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Dynamic equilibrium at a congestible facility under market power (2017)

Publicación del investigador CEDEUS Hugo Silva en la revista "Transportation Research Part B: Methodological".

Posteado por Por Gianitsa Corral Fecha 4 de octubre, 2017

Title

Dynamic equilibrium at a congestible facility under market power (2017)

Publication Type

Journal Article

Year of Publication

2017

Authors

Erik T.Verho; Hugo E.Silva

Journal Title

Transportation Research Part B: Methodological

Keywords

Congestion pricing; dynamic congestion; market power; internalization

Abstract

This paper studies equilibrium and optimum at a congested facility when firms have market power; e.g., when a few airlines jointly use a congested airport. Unlike most of the previous literature, we characterize the equilibrium in terms of timing of arrivals in a continuous-time congestion model when firms simultaneously schedule services. Using the Henderson-Chu dynamic model of flow congestion in a multiple-firm setting, we find that a stable and unique Nash equilibrium in pure strategies always exists. Importantly, it also exists in cases where it fails to exist under bottleneck congestion (notably when the value of schedule late exceeds the value of travel delays). We find that symmetric firms schedule arrivals inefficiently, and strongly concentrated around the desired arrival time so that the peak is shorter and delays are higher than socially optimal. We show that when firms are asymmetric in terms of output, all firms schedule vehicles in the peak center, around the desired arrival time, with arrival windows increasing with firm size such that a smaller firm’s window is always fully contained in a larger firm’s window and only the largest firm operates in the early and late shoulders. Furthermore, for any pair of asymmetric firms, the larger firm has a higher instantaneous arrival rate at any moment where both firms schedule arrivals. Our results also show that even though self-internalization can be substantial, there is scope for decentralizing the first-best outcome through time-varying tolls.

DOI

https://doi.org/10.1016/j.trb.2017.08.028

Corresponding Author

Hugo Silva, husilva@uc.cl

Line (s) of

access and mobility

Access and mobility

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