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Equilibria of bilateral taxi-customer searching and meeting on networks

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  • Yang, Hai
  • Leung, Cowina W.Y.
  • Wong, S.C.
  • Bell, Michael G.H.
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Abstract

This paper proposes an equilibrium model to characterize the bilateral searching and meeting between customers and taxis on road networks. A taxi driver searches or waits for a customer by considering both the expected searching or waiting time cost and ride revenue, and a customer seeks a taxi ride to minimize full trip price. We suppose that the bilateral taxi-customer searching and meeting occurs anywhere in residential and commercial zones or at prescribed taxi stands, such as an airport or a railway station. We propose a meeting function to spell out the search and meeting frictions that arise endogenously as a result of the distinct spatial feature of the area and the taxi-customer moving decisions. With the proposed meeting function and the assumptions underlying taxi-customer search behaviors, the stationary competitive equilibrium achieved at fixed fare prices is determined when the demand of the customers matches the supply of taxis or there is market clearing at the prevailing searching and waiting times in every meeting location. We establish the existence of such an equilibrium by virtue of Brouwer's fixed-point theorem and demonstrate its principal operational characteristics with a numerical example.

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Bibliographic Info

Article provided by Elsevier in its journal Transportation Research Part B: Methodological.

Volume (Year): 44 (2010)
Issue (Month): 8-9 (September)
Pages: 1067-1083

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Handle: RePEc:eee:transb:v:44:y::i:8-9:p:1067-1083

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Related research

Keywords: Competitive equilibria Traffic network Meeting function Market friction Taxi industry;

References

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  1. Christopher A. Pissarides & Barbara Petrongolo, 2001. "Looking into the Black Box: A Survey of the Matching Function," Journal of Economic Literature, American Economic Association, vol. 39(2), pages 390-431, June.
  2. Mortensen, Dale T & Pissarides, Christopher A, 1994. "Job Creation and Job Destruction in the Theory of Unemployment," Review of Economic Studies, Wiley Blackwell, vol. 61(3), pages 397-415, July.
  3. Yang, Hai & Wong, S. C. & Wong, K. I., 2002. "Demand-supply equilibrium of taxi services in a network under competition and regulation," Transportation Research Part B: Methodological, Elsevier, vol. 36(9), pages 799-819, November.
  4. Häckner, Jonas & Nyberg, Sten, 1992. "Deregulating Taxi Services - A Word of Caution," Working Paper Series 353, Research Institute of Industrial Economics.
  5. Wong, K. I. & Wong, S. C. & Yang, Hai, 2001. "Modeling urban taxi services in congested road networks with elastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 35(9), pages 819-842, November.
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  8. Ricardo Lagos, 2003. "An Analysis of the Market for Taxicab Rides in New York City," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(2), pages 423-434, 05.
  9. Beesley, Michael E & Glaister, Stephen G, 1983. "Information for Regulating: The Case of Taxis," Economic Journal, Royal Economic Society, vol. 93(371), pages 594-615, September.
  10. Schaller, Bruce, 2007. "Entry controls in taxi regulation: Implications of US and Canadian experience for taxi regulation and deregulation," Transport Policy, Elsevier, vol. 14(6), pages 490-506, November.
  11. Daniel Flores-Guri, 2003. "An Economic Analysis of Regulated Taxicab Markets," Review of Industrial Organization, Springer, vol. 23(3_4), pages 255-266, December.
  12. Yang, Hai & Wong, S. C., 1998. "A network model of urban taxi services," Transportation Research Part B: Methodological, Elsevier, vol. 32(4), pages 235-246, May.
  13. Ricardo Lagos, 2000. "An Alternative Approach to Search Frictions," Journal of Political Economy, University of Chicago Press, vol. 108(5), pages 851-873, October.
  14. Mohring, Herbert, 1972. "Optimization and Scale Economies in Urban Bus Transportation," American Economic Review, American Economic Association, vol. 62(4), pages 591-604, September.
  15. Yang, Hai & Ye, Min & Tang, Wilson H. & Wong, S.C., 2005. "Regulating taxi services in the presence of congestion externality," Transportation Research Part A: Policy and Practice, Elsevier, vol. 39(1), pages 17-40, January.
  16. Adrian T. Moore & Ted Balaker, 2006. "Do Economists Reach a Conclusion on Taxi Deregulation?," Econ Journal Watch, Econ Journal Watch, vol. 3(1), pages 109-132, January.
  17. Arnott, Richard, 1996. "Taxi Travel Should Be Subsidized," Journal of Urban Economics, Elsevier, vol. 40(3), pages 316-333, November.
  18. Kenneth Burdett & Shouyong Shi & Randall Wright, 2001. "Pricing and Matching with Frictions," Journal of Political Economy, University of Chicago Press, vol. 109(5), pages 1060-1085, October.
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Cited by:
  1. Yang, Hai & Yang, Teng, 2011. "Equilibrium properties of taxi markets with search frictions," Transportation Research Part B: Methodological, Elsevier, vol. 45(4), pages 696-713, May.

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