Multistep Bertrand duopoly model with imports
Taurida Journal of Computer Science Theory and Mathematics, no. 2 (2018), pp. 7-16

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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.
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     author = {V. I. Zhukovskii and M. V. Boldyrev},
     title = {Multistep {Bertrand} duopoly model with imports},
     journal = {Taurida Journal of Computer Science Theory and Mathematics},
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     publisher = {mathdoc},
     number = {2},
     year = {2018},
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     url = {http://geodesic.mathdoc.fr/item/TVIM_2018_2_a0/}
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V. I. Zhukovskii; M. V. Boldyrev. Multistep Bertrand duopoly model with imports. Taurida Journal of Computer Science Theory and Mathematics, no. 2 (2018), pp. 7-16. http://geodesic.mathdoc.fr/item/TVIM_2018_2_a0/