Request help solving a Mathematical Programming with Equilibrium Constraints problem in JuMP?

Yes, writing out each component as a separate constraint will work.

Do you think that my adding of the constraint using maximum(abs.(EVₙ .- EV)) == 0 be a problem

Note that Ipopt assumes certain properties of the nonlinear functions (smooth, twice differentiable, etc.). It will still run, but you may have convergence issues, etc.

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