Geodesic
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
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 13 (2021) no. 2, pp. 40-61

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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. 
@article{MGTA_2021_13_2_a2,
     author = {Vyacheslav V. Sushkin},
     title = {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},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {40--61},
     publisher = {mathdoc},
     volume = {13},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2021_13_2_a2/}
}
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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. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 13 (2021) no. 2, pp. 40-61. http://geodesic.mathdoc.fr/item/MGTA_2021_13_2_a2/