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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 9, Pages 1566–1574
(Mi zvmmf593)
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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.
Received: 17.04.2005
Citation:
A. S. Antipin, O. A. Popova, “A two-person game in mixed strategies as a model of training”, Zh. Vychisl. Mat. Mat. Fiz., 45:9 (2005), 1566–1574; Comput. Math. Math. Phys., 45:9 (2005), 1511–1519
Linking options:
https://www.mathnet.ru/eng/zvmmf593 https://www.mathnet.ru/eng/zvmmf/v45/i9/p1566
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