Geodesic
Computation of the maximum guaranteed payoff in dynamic models of conflict situations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 2, pp. 193-199 
S. A. Evseeva. Computation of the maximum guaranteed payoff in dynamic models of conflict situations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 2, pp. 193-199. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_2_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The conflict situations in question are described by repeated two-person bimatrix games. The problem is to determine the maximum guaranteed payoff to the first player. A numerical algorithm computing the solution is constructed and implemented as a program.

[1] Vasin A. A., “Silnye situatsii ravnovesiya v nekotorykh sverkhigrakh”, Vestn. MGU. Matem., mekhan., 1978, no. 1, 30–40 | MR

[2] Aumann R. J., Survey on repeated games, Stanford Univ., IMSSS, Stanford, 1978

[3] Germeier Yu. B., Shtilman M. S., “Nekooperativnye povtoryayuschiesya igry s proizvolnym diskontirovaniem”, Dokl. AN SSSR, 221:1 (1975), 22–25 | MR | Zbl

[4] Germeier Yu. B., “Ob igrakh dvukh lits s fiksirovannoi posledovatelnostyu khodov”, Dokl. AN SSSR, 198:5 (1971), 1001–1004 | MR | Zbl

[5] Kononenko A. F., “O mnogoshagovykh konfliktakh s obmenom informatsiei”, Zh. vychisl. matem. i matem. fiz., 17:4 (1977), 922–931 | MR | Zbl

[6] Bunakov A. E., “Analiz roli informirovannosti v dinamicheskikh modelyakh konfliktnykh situatsii”, Zh. vychisl. matem. i matem. fiz., 21:4 (1981), 844–852 | MR