RUS  ENG
Full version
JOURNALS // Matematicheskaya Teoriya Igr i Ee Prilozheniya // Archive

Mat. Teor. Igr Pril., 2022 Volume 14, Issue 2, Pages 64–75 (Mi mgta302)

This article is cited in 1 paper

Choice of mixed strategy in matrix game with nature by Hurwitz criterion

Stepan Yu. Ponomareva, Alexandr B. Khutoretskiib

a National Research University ''Higher School of Economics''
b Novosibirsk National Research University

Abstract: The article solves the problem of choosing an optimal, by the Hurwitz criterion, mixed strategy for arbitrary matrix game against nature. We reduce the problem to solving $n$ linear programming problems (where $n$ is the number of scenarios). As far as we know, this is a new result. It can be used to make decisions in uncertain environments, if the game situation is repeated many times, or physical mixture of pure strategies is realizable.

Keywords: uncertainty, decision making, game against nature, Hurwitz criterion, mixed strategy, linear programming.

UDC: 519.816, 519.832
BBK: 22.18

Received: 13.11.2021
Revised: 22.02.2022
Accepted: 16.05.2022



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025