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Split of an Optimization Variable in Game Theory

Abstract : In the present paper, a general multiobjective optimization problem is stated as a Nash game. In the nonrestrictive case of two objectives, we address the problem of the splitting of the design variable between the two players. The so-called territory splitting problem is solved by means of an allocative approach. We propose two algorithms in order to find fair allocation tables.
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Submitted on : Tuesday, December 7, 2010 - 5:03:00 PM
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Rajae Aboulaich, Abderrahmane Habbal, Noureddine Moussaid. Split of an Optimization Variable in Game Theory. Mathematical Modelling of Natural Phenomena, EDP Sciences, 2010, 5 (7), pp.122-127. ⟨10.1051/mmnp/20105720⟩. ⟨inria-00544355⟩



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