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A Bicriteria Perspective on L -Penalty Approaches – a Corrigendum to Siddiqui and Gabriel’s L -Penalty Approach for Solving MPECs
Networks and Spatial Economics ( IF 1.6 ) Pub Date : 2019-02-28 , DOI: 10.1007/s11067-019-9440-7
Kerstin Dächert , Sauleh Siddiqui , Javier Saez-Gallego , Steven A. Gabriel , Juan Miguel Morales

This paper presents a corrigendum to Theorems 2 and 3 in Siddiqui and Gabriel (Netw Spatial Econ 13(2):205–227, 2013). 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.

中文翻译:

L-惩罚方法的双标准视角– Siddiqui和Gabriel的L-惩罚方法解决MPEC的更正

本文介绍了Siddiqui和Gabriel中定理2和定理3的勘误(Netw Spatial Econ 13(2):205-227,2013)。简而言之,我们修改了他们的L-罚金法产生的解决方案,该解决方案通常可满足L的任何正值的互补性。当将L-罚分法解释为双标准优化问题的加权和标量化时,这变得显而易见。我们还阐述了进一步的假设,在这些假设下,L-罚分法产生了一个满足互补性的解决方案。
更新日期:2019-02-28
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