文献类型：期刊文献

英文题名：Mathematical programs with multiobjective generalized Nash equilibrium problems in the constraints

作者：Guo, Lei[1]

机构：[1]East China Univ Sci & Technol, Sch Business, Shanghai 200237, Peoples R China

年份：2021

卷号：49

期号：1

起止页码：11

外文期刊名：OPERATIONS RESEARCH LETTERS

收录：;EI(收录号：20204709508921);WOS:【SCI-EXPANDED(收录号:WOS:000610832200003)】；

基金：The author is grateful to the referees for their helpful suggestions and comments that greatly improved the paper. The work is supported by NSFC, China Grant (Nos. 71632007, 11771287).

语种：英文

外文关键词：Multiobjective optimization; Bilevel program; Generalized Nash equilibrium; MPEC

摘要：This paper considers a class of mathematical programs that include multiobjective generalized Nash equilibrium problems in the constraints. Little research can be found in the literature although it has some interesting applications. We present a single level reformulation for this kind of problems and show their equivalence in terms of global and local minimizers. We find that the reformulation is a special case of the so-called mathematical program with equilibrium constraints which is extensively studied in the literature. (c) 2020 Elsevier B.V. All rights reserved.