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On lexicographic vector equilibrium problems. (English) Zbl 1061.90101

Summary: We consider vector equilibrium problems using the lexicographic order. We show that several classes of inverse lexicographic optimization problems can be reduced to lexicographic vector equilibrium problems. Some approaches to solve such problems are also suggested.

MSC:

90C29 Multi-objective and goal programming
91A40 Other game-theoretic models
49N45 Inverse problems in optimal control
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