Solving a Class of Equilibrium Problems With Equilibrium Constraints*
Keyword(s):
Abstract An equilibrium problem with equilibrium constraints (EPEC) can be looked on as a generalized Nash equilibrium problem (GNEP) and the mathematical programs with equilibrium constraints (MPEC) whose constraints contain a parametric variational inequality or complementarity system. In this paper, we particularly consider a class of EPEC and solve its normalized stationary points where the multipliers of the leaders on the shared constraints are proportionable. We reformulate this kind of EPEC to a standard MPEC. In addition, we demonstrate the proposed approach on an EPEC model in similar products market.
2008 ◽
Vol 36
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pp. 461-464
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2012 ◽
Vol 57
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pp. 843-861
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2014 ◽
Vol 42
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pp. 398
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2018 ◽
Vol 452
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pp. 032047
2020 ◽
Vol 283
(3)
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pp. 1136-1147
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2014 ◽
Vol 95
(3)
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