Random queues and risk averse users

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We analyse 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 and prove that it holds in all queueing regimes considered. The no residual queue property leads to simple results concerning the equilibrium utility of users and timing of the queue.
Note: We are grateful to Robin Lindsey, Katrine Hjorth, Hugo Harari-Kermadec, Søren Feodor Nielsen, Ken Small and seminar participants at the University of Copenhagen and at the Swedish Royal Institute of Technology for comments. Mogens Fosgerau is supported by the Danish Social Science Research Council. A special thanks is due to Richard Arnott, who gave as a number of very useful comments.

Mogens Fosgerau - Speaker

We analyse 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 and prove that it holds in all queueing regimes considered. The no residual queue property leads to simple results concerning the equilibrium utility of users and timing of the queue.
Note: We are grateful to Robin Lindsey, Katrine Hjorth, Hugo Harari-Kermadec, Søren Feodor Nielsen, Ken Small and seminar participants at the University of Copenhagen and at the Swedish Royal Institute of Technology for comments. Mogens Fosgerau is supported by the Danish Social Science Research Council. A special thanks is due to Richard Arnott, who gave as a number of very useful comments.
1 Jan 2009 → …

Conference

ConferenceRandom queues and risk averse users
CityStockholm
Period01/01/2009 → …
OtherWe analyse 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 and prove that it holds in all queueing regimes considered. The no residual queue property leads to simple results concerning the equilibrium utility of users and timing of the queue.

    Keywords

  • Congestion, Queuing, Risk aversion, Endogenous arrivals
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ID: 2370931