Highlights We apply cooperative game theory to cost allocation in rapid transit networks.We provide a reasonable set of conditions that an equitable solution should satisfy.We propose an equal cost sharing solution that is efficiently computed.The equal cost sharing solution is the unique solution to satisfy the conditions.We apply equal cost pricing to the Washington, D.C. Metro system.

    Abstract We consider the problem of allocating costs of a regional transit system to its users, who employ shortest path routes between all pairs of nodes in the system network. We provide an axiomatic set of conditions that a solution should satisfy and use cooperative game theory to model the cost allocation problem. We provide an allocation, called the equal cost share solution, which is efficient to compute and is the unique solution that satisfies the conditions. In addition, we show not only that the cost allocation game has a nonempty core, but further, that the game is concave, meaning that the Shapley value allocation, which coincides with the equal cost share solution, always lies in the core of the game. We provide an application of the equal cost share solution to the Washington, D.C. Metro transit network and compare it to the existing fare pricing structure. As compared to equal cost share pricing, the Metro overcharges for short downtown trips and undercharges for very long commutes. The equal cost share solution is easy to update in real time as the cost data and user distribution change, or when the transit network expands.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    A cooperative game approach to cost allocation in a rapid-transit network


    Contributors:


    Publication date :

    2016-11-30


    Size :

    14 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English






    Estimating cost functions for rail rapid transit properties

    Pozdena, Randall J. / Merewitz, Leonard | Elsevier | 1977



    Transit assistance allocation

    Forkenbrock, David J. / Dueker, Kenneth J. | Elsevier | 1979