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Taurida Journal of Computer Science Theory and Mathematics, 2018, Issue 2, Pages 7–16 (Mi tvim43)  
Multistep Bertrand duopoly model with imports

V. I. Zhukovskii, M. V. Boldyrev

Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics, Department of Optimal Control, Leninskiye Gory ul., 1, bldg. 52, Moscow, 119234, Russian Federation
Full-text PDF (520 kB)
Abstract: Through the use of a suitable variant of dynamic programming, the explicit form of the situation of guaranteed equilibrium in a two-step positional mathematical model of Bertrand duopoly has been found. This research may be extended by examination of $ N $-person games as well as applying the Berge equilibrium instead of the Nash equilibrium.
Keywords: dynamic programming, strongly guaranteed equilibrium, Bertrand duopoly, uncertainty, Nash equilibrium, game theory.
Document Type: Article
UDC: 519.532.2
MSC: 90С39
Language: English
Citation: V. I. Zhukovskii, M. V. Boldyrev, “Multistep Bertrand duopoly model with imports”, Taurida Journal of Computer Science Theory and Mathematics, 2018, no. 2, 7–16
Citation in format AMSBIB
\Bibitem{ZhuBol18}
\by V.~I.~Zhukovskii, M.~V.~Boldyrev
\paper Multistep Bertrand duopoly model with imports
\jour Taurida Journal of Computer Science Theory and Mathematics
\yr 2018
\issue 2
\pages 7--16
\mathnet{http://mi.mathnet.ru/tvim43}
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