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Contributions to Game Theory and Management, 2018, Volume 11, Pages 73–102 (Mi cgtm324)  

Competitive and cooperative behavior in distribution networks

Yulia Lonyagina, Natalia Nikolchenko, Nikolay Zenkevich

St. Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg, 199034, Russia
References:
Abstract: This paper considers the problem of cooperation in supply networks. The model is based on distribution network, which includes several manufactures, single distributor and multi retailers, operated and competed in consumer markets that are functioning according to the Cournot model with the linear demand. All participants in a chain are trying to maximize their profit. A multi-stage hierarchic game was carried out. At the first step, we construct the competitive solution for such supply network as the perfect Nash equilibrium in the multi-step hierarchical game in the closed form. At the second step, we construct the cooperative solution for the network, where winnings of all participants in the found perfect Nash equilibrium are considered as the status quo point. Cooperative decision we calculate in the form of the weighted Nash bargaining solution, which comes down to the solution of a separable nonlinear programming problem. Numerical example for the network shows that cooperative decision is more profitable than competitive decision for all participants.
Keywords: distribution network, competitive and cooperative decisions, multi-stage hierarchical game, perfect Nash equilibrium, weighted Nash bargaining solution.
Funding agency Grant number
Russian Foundation for Basic Research 17-07-00371_а
16-01-00805_а
This work is supported by the Russian Foundation for basic Research, projects No. 16-01-00805A and No. 17-07-00371.
Document Type: Article
Language: English
Citation: Yulia Lonyagina, Natalia Nikolchenko, Nikolay Zenkevich, “Competitive and cooperative behavior in distribution networks”, Contributions to Game Theory and Management, 11 (2018), 73–102
Citation in format AMSBIB
\Bibitem{LonNikZen18}
\by Yulia~Lonyagina, Natalia~Nikolchenko, Nikolay~Zenkevich
\paper Competitive and cooperative behavior in distribution networks
\jour Contributions to Game Theory and Management
\yr 2018
\vol 11
\pages 73--102
\mathnet{http://mi.mathnet.ru/cgtm324}
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