Game-theoretical model of cooperation between producers

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12 Scopus citations


A network model of manufacturing system is considered. This is a network formation game where players are participants of a production process and their actions are their's requests for interaction. Production networks are formed as a result of an interaction. Players' payoff functions are defined on the set of all possible networks. In this paper the special case of network formation games is considered. Payoff functions are supposed to be additive and depend on subsets of arcs. Two cases are considered. First, subsets of arcs are supposed to be not intersected. The necessary and sufficient conditions for equilibrium are given for this case.

Original languageEnglish
Title of host publicationInternational Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018
EditorsT.E. Simos, T.E. Simos, T.E. Simos, T.E. Simos, Ch. Tsitouras, T.E. Simos
Place of PublicationUnited States
PublisherAmerican Institute of Physics
ISBN (Electronic)9780735418547
ISBN (Print)9780735418547
StatePublished - 24 Jul 2019
Event16th International Conference of Numerical Analysis and Applied Mathematics - Rhodos, Greece
Duration: 13 Sep 201818 Sep 2018

Publication series

NameAIP Conference Proceedings
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616


Conference16th International Conference of Numerical Analysis and Applied Mathematics
Abbreviated titleICNAAM 2018

Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology
  • Plant Science
  • Physics and Astronomy(all)
  • Nature and Landscape Conservation


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