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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2005 Volume 45, Number 9, Pages 1566–1574 (Mi zvmmf593)

A two-person game in mixed strategies as a model of training

A. S. Antipina, O. A. Popovab

a Dorodnicyn Computational Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
b Omsk State University

Abstract: A bimatrix two-person game in mixed strategies is considered, and an extraproximal method for its solution is suggested. Both the game and the solution method are interpreted as a static and dynamic model of a learning process. A professor and a group of students act as players in this game. The convergence to a Nash equilibrium is proved; the convergence process is interpreted as a convergence of the learning process to an equilibrium learning strategy.

Key words: two-person game, Nash equilibrium, convergence, learning.

UDC: 519.6:519.83

Received: 17.04.2005


 English version:
Computational Mathematics and Mathematical Physics, 2005, 45:9, 1511–1519

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