Random queues and risk averse users

doi:10.1016/j.ejor.2013.04.041

Random queues and risk averse users

2013-10-01

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Mogens Fosgerau *

DOI：10.1016/j.ejor.2013.04.041

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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. (C) 2013 Elsevier B.V. All rights reserved.

Keyword:

Congestion

Queuing

Risk aversion

Endogenous arrivals

Random queues and risk averse users

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