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...

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...

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...

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 presents alternative mathematical representations of the predictive intercity freight model developed by Harker and Friesz (1986). A nonlinear complementary formulation is developed and is then used to develop criteria for the existence and uniqueness of a solution to this model. A...

A reduction method is proposed which allows standard sensitivity techniques for variational inequalities to applied to equilibrium network flow problems without additional assumptions on either the underlying network or the numbers of active paths. In particular it is shown that under mild...

We are concerned in this paper with creating a dynamic description of interregional commodity movements which has steady states consistent with the traditional Samuelson-Takayama-Judge (STJ) static spatial price equilibrium model. This is accomplished by introducing a disequilibrium adjustment...

A Revolution in Infrastructure Network Research and Engineering? -- Networks and Dynamics: The Structure of the World We Live In -- Modeling Large Scale and Complex Infrastructure Systems as Computable Games -- Dynamic Competition on Networks: Differential Variational Inequalities, Limited...

This dissertation aims at modelling uncertainty and deriving managerial implications in different areas. Due to uncertainty and limited information, a firm may encounter difficulties in decision making and sometimes make wrong decision. For this reason, I provide models to incorporate...