论文标题
在嘈杂和私人评估下间接互惠的声誉结构
Reputation structure in indirect reciprocity under noisy and private assessment
论文作者
论文摘要
评估关系对于维持合作社会是关键的。通过建模个人之间好或坏声誉的动态，已经根据间接互惠来讨论评估关系的形成。最近，考虑到个人独立评估他人错误（即嘈杂和私人声誉）的情况，在这种情况下，声誉结构（从每个人群中每个人获得良好声誉，在这里定义为善良的人的比例）变得复杂，因此主要通过数值模拟进行了研究。本研究对这种复杂的声誉结构进行了理论分析。我们制定了由于个人之间声誉的更新而引起的个人善良的时间变化。通过考虑大量人口，我们得出了善良的频率分布的动力学。高斯函数的求和可以近似动力学的平衡态。我们证明了理论解决方案非常适合数值计算。从理论解决方案中，我们获得了对复杂信誉结构的新解释。这项研究为间接互惠的最先进研究提供了新的数学基础。
Evaluation relationships are pivotal for maintaining a cooperative society. A formation of the evaluation relationships has been discussed in terms of indirect reciprocity, by modeling dynamics of good or bad reputations among individuals. Recently, a situation that individuals independently evaluate others with errors (i.e., noisy and private reputation) is considered, where the reputation structure (from what proportion of individuals in the population each receives good reputations, defined as goodness here) becomes complex, and thus has been studied mainly with numerical simulations. The present study gives a theoretical analysis of such complex reputation structure. We formulate the time change of goodness of individuals caused by updates of reputations among individuals. By considering a large population, we derive dynamics of the frequency distribution of goodnesses. An equilibrium state of the dynamics is approximated by a summation of Gaussian functions. We demonstrate that the theoretical solution well fits the numerical calculation. From the theoretical solution, we obtain a new interpretation of the complex reputation structure. This study provides a novel mathematical basis for cutting-edge studies on indirect reciprocity.
