Abstract
A theory of dynamic congestion pricing for the day-to-day time scale is presented which takes the form of a continuous time optimal control problem. The formulation accomodates elastic nonseparable travel demands and nonseparable travel costs. Necessary conditions for optimal congestion prices are analyzed to uncover bang-bang, singular and synthesized optimal control decison rules for setting network tolls in a dynamic environment. These decision rules are shown to be sufficient for optimality under plausible regularity conditions.
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