Split of an Optimization Variable in Game Theory

被引：0

作者：

Aboulaich, R. ^{[1
]}

Habbal, A. ^{[2
]}

Moussaid, N. ^{[1
]}

机构：

[1] EMI, LERMA, Rabat, Morocco

[2] Univ Nice Sophia Antipolis, LJAD, F-06108 Nice 2, France

来源：

MATHEMATICAL MODELLING OF NATURAL PHENOMENA | 2010年 / 5卷 / 07期

关键词：

multiobjective optimization; concurrent optimization; split of territories; Nash equilibrium; Pareto front; NASH GAME;

D O I：

10.1051/mmnp/20105720

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页码：122 / 127

页数：6

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