Geodesic
Split of an Optimization Variable in Game Theory
R. Aboulaich1 ; A. Habbal2 ; N. Moussaid1
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
Mathematical modelling of natural phenomena, Tome 5 (2010) no. 7 Supplement, pp. 122-127

Voir la notice de l'article provenant de la source EDP Sciences

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
DOI : 10.1051/mmnp/20105720

R. Aboulaich 1 ; A. Habbal 2 ; N. Moussaid 1

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 
@article{10_1051_mmnp_20105720,
     author = {R. Aboulaich and A. Habbal and N. Moussaid},
     title = {Split of an {Optimization} {Variable} in {Game} {Theory}},
     journal = {Mathematical modelling of natural phenomena},
     pages = {122--127},
     publisher = {mathdoc},
     volume = {5},
     number = {7 Supplement},
     year = {2010},
     doi = {10.1051/mmnp/20105720},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105720/}
}
TY  - JOUR
AU  - R. Aboulaich
AU  - A. Habbal
AU  - N. Moussaid
TI  - Split of an Optimization Variable in Game Theory
JO  - Mathematical modelling of natural phenomena
PY  - 2010
SP  - 122
EP  - 127
VL  - 5
IS  - 7 Supplement
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105720/
DO  - 10.1051/mmnp/20105720
LA  - en
ID  - 10_1051_mmnp_20105720
ER  - 
%0 Journal Article
%A R. Aboulaich
%A A. Habbal
%A N. Moussaid
%T Split of an Optimization Variable in Game Theory
%J Mathematical modelling of natural phenomena
%D 2010
%P 122-127
%V 5
%N 7 Supplement
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105720/
%R 10.1051/mmnp/20105720
%G en
%F 10_1051_mmnp_20105720
R. Aboulaich; A. Habbal; N. Moussaid. Split of an Optimization Variable in Game Theory. Mathematical modelling of natural phenomena, Tome 5 (2010) no. 7 Supplement, pp. 122-127. doi: 10.1051/mmnp/20105720

[1] J. P. Aubin. Mathematical methods of game and economic theory. North-Holland Publishing Co. Amsterdam, New York, 1979.

[2] A. Habbal A topology Nash game for tumoral antangiogenesis Struct. Multidisc. Optim. 2005 404 412

[3] A. Habbal, J. Petersson, M. Thellner Multidisciplinary topology optimization solved as a Nash game Struct. Multidisc. Optim. 2004 949 963

[4] J. A. Désidéri. Split of territories in concurrent optimization. Rapport de recherche, INRIA, 2007.

Cité par Sources :