Extraproximal method for solving two-person saddle-point games
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 9, pp. 1576-1587
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An equilibrium model is proposed for a two-person saddle-point game with partially coincident or conflicting interests. Meaningful interpretations of such a game are discussed. Three variants of the extraproximal method for finding an equilibrium point are proposed, and their convergence is proved.
@article{ZVMMF_2011_51_9_a1,
author = {A. S. Antipin and L. A. Artem'eva and F. P. Vasil'ev},
title = {Extraproximal method for solving two-person saddle-point games},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1576--1587},
publisher = {mathdoc},
volume = {51},
number = {9},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_9_a1/}
}
TY - JOUR AU - A. S. Antipin AU - L. A. Artem'eva AU - F. P. Vasil'ev TI - Extraproximal method for solving two-person saddle-point games JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2011 SP - 1576 EP - 1587 VL - 51 IS - 9 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_9_a1/ LA - ru ID - ZVMMF_2011_51_9_a1 ER -
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A. S. Antipin; L. A. Artem'eva; F. P. Vasil'ev. Extraproximal method for solving two-person saddle-point games. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 9, pp. 1576-1587. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_9_a1/