Nondominated Equilibrium Solutions of a Multiobjective Two-Person Nonzero-Sum Game and Corresponding Mathematical Programming Problem

I. Nishizaki () and T. Notsu
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I. Nishizaki: Hiroshima University
T. Notsu: Hiroshima University

Journal of Optimization Theory and Applications, 2007, vol. 135, issue 2, No 3, 217-239

Abstract: Abstract With reference to a multiobjective two-person nonzero-sum game, we define nondominated equilibrium solutions and provide a necessary and sufficient condition for a pair of mixed strategies to be a nondominated equilibrium solution. Using the necessary and sufficient condition, we formulate a mathematical programming problem yielding nondominated equilibrium solutions. We give a numerical example and demonstrate that nondominated equilibrium solutions can be obtained by solving the formulated mathematical programming problem.

Keywords: Nondominated equilibrium solutions; Multiobjective two-person nonzero-sum games; Mathematical programming problems (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-007-9245-6

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