Summary
R−∈ criterion is considered for two-person finite games. For each pair of pure strategies, each player have a lottery concerning basic arranged results.
Problem of existence of equilibrium pairs is approached and a proof of this existence is given when a small modification of equilibrium pair’s concept is accomplished.
Extension ton-personal case is immediate and is omited.
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Bibliografia
J. de la Horra:Criterio R−∈ para juegos matemáticos (Tesis doctoral), Facultad de Ciencias Matermáticas de la Universidad Complutense de Madrid, 1977.
J. de la Horra:Criterio R−∈ para juegos matemáticos bipersonales. Real Academia de Ciencias Exactas, Físicas y Naturales (Por publicar).
S. Kakutani:A generalization of Brouwer’s fixed point theorem. Duke J. Math. 8 (1941)
G. Owen:Game Theory. Saunders Company, 1968.
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de la Horra Navarro, J. Teorema de existencia de pares de equilibrio R−∈ para juegos finitos. Trab. Estad. Invest. Oper. 30, 57–62 (1979). https://doi.org/10.1007/BF03028375
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DOI: https://doi.org/10.1007/BF03028375