We discuss a model of inequity based on iteration of the Nash multi-agent bargaining game on a lattice. Agent's choices are based on a logit function and gradual decay of memories of past profits. Numerical simulations demonstrate the stability of various dynamical regimes, such as disorder, fairness or inequity, according to parameters and initial conditions. When playing the game on a lattice i.e. using neighbouring agent interactions instead of random interaction among the whole agent population, one observes spatial domains and specific patterns in addition to the temporal convergence toward attractors observed when interactions involve any pair of agents. A result specific to the network topology is the co-existence of domains with different regimes, allowing the emergence of the inequity condition even in the absence of tags.

中文翻译：

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不等式的晶格动力学

我们讨论了基于Nash多主体讨价还价博弈在网格上迭代的不平等模型。代理人的选择基于对数函数和对过去利润记忆的逐渐衰减。数值模拟表明，根据参数和初始条件，各种动态状态的稳定性，例如无序，公平或不平等。当在格子上玩游戏时，即使用相邻的特工互动而不是整个特工群体之间的随机互动，除了互动涉及任何一对特工时观察到的吸引子的时间收敛外，还观察到空间域和特定模式。网络拓扑特有的结果是具有不同机制的域共存，即使没有标签，也允许出现不平等条件。