Random queues and risk averse users
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.
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- Hassin, Refael, 1985. "On the Optimality of First Come Last Served Queues," Econometrica, Econometric Society, vol. 53(1), pages 201-02, January.
- Blanc, J.P.C., 2009.
"Bad luck when joining the shortest queue,"
European Journal of Operational Research,
Elsevier, vol. 195(1), pages 167-173, May.
- Richard Arnott & Andre de Palma & Robin Lindsey, 1996.
"Information and Time-of-Usage Decisions in the Bottleneck Model with Stochastic Capacity and Demand,"
Boston College Working Papers in Economics
355., Boston College Department of Economics.
- Arnott, Richard & de Palma, Andre & Lindsey, Robin, 1999. "Information and time-of-usage decisions in the bottleneck model with stochastic capacity and demand," European Economic Review, Elsevier, vol. 43(3), pages 525-548, March.
- R. Arnott & A. de Palma & R. Lindsey, 1997. "Information and time-of-usage decisions in the bottleneck model with stochastic capacity and demand," THEMA Working Papers 97-13, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- Arnott, Richard & de Palma, Andre & Lindsey, Robin, 1993. "A Structural Model of Peak-Period Congestion: A Traffic Bottleneck with Elastic Demand," American Economic Review, American Economic Association, vol. 83(1), pages 161-79, March.
- De Palma, Andre & Arnott, Richard, 1989. "The temporal use of a telephone line," Information Economics and Policy, Elsevier, vol. 4(2), pages 155-174.
- Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-60, May.
- Becker, Gary S, 1991.
"A Note on Restaurant Pricing and Other Examples of Social Influences on Price,"
Journal of Political Economy,
University of Chicago Press, vol. 99(5), pages 1109-16, October.
- Gary S. Becker, 1991. "A Note on Restaurant Pricing and Other Examples of Social Influences on Price," University of Chicago - George G. Stigler Center for Study of Economy and State 67, Chicago - Center for Study of Economy and State.
- Arnott, Richard J., 1979. "Unpriced transport congestion," Journal of Economic Theory, Elsevier, vol. 21(2), pages 294-316, October.
- Yoshida, Yuichiro, 2008. "Commuter arrivals and optimal service in mass transit: Does queuing behavior at transit stops matter?," Regional Science and Urban Economics, Elsevier, vol. 38(3), pages 228-251, May.
- André De Palma & Mogens Fosgerau, 2010. "Dynamic and Static congestion models: A review," Working Papers hal-00539166, HAL.
- Osorio, Carolina & Bierlaire, Michel, 2009. "An analytic finite capacity queueing network model capturing the propagation of congestion and blocking," European Journal of Operational Research, Elsevier, vol. 196(3), pages 996-1007, August.
- Michael Sattinger, 2002. "A Queuing Model of the Market for Access to Trading Partners," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(2), pages 533-548, May.
- Naor, P, 1969. "The Regulation of Queue Size by Levying Tolls," Econometrica, Econometric Society, vol. 37(1), pages 15-24, January.
- Glazer, Amihai & Hassin, Refael, 1983. "?/M/1: On the equilibrium distribution of customer arrivals," European Journal of Operational Research, Elsevier, vol. 13(2), pages 146-150, June.
- Arnott, Richard & de Palma, Andre & Lindsey, Robin, 1996. "Information and Usage of Free-Access Congestible Facilities with Stochastic Capacity and Demand," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(1), pages 181-203, February.
- Knudsen, Niels Chr, 1972. "Individual and Social Optimization in a Multiserver Queue with a General Cost-Benefit Structure," Econometrica, Econometric Society, vol. 40(3), pages 515-28, May.
- Daniel, Joseph I, 1995. "Congestion Pricing and Capacity of Large Hub Airports: A Bottleneck Model with Stochastic Queues," Econometrica, Econometric Society, vol. 63(2), pages 327-70, March.
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