This article is cited in 1 paper

Multi-step positional games of n persons

Necessary and sufficient condition for maximin strategy of arbitrary player with terminal win function in multi-step positional game of n persons with strategies-syntheses and finite sets of controlling actions of players

V. V. Sushkin

Tver State University, Department of Mathematics, Tver

Abstract: Multi-step positional game of $n$ persons with strategies-syntheses, $n\geqslant 2$, and finite sets of controlling actions of players is investigated. Necessary and sufficient condition for maximin strategy of arbitrary player, whose win function is terminal, has been gotten.

Keywords: game, player, strategy, situation, win function, guaranteed win, maximin strategy, multi-step positional game, step, position, trajectory, control, initial set, terminal set, strategy-synthesis, terminal function, terminal win function.

UDC: 519.837

Received: 16.02.2009
Revised: 18.02.2009

Bibliographic databases:

•