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

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.

UDC: 519.83
BBK: 22.18

Received: 20.11.2020
Revised: 08.12.2020
Accepted: 01.03.2021