Advanced Search
MyIDEAS: Login

Random queues and risk averse users

Contents:

Author Info

  • De Palma, André
  • Fosgerau, Mogens

Abstract

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, 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.

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: http://mpra.ub.uni-muenchen.de/24215/
File Function: original version
Download Restriction: no

File URL: http://mpra.ub.uni-muenchen.de/47048/
File Function: revised version
Download Restriction: no

Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 24215.

as in new window
Length:
Date of creation: 2010
Date of revision:
Handle: RePEc:pra:mprapa:24215

Contact details of provider:
Postal: Schackstr. 4, D-80539 Munich, Germany
Phone: +49-(0)89-2180-2219
Fax: +49-(0)89-2180-3900
Web page: http://mpra.ub.uni-muenchen.de
More information through EDIRC

Related research

Keywords: Congestion; Queuing; Risk aversion; Endogenous arrivals;

Other versions of this item:

Find related papers by JEL classification:

This paper has been announced in the following NEP Reports:

References

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
as in new window
  1. 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.
  2. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-60, May.
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. Blanc, J.P.C., 2008. "Bad Luck When Joining the Shortest Queue," Discussion Paper 2008-54, Tilburg University, Center for Economic Research.
  9. Naor, P, 1969. "The Regulation of Queue Size by Levying Tolls," Econometrica, Econometric Society, vol. 37(1), pages 15-24, January.
  10. 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.
  11. 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.
  12. 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.
  13. Hassin, Refael, 1985. "On the Optimality of First Come Last Served Queues," Econometrica, Econometric Society, vol. 53(1), pages 201-02, January.
  14. 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.
  15. Arnott, Richard J., 1979. "Unpriced transport congestion," Journal of Economic Theory, Elsevier, vol. 21(2), pages 294-316, October.
  16. De Palma, Andre & Arnott, Richard, 1989. "The temporal use of a telephone line," Information Economics and Policy, Elsevier, vol. 4(2), pages 155-174.
Full references (including those not matched with items on IDEAS)

Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as in new window

Cited by:
  1. Platz, Trine Tornøe & Østerdal, Lars Peter, 2012. "The curse of the first-in-first-out queue discipline," Discussion Papers of Business and Economics 10/2012, Department of Business and Economics, University of Southern Denmark.
  2. Mogens Fosgerau & André De Palma & Anders Karlstrom & Kenneth A. Small, 2012. "Trip timing and scheduling preferences," Working Papers hal-00742267, HAL.
  3. Fosgerau, Mogens & de Palma, André, 2012. "Congestion in a city with a central bottleneck," Journal of Urban Economics, Elsevier, vol. 71(3), pages 269-277.
  4. Fosgerau, Mogens, 2011. "How a fast lane may replace a congestion toll," Transportation Research Part B: Methodological, Elsevier, vol. 45(6), pages 845-851, July.
  5. Mogens Fosgerau & André De Palma, 2012. "The dynamics of urban traffic congestion and the price of parking," Working Papers hal-00742104, HAL.
  6. Fosgerau, Mogens & Lindsey, Robin, 2013. "Trip-timing decisions with traffic incidents," Regional Science and Urban Economics, Elsevier, vol. 43(5), pages 764-782.
  7. Fosgerau, Mogens & de Palma, André, 2013. "The dynamics of urban traffic congestion and the price of parking�," MPRA Paper 48433, University Library of Munich, Germany.

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:24215. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Ekkehart Schlicht).

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.