Uniqueness of User Equilibrium in Transportation Networks with Heterogeneous Commuters

Published Online:https://doi.org/10.1287/trsc.1030.0047

References

  • Anderson S. P., de Palma A., Thisse J.-F.Discrete Choice Theory of Product Differentiation (1992) (MIT Press, Cambridge, MA) CrossrefGoogle Scholar
  • Arnott R., Yan A. The two mode problem: Second best pricing and capacity. Rev. Urban Regional Development Stud. (2000) 12:170–199CrossrefGoogle Scholar
  • Arnott R., de Palma A., Lindsey R. Route choice with heterogenous drivers and group-specific congestion costs. Regional Sci. Urban Econom. (1992) 22:71–102CrossrefGoogle Scholar
  • Arnott R. A. de Palma, Lindsey R. A structural model of peak-period congestion: A traffic bottleneck with elastic demand. Amer. Econom. Rev. (1993) 83:161–179Google Scholar
  • Beckmann M., McGuire C. B., Winsten C. B.Studies in the Economics of Transportation (1956) (Yale University Press, New Haven, CT) Google Scholar
  • Braess D. Über ein Paradoxon der Verkersplanung. Unternehmenforschung (1968) 12:258–268Google Scholar
  • Dafermos S. Traffic equilibria and variational inequalities. Transportation Sci. (1980) 14:42–54LinkGoogle Scholar
  • Daganzo C. F. Stochastic network equilibrium with multiple vehicle types and asymmetric, indefinite link cost Jacobians. Transportation Sci. (1983) 17:282–300LinkGoogle Scholar
  • Daganzo C. F. The uniqueness of a time-dependent equilibrium distribution of arrivals at a single bottleneck. Transportation Sci. (1985) 19:29–37LinkGoogle Scholar
  • Hildenbrand W.Core and Equilibria of a Large Economy (1974) (Princeton University Press, Princeton, NJ) Google Scholar
  • Jehiel P. Equilibrium on a traffic corridor with several congested modes. Transportation Sci. (1993) 27:16–24LinkGoogle Scholar
  • Judd K. L. The law of large numbers with a continuum of IID random variables. J. Econom. Theory (1985) 35:19–25CrossrefGoogle Scholar
  • Konishi H., Le Breton M., Weber S. Equilibrium in a model with partial rivalry. J. Econom. Theory (1997a) 72:225–237CrossrefGoogle Scholar
  • Konishi H., Le Breton M., Weber S. Pure strategy Nash equilibrium in a group formation game with positive externalities. Games Econom. Behavior (1997b) 21:161–182CrossrefGoogle Scholar
  • Kraus M., Yoshida Y. The commuter's time-of-use decision and optimal pricing and service in urban mass transit. J. Urban Econom. (2002) 51:170–195CrossrefGoogle Scholar
  • Mas-Colell A. On a theorem of Schmeidler. J. Math. Econom. (1984) 13:201–206CrossrefGoogle Scholar
  • Milchtaich I. Congestion games with player-specific payoff functions. Games Econom. Behavior (1996) 13:111–124CrossrefGoogle Scholar
  • Milchtaich I. Generic uniqueness of equilibrium in large crowding games. Math. Oper. Res. (2000) 25:349–364LinkGoogle Scholar
  • Milchtaich I. Network topology and the efficiency of equilibrium. (2001) . Working paper 12-01, Bar-Ilan UniversityGoogle Scholar
  • Nagurney A.Network Economics (1993) (Kluwer, Boston, MA) Google Scholar
  • Newell G. F. The morning commute for non-identical travelers. Transportation Sci. (1987) 21:74–88LinkGoogle Scholar
  • Quint T., Shubik M. A model of migration. (1994) . Cowles Foundation Discussion Paper, Yale University, New Haven, CTGoogle Scholar
  • Richter D. K., Griffin J., Arnott R. Dynamic user equilibria on a simple congested transportation network with heterogenous commuters. (1992) . Working paper, Boston College, Boston, MAGoogle Scholar
  • Rosenthal R. W. A class of games possessing pure-strategy Nash equilibrium. Internat. J. Game Theory (1973) 2:65–67CrossrefGoogle Scholar
  • Sandholm W. H. Potential games with continuous player sets. J. Econom. Theory (2001) 97:81–108CrossrefGoogle Scholar
  • Sandholm W. H. Evolutionary implementation and congestion pricing. Rev. Econom. Stud. (2002) 69:667–689CrossrefGoogle Scholar
  • Schmeidler D. Equilibrium points of nonatomic games. J. Statist. Phys. (1973) 7:295–300CrossrefGoogle Scholar
  • Sheffi Y.Urban Transportation Networks—Equilibrium Analysis with Mathematical Programming Methods (1985) (Prentice-Hall, Englewood Cliffs, NJ) Google Scholar
  • Small K., Yan J. The value of “value pricing” of roads: Second-best pricing and product differentiation. J. Urban Econom. (2001) 49:310–336CrossrefGoogle Scholar
  • Smith M. J. The existence of a time-dependent equilibrium distribution of arrivals at a single bottleneck. Transportation Sci. (1984) 18:385–394LinkGoogle Scholar
  • Tabuchi T., Zeng D.-Z. Stability of spatial equilibrium. (2001) . Working paper, University of Tokyo, Tokyo, JapanGoogle Scholar
  • Verhoef E. T., Small K. A. Product differentiation on roads: Constrained congestion pricing and heterogeneous users. J. Transport Econom. Policy (2004) . ForthcomingGoogle Scholar
  • Vickery W. S. Congestion theory and transport investment. Amer. Econom. Rev. (Papers Proc.) (1969) 59:251–260Google Scholar
  • Wie B. W. A differential game approach to the dynamic mixed behavior traffic network problem. Eur. J. Oper. Res. (1995) 83:117–136CrossrefGoogle Scholar
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.