Geodesic
Equilibrium in games with ordered outcomes
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 3, pp. 61-66 
V. V. Rozen. Equilibrium in games with ordered outcomes. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 3, pp. 61-66. http://geodesic.mathdoc.fr/item/ISU_2009_9_3_a10/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We consider some conditions of existence of equilibrium points in mixed extensions of games with ordered outcomes. Generalmethods for description of the set of equilibrium points and also for Nash equilibrium points are proposed.

[1] Rozen V. V., “Ob uporyadochennosti mnozhestva veroyatnostnykh mer”, Izv. vuzov. Ser. Matematika, 1988, no. 11, 72–74 | MR

[2] Rozen V. V., “Situatsii ravnovesiya v igrakh s uporyadochennymi iskhodami”, Kibernetika, 1989, no. 6, 98–104 | MR | Zbl

[3] Rozen V. V., “O merakh na uporyadochennykh mnozhestvakh”, Teoriya polugrupp i ee prilozheniya: Sb. nauch. tr., 11, Izd-vo Sarat. un-ta, Saratov, 1993, 35–39 | MR

[4] Rozen V. V., “Vlozheniya uporyadochennykh mnozhestv v uporyadochennye lineinye prostranstva”, Izv. vuzov. Ser. Matematika, 1998, no. 7(434), 32–38 | MR

[5] Rozen V. V., “Matematicheskie modeli prinyatiya reshenii na osnove chastichnoi uporyadochennosti iskhodov”, Tavricheskii vest. informatiki i matematiki, 2004, no. 1, 54–59

[6] Rozen V. V., “Prodolzhenie uporyadochennosti na mnozhestvo veroyatnostnykh mer”, Izv. Sarat. un-ta. Nov. ser. Ser. Matematika. Mekhanika. Informatika, 5 (2005), 61–70

[7] Rozen V. V., “Uporyadochenie veroyatnostnykh mer”, Sovremennye problemy differentsialnoi geometrii i obschei algebry, Tez. dokl. Mezhdunar. nauch. konf., posvyasch. 100-letiyu prof. V. V. Vagnera, Izd-vo Sarat. un-ta, Saratov, 2008, 52–59