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Split of an Optimization Variable in Game Theory

Published online by Cambridge University Press:  26 August 2010

A. Taik ,
R. Aboulaich ,
A. Habbal  and
N. Moussaid
R. Aboulaich*
Affiliation:
LERMA, E.M.I., Avenue Ibn Sina B.P 765, Agdal, Rabat. Morocco
A. Habbal
Affiliation:
LJAD, University of Nice Sophia-Antipolis, Valrose, 06108 Nice Cedex 2, France
N. Moussaid
Affiliation:
LERMA, E.M.I., Avenue Ibn Sina B.P 765, Agdal, Rabat. Morocco
*
* Corresponding author: E-mail: aboulaich@emi.ac.ma
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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

Keywords

multiobjective optimizationconcurrent optimizationsplit of territoriesNash equilibriumPareto front
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 5 , Issue 7: JANO9 – The 9th International Conference on Numerical Analysis and Optimization , 2010 , pp. 122 - 127
Copyright
© EDP Sciences, 2010

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References

J. P. Aubin. Mathematical methods of game and economic theory. North-Holland Publishing Co. Amsterdam, New York, 1979.
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J. A. Désidéri. Split of territories in concurrent optimization. Rapport de recherche, INRIA, 2007.