Advantages and Drawbacks of Variational Inequalities Formulations
Advantages and Drawbacks of Variational Inequalities Formulations
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DOI：
10.1007/978-1-4899-1358-6_14
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发表时间：
1995
期刊：
影响因子：
--
通讯作者：
Marcotte Patrice
中科院分区：
文献类型：
--
作者：
Marcotte Patrice
In recent years, the Variational Inequality framework has been recognized as a powerful modelling tool in operations research and economics, whenever equilibrium relationships among several agents occur. This interest has prompted researchers to develop efficient algorithms for solving Variational Inequalities in finite dimensional spaces. In this presentation we will try to assess the advantages and possible drawbacks of Variational Inequality formulations, focusing on four problems: oligopoly models, traffic assignment, bilevel programming, multicriterion equilibrium. Each topic will be analyzed from the modelling and computational points of view. In particular we will see whether the Variational Inequality formulations of these models has led to a better understanding of their inner structure and to efficient solution algorithms.
