A general convex duality turns the perturbed utility route choice maximization into an unconstrained concave problem whose solution recovers unique link flows via convex conjugates, enabling fast optimization and revealing a circuit analogy.
Lemma 3 shows thath is closed proper convex, which implies that its conjugateh∗is closed proper convex (Rockafellar, 1970, Theorem 12.2)
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Convex Duality in Perturbed Utility Route Choice
A general convex duality turns the perturbed utility route choice maximization into an unconstrained concave problem whose solution recovers unique link flows via convex conjugates, enabling fast optimization and revealing a circuit analogy.