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Noncooperative games with noncompact joint strategies sets: increasing best responses and approximation to equilibrium points
Kybernetika, Tome 47 (2011) no. 2, pp. 207-221 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this paper conditions proposed in Flores-Hernández and Montes-de-Oca [3] which permit to obtain monotone minimizers of unbounded optimization problems on Euclidean spaces are adapted in suitable versions to study noncooperative games on Euclidean spaces with noncompact sets of feasible joint strategies in order to obtain increasing optimal best responses for each player. Moreover, in this noncompact framework an algorithm to approximate the equilibrium points for noncooperative games is supplied.
In this paper conditions proposed in Flores-Hernández and Montes-de-Oca [3] which permit to obtain monotone minimizers of unbounded optimization problems on Euclidean spaces are adapted in suitable versions to study noncooperative games on Euclidean spaces with noncompact sets of feasible joint strategies in order to obtain increasing optimal best responses for each player. Moreover, in this noncompact framework an algorithm to approximate the equilibrium points for noncooperative games is supplied.
Classification : 91A10
Keywords: monotone maximizer in an optimization problem; noncooperative game; supermodular game; increasing optimal best response for each player; equilibrium point 
@article{KYB_2011_47_2_a2,
     author = {Flores-Hern\'andez, Rosa Mar{\'\i}a and Montes-de-Oca, Ra\'ul},
     title = {Noncooperative games with noncompact joint strategies sets: increasing best responses and approximation to equilibrium points},
     journal = {Kybernetika},
     pages = {207--221},
     year = {2011},
     volume = {47},
     number = {2},
     mrnumber = {2828573},
     zbl = {1215.91004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2011_47_2_a2/}
}
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Flores-Hernández, Rosa María; Montes-de-Oca, Raúl. Noncooperative games with noncompact joint strategies sets: increasing best responses and approximation to equilibrium points. Kybernetika, Tome 47 (2011) no. 2, pp. 207-221. http://geodesic.mathdoc.fr/item/KYB_2011_47_2_a2/

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