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...

This paper discusses the use in logistics management of the freight network equilibrium model, developed in Harker and Friesz (1985a, b), called the Generalized Spatial Price Equilibrium Model, or GSPEM. After this discussion, computational techniques for solving this model are presented. The...

We introduce the idea of a European-type congestion call option to value commuting to work along a given path for a given departure time selected by automobile drivers who are modeled as Cournot-Nash non-cooperative agents competing for limited roadway capacity when the alternative of...

An equivalent continuous time optimal control problem is formulated to predict the temporal evolution of traffic flow pattern on a congested multiple origin-destination network, corresponding to a dynamic generalization of Wardropian user equilibrium. Optimality conditions are derived using the...

A direct approach to performing sensitivity analysis for a spatial price equilibrium problem with nonlinear transportation cost, commodity supply and commodity demand functions is presented. The first order derivatives of all decision variables with respect to parameter perturbations are shown...

This paper reviews the problems associated with application of the concept of consumers' surplus to the measurement of benefits derived from a transportation investment. This review is warranted since such measurement is very complicated when alternative modes or different paths are available to...

The task of predicting the short run equilibrium of a transportation market is central to the study of many transportation problems. In this paper we review the different approaches and methodologies that have been proposed to deal with the equilibrium problem in transportation markets. The...

This paper reviews two classes of nontraditional models for the (dis)equilibrium network design problem and uses these to describe research needed to advance the state-of-the art in the design of both static and dynamic networks. The static equilibrium design model emphasized herein recalls an...

This paper presents a model for combined multiclass trip distribution, trip assignment and modal split. Although this model is based on an equivalent optimization problem, it avoids the symmetry restrictions heretofore always associated with such approaches to multiclass trip assignment. This is...