Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1132942 | Transportation Research Part B: Methodological | 2008 | 20 Pages |
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 input factor demands, while the transporters compete to capture the transportation demand generated by the seller/receiver transactions. Each competing agent’s extremal problem is formulated as an optimal control problem and the set of these coupled optimal control problems is transformed into a differential variational inequality representing the general Nash equilibrium problem. A nonlinear complementarity problem is also formulated and used to solve a numerical example.