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Contributions to Game Theory and Management, 2010, Volume 3, Pages 368–386 (Mi cgtm97)  
This article is cited in 5 scientific papers (total in 5 papers)

Equilibrium Points in Games with Ordered Outcomes

Victor V. Rozen

Saratov State University, Astrakhanskaya St., 83, Saratov, 410012, Russia
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Abstract: 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.
Document Type: Article
Language: English
Citation: Victor V. Rozen, “Equilibrium Points in Games with Ordered Outcomes”, Contributions to Game Theory and Management, 3 (2010), 368–386
Citation in format AMSBIB
\Bibitem{Roz10}
\by Victor~V.~Rozen
\paper Equilibrium Points in Games with Ordered Outcomes
\jour Contributions to Game Theory and Management
\yr 2010
\vol 3
\pages 368--386
\mathnet{http://mi.mathnet.ru/cgtm97}
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  • https://www.mathnet.ru/eng/cgtm/v3/p368
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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