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Split of an Optimization Variable in Game Theory

Author: Aboulaich R.  

Publisher: Edp Sciences

E-ISSN: 1760-6101|5|7|122-127

ISSN: 0973-5348

Source: Mathematical Modelling of Natural Phenomena , Vol.5, Iss.7, 2010-08, pp. : 122-127

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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