关于L-罚函数方法的双准则观点--对Siddiqui和Gabriel求解MPEC的L-罚函数方法的更正
A bicriteria perspective on L-Penalty Approaches - A corrigendum to Siddiqui and Gabriel's L-Penalty Approach for Solving MPECs
摘要：
本文对Siddiqui S，Gabriel S（2013）中的定理2和定理3进行了更正，一种基于SOS 1的方法，用于解决具有天然气市场应用的MPEC，网络和空间经济学13（2）：205- 227。简而言之，我们修改的索赔，他们的L-惩罚的方法产生一个解决方案，满足互补的任何正值L，一般。当将L-惩罚方法解释为双准则最优化问题的加权和标量化时，这一点变得很明显。我们还阐述了进一步的假设下，L-罚的方法产生一个解决方案，满足互补性。
英文摘要：
This paper presents a corrigendum to Theorems 2 and 3 in Siddiqui S, Gabriel S (2013), An SOS1-Based Approach for Solving MPECs with a Natural Gas Market Application, Networks and Spatial Economics 13(2):205--227. In brief, we revise the claim that their L-penalty approach yields a solution satisfying complementarity for any positive value of L, in general. This becomes evident when interpreting the L-penalty method as a weighted-sum scalarization of a bicriteria optimization problem. We also elaborate further assumptions under which the L-penalty approach yields a solution satisfying complementarity.
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