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JOURNALS // Matematicheskaya Teoriya Igr i Ee Prilozheniya // Archive

Mat. Teor. Igr Pril., 2014 Volume 6, Issue 1, Pages 19–40 (Mi mgta125)

This article is cited in 4 papers

On equilibrium properties in multicriteria extensive $n$-person games

Denis V. Kuzyutinab, Mariya V. Nikitinaab, Yaroslavna B. Pankratovaab

a Saint-Petersburg State University
b International Banking Institute

Abstract: 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.

Keywords: multicriteria games, extensive games, subgame perfect equilibrium, Pareto equilibria, time consistency, reduced game.

UDC: 518.9
BBK: 22.18



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