Geodesic
Graphs for the replicator equations and "tragedy of common resource"
Matematičeskoe modelirovanie, Tome 31 (2019) no. 8, pp. 101-119.

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Appeared active users, which require the solution of inverse problems on the graph with uncertainty for modeling processes in the economic sphere. Such tasks earlier mathematicians were not considered. There was provided a connection replicator systems of equations (RS) with the stated theme. The exact and asymptotic solutions were developed in the case of a «hard» RS equations. The effect of «a priori» dying clone and boundary layer for small values of time were discovered. There was the analogy with similar structures in the economy the effect of the existence of "shadow invisible" super-consumers described was.
Keywords: tragedy of common resource, the replicator systems of equations, real structures in economy. 
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N. K. Volosova; A. K. Volosova; K. A. Volosov; S. P. Vakulenko. Graphs for the replicator equations and "tragedy of common resource". Matematičeskoe modelirovanie, Tome 31 (2019) no. 8, pp. 101-119. http://geodesic.mathdoc.fr/item/MM_2019_31_8_a5/

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