网络上的庭院-销售交换：财富分享和财富分配
Yard-Sale exchange on networks: Wealth sharing and wealth appropriation
摘要：
Yard-Sale（YS）是一个随机乘法财富交换模型，具有两个阶段：一个是财富共享的稳定阶段，另一个是财富集中在一个代理人身上的不稳定阶段。本文在一维环、二维正方形格和具有可变平均配位的随机图上对YS进行了数值研究，并与平均场（MF）中的YS进行了比较。在稳定相的平衡性质几乎不受网络的引入的影响。在稳定阶段的去相关时间的测量，使我们能够确定具有非常好的精度的临界接口，它原来是相同的，对于所有的网络分析，作为一个可以解析导出MF。在不稳定阶段，另一方面，动力学以及渐近性质是强烈的网络依赖性。财富不再像MF那样集中在单个代理人身上，而是集中在一组广泛的代理人身上，这些代理人的属性取决于网络。与以前的研究不动的反应物的合并的连接进行了讨论，并成功地与我们的数值结果进行了比较，他们的分析预测。
英文摘要：
Yard-Sale (YS) is a stochastic multiplicative wealth-exchange model with two phases: a stable one where wealth is shared, and an unstable one where wealth condenses onto one agent. YS is here studied numerically on 1d rings, 2d square lattices, and random graphs with variable average coordination, comparing its properties with those in mean field (MF). Equilibrium properties in the stable phase are almost unaffected by the introduction of a network. Measurement of decorrelation times in the stable phase allow us to determine the critical interface with very good precision, and it turns out to be the same, for all networks analyzed, as the one that can be analytically derived in MF. In the unstable phase, on the other hand, dynamical as well as asymptotic properties are strongly network-dependent. Wealth no longer condenses on a single agent, as in MF, but onto an extensive set of agents, the properties of which depend on the network. Connections with previous studies of coalescence of immobile reactants are discussed, and their analytic predictions are successfully compared with our numerical results.
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。
