Hostname: page-component-7dd5485656-glrdx Total loading time: 0 Render date: 2025-10-31T00:26:58.036Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

J. P. Aubin. Mathematical methods of game and economic theory. North-Holland Publishing Co. Amsterdam, New York, 1979.
Habbal, A.. A topology Nash game for tumoral antangiogenesis . Struct. Multidisc. Optim., 30 (2005), 404–412.CrossRefGoogle Scholar
Habbal, A., Petersson, J., Thellner, M.. Multidisciplinary topology optimization solved as a Nash game . Struct. Multidisc. Optim., 61 (2004), 949–963.Google Scholar
J. A. Désidéri. Split of territories in concurrent optimization. Rapport de recherche, INRIA, 2007.