| Issue |
Math. Model. Nat. Phenom.
Volume 5, Number 7, 2010
JANO9 – The 9th International Conference on Numerical Analysis and Optimization
|
|
|---|---|---|
| Page(s) | 122 - 127 | |
| DOI | https://doi.org/10.1051/mmnp/20105720 | |
| Published online | 26 August 2010 | |
Split of an Optimization Variable in Game Theory
1
LERMA, E.M.I., Avenue
Ibn Sina B.P 765, Agdal, Rabat. Morocco
2
LJAD, University of Nice Sophia-Antipolis, Valrose, 06108
Nice Cedex 2,
France
* Corresponding author: E-mail:
aboulaich@emi.ac.ma
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
Mathematics Subject Classification: 91A10
Key words: multiobjective optimization / concurrent optimization / split of territories / Nash equilibrium / Pareto front
© EDP Sciences, 2010
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