caa a22 4500 463169727 CHVBK 20180406164809.0 cr unu---uuuuu 170326e20071101xx s 000 0 eng 10.1007/s10957-007-9245-6 doi (NATIONALLICENCE)springer-10.1007/s10957-007-9245-6 Nondominated Equilibrium Solutions of a Multiobjective Two-Person Nonzero-Sum Game and Corresponding Mathematical Programming Problem [Elektronische Daten] [I. Nishizaki, T. Notsu] 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. Springer Science+Business Media, LLC, 2007 Nondominated equilibrium solutions nationallicence Multiobjective two-person nonzero-sum games nationallicence Mathematical programming problems nationallicence Nishizaki I. Graduate School of Engineering, Hiroshima University, 1-4-1 Kagamiyama, 739-8527, Higashi-Hiroshima, Japan aut Notsu T. Graduate School of Engineering, Hiroshima University, 1-4-1 Kagamiyama, 739-8527, Higashi-Hiroshima, Japan aut Journal of Optimization Theory and Applications Springer US; http://www.springer-ny.com 135/2(2007-11-01), 217-239 0022-3239 135:2<217 2007 135 10957 https://doi.org/10.1007/s10957-007-9245-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9245-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Nishizaki I. Graduate School of Engineering, Hiroshima University, 1-4-1 Kagamiyama, 739-8527, Higashi-Hiroshima, Japan aut NATIONALLICENCE 700 1- Notsu T. Graduate School of Engineering, Hiroshima University, 1-4-1 Kagamiyama, 739-8527, Higashi-Hiroshima, Japan aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Springer US; http://www.springer-ny.com 135/2(2007-11-01), 217-239 0022-3239 135:2<217 2007 135 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 457617659 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer