In this paper we present a dual-time-scale formulation of dynamic user equilibrium (DUE) with demand evolution. Our formulation belongs to the problem class that Pang and Stewart (2008) refer to as differential variational inequalities. It combines the within-day time scale for which route and...

Traffic assignment is a set of criteria through which the demand for mobility is distributed over the links of a transport network. Over the last 30 years, Dynamic Traffic Assignment (DTA) models have been developed to support time-dependent analyses in nascent fields that need to take into...

In this paper, we propose a dynamic, game theoretic model of dynamic pricing in an urban freight environment with three main entities: sellers, transporters and receivers. The sellers and transporters are modelled as non-cooperative Cournot-Nash agents. The sellers compete to capture receiver...

In this paper, we show that the differential Cournot-Nash game describing dynamic oligopolistic network competition may be articulated as a differential variational inequality involving both control and state variables. We exploit this formulation to establish necessary conditions, an existence...