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

  • Вячеслав Вячеславович Сушкин Тверской государственный университет
  • Vyacheslav Sushkin Tver State University
DOI: https://doi.org/10.17076/mgta_2021_2_35
Keywords: noncooperative game, maximin strategy, nondominated strategy, multi-step positional game, strategy-synthesis, terminal payoff function

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.

Published
2021-10-20
How to Cite
Сушкин, В., & Sushkin, V. (2021). 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. Mathematical Game Theory and Applications, 13(2), 40-61. https://doi.org/10.17076/mgta_2021_2_35
Issue
Vol 13 No 2 (2021): Mathematical game theory and applications
Section
Статьи
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