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Split of an Optimization Variable in GameTheory

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 Nashgame. In the nonrestrictive case of two objectives, we address the problem of thesplitting of the design variable between the two players. The so-called territorysplitting problem is solved by means of an allocative approach. We propose two algorithmsin 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 9thInternational 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.