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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2009, Volume 1, Issue 3, Pages 87–106 (Mi mgta18)  
Linear-quadratic non-antagonistic discrete-time dynamic games

Anna Tur

Faculty of Applied Mathematics and Control Processes, Saint-Peterburg State University
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Abstract: Linear-quadratic discrete-time dynamic games are considered. The necessary and sufficient conditions of the existence of Nash equilibrium in such class of games are presented. Different cooperative solutions are obtained. D.W.K. Yeung's condition for linear-quadratic discrete-time dynamic games is studied. As an example, the model of production planning under competition is examined.
Keywords: linear-quadratic games, Nash equilibrium, cooperative games, D.W.K. Yeung's condition.
Bibliographic databases:
Document Type: Article
UDC: 519.837.3
BBC: 22.18
Language: Russian
Citation: Anna Tur, “Linear-quadratic non-antagonistic discrete-time dynamic games”, Mat. Teor. Igr Pril., 1:3 (2009), 87–106
Citation in format AMSBIB
\Bibitem{Tur09}
\by Anna Tur
\paper Linear-quadratic non-antagonistic discrete-time dynamic games
\jour Mat. Teor. Igr Pril.
\yr 2009
\vol 1
\issue 3
\pages 87--106
\mathnet{http://mi.mathnet.ru/mgta18}
\zmath{https://zbmath.org/?q=an:1189.91023}
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  • https://www.mathnet.ru/eng/mgta/v1/i3/p87
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