Geodesic
Equilibrium Points in Games with Ordered Outcomes
Contributions to game theory and management, Tome 3 (2010), pp. 368-386

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A general method for a description of equilibrium points in games with ordered outcomes is proposed. This method is based on a construction of complete family of homomorphisms from a given game with ordered outcomes into games with payoff functions. Using this method, we obtain a description of the set of equilibrium points and Nash equilibrium points for mixed extension of game with vector payoffs. The main result is a finding of equilibrium points in mixed extension of a finite game with ordered outcomes.
Keywords: Equilibrium points, Nash equilibrium, Game with vector payoffs, Game with ordered outcomes, Mixed extension of a game with ordered outcomes. 
@article{CGTM_2010_3_a27,
     author = {Victor V. Rozen},
     title = {Equilibrium {Points} in {Games} with {Ordered} {Outcomes}},
     journal = {Contributions to game theory and management},
     pages = {368--386},
     publisher = {mathdoc},
     volume = {3},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2010_3_a27/}
}
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Victor V. Rozen. Equilibrium Points in Games with Ordered Outcomes. Contributions to game theory and management, Tome 3 (2010), pp. 368-386. http://geodesic.mathdoc.fr/item/CGTM_2010_3_a27/