Split of an Optimization Variable in Game Theory

R. Aboulaich; A. Habbal; N. Moussaid

Mathematical Modelling of Natural Phenomena (2010)

  • Volume: 5, Issue: 7, page 122-127
  • ISSN: 0973-5348

Abstract

top
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

How to cite

top

Aboulaich, R., Habbal, A., and Moussaid, N.. Taik, A., ed. "Split of an Optimization Variable in Game Theory." Mathematical Modelling of Natural Phenomena 5.7 (2010): 122-127. <http://eudml.org/doc/197632>.

@article{Aboulaich2010,
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},
author = {Aboulaich, R., Habbal, A., Moussaid, N.},
editor = {Taik, A.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {multiobjective optimization; concurrent optimization; split of territories; Nash equilibrium; Pareto front},
language = {eng},
month = {8},
number = {7},
pages = {122-127},
publisher = {EDP Sciences},
title = {Split of an Optimization Variable in Game Theory},
url = {http://eudml.org/doc/197632},
volume = {5},
year = {2010},
}

TY - JOUR
AU - Aboulaich, R.
AU - Habbal, A.
AU - Moussaid, N.
AU - Taik, A.
TI - Split of an Optimization Variable in Game Theory
JO - Mathematical Modelling of Natural Phenomena
DA - 2010/8//
PB - EDP Sciences
VL - 5
IS - 7
SP - 122
EP - 127
AB - 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
LA - eng
KW - multiobjective optimization; concurrent optimization; split of territories; Nash equilibrium; Pareto front
UR - http://eudml.org/doc/197632
ER -

References

top
  1. J. P. Aubin. Mathematical methods of game and economic theory. North-Holland Publishing Co. Amsterdam, New York, 1979.  Zbl0452.90093
  2. A. Habbal. A topology Nash game for tumoral antangiogenesis. Struct. Multidisc. Optim., 30 (2005), 404–412. Zbl1243.91019
  3. A. Habbal, J. Petersson, M. Thellner. Multidisciplinary topology optimization solved as a Nash game. Struct. Multidisc. Optim., 61 (2004), 949–963. Zbl1075.74606
  4. J. A. Désidéri. Split of territories in concurrent optimization. Rapport de recherche, INRIA, 2007.  

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.