Solving normalized stationary points of a class of equilibrium problem with equilibrium constraints

Peiyu li
2017 Journal of Industrial and Management Optimization  
This paper focuses on solving normalized stationary points of a class of equilibrium problem with equilibrium constraints (EPEC). We show that, under some kind of separability assumption, normalized C-/M-/S-stationary points of EPEC are actually C-/M-/S-stationary points of an associated mathematical program with equilibrium constraints (MPEC), which implies that we can solve MPEC to obtain normalized stationary points of EPEC. In addition, we demonstrate the proposed approach on competition of
more » ... h on competition of manufacturers for similar products in the same city. 2010 Mathematics Subject Classification. Primary: 90B50, 90C33; Secondary: 65K10.
doi:10.3934/jimo.2017065 fatcat:xdozbg2ylvct3lzttgtff6rqh4