 Day-to-day departure time choice under bounded rationality in the bottleneck modelRen-Yong Guo, Hai Yang, Hai-Jun Huang () and Xinwei Li Transportation Research Part B: Methodological, 2018, vol. 117, issue PB, 832-849 Abstract: We extend the proportional swap system by Smith (1984a) and the network tatonnement process by Friesz et al. (1994) to formulate the day-to-day evolution of departure time choice under bounded rationality in the bottleneck model. It is shown that the stationary points of the doubly dynamical systems exist and are equivalent to the boundedly rational user equilibrium (BRUE) points. We propose a dynamic pricing policy implemented in the day-to-day evolution process. Despite that the stationary points correspond to a set of BRUE points and the day-to-day departure rate without pricing may not converge to the set of BRUE points, the pricing policy can drive the day-to-day departure rate to reach a new equilibrium state, which is system-optimal (SO). The convergence to the SO state is theoretically proved. Finally, by numerical examples, we demonstrate the properties of the doubly dynamical systems and the effectiveness of the pricing policy. Keywords: Dynamical system; Bottleneck model; Boundedly rational user equilibrium (BRUE); System optimum (SO); congestion pricing (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:transb:v:117:y:2018:i:pb:p:832-849 Ordering information: This journal article can be ordered from DOI: 10.1016/j.trb.2017.08.016 Access Statistics for this article Transportation Research Part B: Methodological is currently edited by Fred Mannering More articles in Transportation Research Part B: Methodological from Elsevier |
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