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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2021, Volume 13, Issue 2, Pages 40–61 (Mi mgta280)  
Sufficient condition for nondominated maximin strategy of arbitrary player with terminal payoff function in two-step positional game of $n$ persons with strategies-syntheses and finite sets of controlling actions of players

Vyacheslav V. Sushkin

Tver State University, Department of Mathematics
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Abstract: Two-step positional game of $n$ persons with strategies-syntheses, $n\geqslant 2$, and finite sets of controlling actions of players is investigated. Sufficient condition for nondominated maximin strategy of arbitrary player, whose payoff function is terminal, has been obtained.
Keywords: noncooperative game, maximin strategy, nondominated strategy, multi-step positional game, strategy-synthesis, terminal payoff function.
Received: 20.11.2020
Revised: 08.12.2020
Accepted: 01.03.2021
Document Type: Article
UDC: 519.83
BBC: 22.18
Language: Russian
Citation: Vyacheslav V. Sushkin, “Sufficient condition for nondominated maximin strategy of arbitrary player with terminal payoff function in two-step positional game of $n$ persons with strategies-syntheses and finite sets of controlling actions of players”, Mat. Teor. Igr Pril., 13:2 (2021), 40–61
Citation in format AMSBIB
\Bibitem{Sus21}
\by Vyacheslav~V.~Sushkin
\paper Sufficient condition for nondominated maximin strategy of arbitrary player with terminal payoff function in two-step positional game of $n$ persons with strategies-syntheses and finite sets of controlling actions of players
\jour Mat. Teor. Igr Pril.
\yr 2021
\vol 13
\issue 2
\pages 40--61
\mathnet{http://mi.mathnet.ru/mgta280}
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