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Contributions to Game Theory and Management, 2017, Volume 10, Pages 94–99 (Mi cgtm301)  
On the conditions on the integral payoff function in the games with random duration

Ekaterina V. Gromova, Anastasiya P. Malakhova, Anna V. Tur

St. Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg, 199034 Russia
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Abstract: In this paper we consider the problem of the existence of the integral payoff in the differential games with random duration when the random time is defined on the infinite time interval. We present an example of a game with random duration, a game-theoretic model of the development of non-renewable resources.
Keywords: differential games, random duration, environment, pollution control.
Funding agency Grant number
Russian Science Foundation 17-11-01079
Ekaterina Gromova acknowledges the grant 17-11-01079 of Russian Science Foundation.
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Document Type: Article
Language: English
Citation: Ekaterina V. Gromova, Anastasiya P. Malakhova, Anna V. Tur, “On the conditions on the integral payoff function in the games with random duration”, Contributions to Game Theory and Management, 10 (2017), 94–99
Citation in format AMSBIB
\Bibitem{GroMalTur17}
\by Ekaterina~V.~Gromova, Anastasiya~P.~Malakhova, Anna~V.~Tur
\paper On the conditions on the integral payoff function in the games with random duration
\jour Contributions to Game Theory and Management
\yr 2017
\vol 10
\pages 94--99
\mathnet{http://mi.mathnet.ru/cgtm301}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3701825}
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