Necessary and sufficient optimality conditions for mathematical programs with equilibrium constraints

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First-and second-order optimality conditions for mathematical programs with vanishing constraints (2007, result): “Our analysis here is motivated by a related result from [13] in the context of MPECs.”
Optimality Conditions for Disjunctive Programs with Application to Mathematical Programs with Equilibrium Constraints (2007, background): “[5, 29]), these results assume that the stronger MPEC-ACQ holds at the local minimizer ẑ.”
From human to humanoid locomotion—an inverse optimal control approach (2010, background): “Several very theoretical papers have been published on MPECs and corresponding optimality conditions and constraints qualifications, such as Ye (2005) .”
On the Abadie and Guignard constraint qualifications for Mathematical Programmes with Vanishing Constraints (2009, unknown): “, in [19, 7].”
Stationary conditions for mathematical programs with vanishing constraints using weak constraint qualifications (2008, methodology): “The analysis is motivated by similar considerations for MPECs in [37] and bilevel programs in [38], for example, see also the treatment for standard optimization problems in [21] and elsewhere.”
On the Guignard constraint qualification for mathematical programs with equilibrium constraints (2005, methodology): “See the treatise [4] for a more detailed discussion of MPEC-ACQ, as well as [23] for sufficient conditions for MPEC-ACQ.”