotemporally synchronized regardless of the rewiring probability. Moreover, we observe that the population does not desynchronize completely -- and hence finite level of cooperation is sustained -- even when the average degree of the coupled map lattice is very high. These results are at odds with how a population of the non-chaotic Kuramoto oscillators as agents would behave. Our model also brings forth the possibility of the emergence of cooperation through synchronization onto a dynamical state that is a periodic orbit attractor.
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