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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2019 Volume 31, Number 8, Pages 101–119 (Mi mm4105)

This article is cited in 1 paper

Graphs for the replicator equations and "tragedy of common resource"

N. K. Volosova, A. K. Volosova, K. A. Volosov, S. P. Vakulenko

Russian University of Transport

Abstract: 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.

Received: 12.03.2018
Revised: 01.04.2019
Accepted: 08.04.2019

DOI: 10.1134/S0234087919080069


 English version:
Mathematical Models and Computer Simulations, 2020, 12:2, 246–256

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© Steklov Math. Inst. of RAS, 2024