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Graphs for the Replicator Equations and the “Tragedy of the Exhaustion of the Common Resource”
Mathematical Models and Computer Simulations Pub Date : 2020-04-08 , DOI: 10.1134/s2070048220020167 N. K. Volosova , A. K. Volosova , K. A. Volosov , S. P. Vakulenko
中文翻译:
复制器方程图和“公共资源用尽的悲剧”
更新日期:2020-04-08
Mathematical Models and Computer Simulations Pub Date : 2020-04-08 , DOI: 10.1134/s2070048220020167 N. K. Volosova , A. K. Volosova , K. A. Volosov , S. P. Vakulenko
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:
复制器方程图和“公共资源用尽的悲剧”