On equilibrium properties in multicriteria extensive $n$-person games
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 6 (2014) no. 1, pp. 19-40

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The paper considers Pareto equilibria properties in multicriteria extensive $n$-person games (with perfect or incomplete information). It is proved that the set of all equilibriums satisfies time consistency but does not satisfy the dynamical compatibility property. The axiomatic characterization of subgame perfect equilibrium in multicriteria extensive games with perfect information is derived.
Mots-clés : multicriteria games, subgame perfect equilibrium, Pareto equilibria
Keywords: extensive games, time consistency, reduced game.
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     author = {Denis V. Kuzyutin and Mariya V. Nikitina and Yaroslavna B. Pankratova},
     title = {On equilibrium properties in multicriteria extensive $n$-person games},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
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     number = {1},
     year = {2014},
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Denis V. Kuzyutin; Mariya V. Nikitina; Yaroslavna B. Pankratova. On equilibrium properties in multicriteria extensive $n$-person games. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 6 (2014) no. 1, pp. 19-40. http://geodesic.mathdoc.fr/item/MGTA_2014_6_1_a1/