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Matematicheskoe modelirovanie, 2019, Volume 31, Number 8, Pages 101–119
DOI: https://doi.org/10.1134/S0234087919080069
(Mi mm4105)
 

This article is cited in 1 scientific paper (total 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
Full-text PDF (544 kB) Citations (1)
References:
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
English version:
Mathematical Models and Computer Simulations, 2020, Volume 12, Issue 2, Pages 246–256
DOI: https://doi.org/10.1134/S2070048220020167
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. K. Volosova, A. K. Volosova, K. A. Volosov, S. P. Vakulenko, “Graphs for the replicator equations and "tragedy of common resource"”, Matem. Mod., 31:8 (2019), 101–119; Math. Models Comput. Simul., 12:2 (2020), 246–256
Citation in format AMSBIB
\Bibitem{VolVolVol19}
\by N.~K.~Volosova, A.~K.~Volosova, K.~A.~Volosov, S.~P.~Vakulenko
\paper Graphs for the replicator equations and "tragedy of common resource"
\jour Matem. Mod.
\yr 2019
\vol 31
\issue 8
\pages 101--119
\mathnet{http://mi.mathnet.ru/mm4105}
\crossref{https://doi.org/10.1134/S0234087919080069}
\elib{https://elibrary.ru/item.asp?id=38487772}
\transl
\jour Math. Models Comput. Simul.
\yr 2020
\vol 12
\issue 2
\pages 246--256
\crossref{https://doi.org/10.1134/S2070048220020167}
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  • https://www.mathnet.ru/eng/mm/v31/i8/p101
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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    Abstract page:244
    Full-text PDF :64
    References:41
    First page:6
     
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