Reputation plays a crucial role in social interactions by affecting the fitness of individuals during an evolutionary process. Previous works have extensively studied the result of imitation dynamics without focusing on potential irrational choices in strategy updates. We now fill this gap and explore the consequence of such kind of randomness, or one may interpret it as an autonomous thinking. In particular, we study how this extended dynamics alters the evolution of cooperation when individual reputation is directly linked to collected payoff, hence providing a general fitness function. For a broadly valid conclusion, our spatial populations cover different types of interaction topologies, including lattices, small-world and scale-free graphs. By means of intensive simulations we can detect substantial increase in cooperation level that shows a reasonable stability in the presence of a notable strategy mutation.

翻译：声誉在社会互动中发挥着关键作用，通过影响演化过程中个体的适应度来塑造行为。以往研究广泛探讨了模仿动力学的结果，但未关注策略更新中潜在的非理性选择。我们现在填补这一空白，探讨此类随机性（或可理解为自主思考）的影响。具体而言，我们研究当个体声誉直接与累积收益挂钩（从而形成广义适应度函数）时，这种扩展动力学如何改变合作的演化。为确保结论的广泛适用性，我们的空间种群覆盖了不同类型的交互拓扑结构，包括晶格、小世界网络和无标度图。通过大量仿真模拟，我们观察到合作水平显著提升，且该提升在存在显著策略突变的情况下仍保持合理稳定性。