So I'm trying to structure an MCP for Pyomo (with Python 3) where there's only one solution which fits all the complementary conditions, making the objective function redundant. Do I need to define an objective at all, or is there any way to define a dummy objective?
It depends on the solver that you are using. Some solvers will complain without the presence of an objective. My favorite ways to add a dummy include:
model.dummy = Objective(expr=1)model.dummy_var = Var(bounds=(0, 1)) with model.dummy = Objective(expr=model.dummy_var)