Abstract

Active users have appeared who require the solution of inverse problems on a graph with conditions of uncertainty for modeling processes in the economic sphere. Such tasks were not considered by mathematicians earlier. This article provides an analogy with mathematical models which are described by a replicator system (RS) of equations related to the stated theme. The exact and asymptotic solutions are developed in the case of “stiff” RS equations. The effects of an a priori dying clone and of the boundary layer for small values of time are found. An analogy is drawn with some objects having similar features, which really exist in the economy. The effect of the existence of shadow, invisible super-consumers is described.

中文翻译：

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复制器方程图和“公共资源用尽的悲剧”

摘要

活跃的用户出现了，他们需要在具有不确定性条件的图形上求解逆问题，以便对经济领域的流程进行建模。数学家较早未考虑过此类任务。本文提供了与数学模型的类比，这些数学模型由与所述主题相关的方程式的复制器系统（RS）描述。在“刚性” RS方程的情况下，给出了精确和渐近解。发现了先验克隆和边界层对于较小时间值的影响。用经济上确实存在的一些具有相似特征的对象进行类比。描述了影子，隐形超级消费者的存在的影响。