Random queues and risk averse users

André de Palma, Mogens Fosgerau*

*Corresponding author for this work
11 Citations (Scopus)

Abstract

We analyze Nash equilibrium in time of use of a congested facility. Users are risk averse with general concave utility. Queues are subject to varying degrees of random sorting, ranging from strict queue priority to a completely random queue. We define the key "no residual queue" property, which holds when there is no queue at the time the last user arrives at the queue, and prove that this property holds in equilibrium under all queueing regimes considered. The no residual queue property leads to simple results concerning the equilibrium utility of users and the timing of the queue.

Original languageEnglish
JournalEuropean Journal of Operational Research
Volume230
Issue number2
Pages (from-to)313-320
Number of pages8
ISSN0377-2217
DOIs
Publication statusPublished - 16 Oct 2013

Keywords

  • Congestion Queuing Risk aversion Endogenous arrivals

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