On the Existence and Uniqueness of Equilibrium in the Bottleneck Model with Atomic Users

Published Online:https://doi.org/10.1287/trsc.2016.0672

References

  • Anderson SP, de Palma A, Thisse JF (1992) Discrete Choice Theory of Product Differentiation (MIT Press, Cambridge, MA).CrossrefGoogle Scholar
  • Arnott R, de Palma A, Lindsey R (1987) Bottleneck congestion with elastic demand. Discussion Paper 690, Institute for Economic Research, Queen’s University, Kingston, Ontario, Canada.Google Scholar
  • Arnott R, de Palma A, Lindsey R (1990) Economics of a bottleneck. J. Urban Econom. 27(1):111–130.CrossrefGoogle Scholar
  • Arnott R, de Palma A, Lindsey R (1993) A structural model of peak-period congestion: A traffic bottleneck with elastic demand. Amer. Econom. Rev. 83(1):161–179.Google Scholar
  • Arnott R, de Palma A, Lindsey R (1998) Recent developments in the bottleneck model. Button KJ, Verhoef ET, eds. Road Pricing, Traffic Congestion and the Environment: Issues of Efficiency and Social Feasibility (Edward Elgar, Aldershot, UK), 79–110.Google Scholar
  • Asensio J, Matas A (2008) Commuters valuation of travel time variability. Transportation Res. Part E: Logist. Transportation Rev. 44(6):1074–1085.CrossrefGoogle Scholar
  • Basso LJ, Zhang A (2007) Congestible facility rivalry in vertical structures. J. Urban Econom. 61(2):218–237.CrossrefGoogle Scholar
  • Brueckner JK (2002) Airport congestion when carriers have market power. Amer. Econom. Rev. 92(5):1357–1375.CrossrefGoogle Scholar
  • Brueckner JK (2005) Internalization of airport congestion: A network analysis. Internat. J. Indust. Organ. 23(7–8):599–614.CrossrefGoogle Scholar
  • Brueckner JK, Van Dender K (2008) Atomistic congestion tolls at concentrated airports? Seeking a unified view in the internalization debate. J. Urban Econom. 64(2):288–295.CrossrefGoogle Scholar
  • Catoni S, Pallottino S (1991) Technical note—Traffic equilibrium paradoxes. Transportation Sci. 25(3):240–244.LinkGoogle Scholar
  • Cominetti R, Correa JR, Stier-Moses NE (2009) The impact of oligopolistic competition in networks. Oper. Res. 57(6):1421–1437.LinkGoogle Scholar
  • Daniel JI (1995) Congestion pricing and capacity of large hub airports: A bottleneck model with stochastic queues. Econometrica 63(2):327–370.CrossrefGoogle Scholar
  • Daniel JI (2009) The deterministic bottleneck model with non-atomistic traffic. Working Paper 09–08, Department of Economics, University of Delaware, Newark.Google Scholar
  • Daniel JI, Harback KT (2008) (When) do hub airlines internalize their self-imposed congestion delays? J. Urban Econom. 63(2):583–612.CrossrefGoogle Scholar
  • de Palma A, Fontan C (2001) Eléments d’analyse de la composante horaire des déplacements: le cas de la région ile-de-france. Les Cahiers Scientifiques du Transport 39:55–86.Google Scholar
  • de Palma A, Fosgerau M (2011) Dynamic traffic modeling. de Palma A, Lindsey R, Quinet E, Vickerman R, eds. Handbook in Transport Economics (Edward Elgar, Cheltenham, UK),188–212.CrossrefGoogle Scholar
  • de Palma A, Ben-Akiva M, Lefevre C, Litinas N (1983) Stochastic equilibrium model of peak period traffic congestion. Transportation Sci. 17(4):430–453.LinkGoogle Scholar
  • Devarajan S (1981) A note of network equilibrium and noncooperative games. Transportation Res. Part B: Methodological 15(6):421–426.CrossrefGoogle Scholar
  • Economist, The (2013) Air cargo: Cabin fever. (November 2), http://www.economist.com/news/business/21588923-fedex-and-ups-have-turned-memphis-and-louisville-aerotropolises-cabin-fever.Google Scholar
  • Fotakis D, Kontogiannis S, Spirakis P (2008) Atomic congestion games among coalitions. ACM Trans. Algorithms (TALG) 4(4):1–27.CrossrefGoogle Scholar
  • Gutiérrez-i-Puigarnau E, Van Ommeren JN (2012) Start time and worker compensation implications for staggered-hours programmes. J. Transport Econom. Policy 46(2):205–220.Google Scholar
  • Harker PT (1988) Multiple equilibrium behaviors on networks. Transportation Sci. 22(1):39–46.LinkGoogle Scholar
  • Haurie A, Marcotte P (1985) On the relationship between Nash–Cournot and Wardrop equilibria. Networks 15(3):295–308.CrossrefGoogle Scholar
  • He F, Yin Y, Shirmohammadi N, Nie YM (2013) Tradable credit schemes on networks with mixed equilibrium behaviors. Transportation Res. Part B: Methodological 57:47–65.CrossrefGoogle Scholar
  • Hoefer M, Skopalik A (2009) Altruism in atomic congestion games. Fiat A, Sanders P, eds. Algorithms—ESA 2009, Lecture Notes Comput. Sci., Vol. 5757 (Springer-Verlag, Berlin Heidelberg), 179–189.CrossrefGoogle Scholar
  • Hotelling H (1929) Stability in competition. Economic J. 39(153):41–57.CrossrefGoogle Scholar
  • Levinson D (2005) Micro-foundations of congestion and pricing: A game theory perspective. Transportation Res. Part A: Policy Practice 39(7):691–704.CrossrefGoogle Scholar
  • Lindsey R (2004) Existence, uniqueness, and trip cost function properties of user equilibrium in the bottleneck model with multiple user classes. Transportation Sci. 38(3):293–314.LinkGoogle Scholar
  • Lindsey R, van den Berg VAC, Verhoef ET (2012) Step tolling with bottleneck queuing congestion. J. Urban Econom. 72(1):46–59.CrossrefGoogle Scholar
  • Marcotte P (1987) Algorithms for the network oligopoly problem. J. Oper. Res. Soc. 38(11):1051–1065.CrossrefGoogle Scholar
  • Miller TC, Tobin RL, Friesz TL (1991) Stackelberg games on a network with Cournot–Nash oligopolistic competitors. J. Regional Sci. 31(4):435–454.CrossrefGoogle Scholar
  • Molnar A (2013) Congesting the commons: A test for strategic congestion externalities in the airline industry. Working paper, Stanford University, Stanford, CA.Google Scholar
  • Mun S, Yonekawa M (2006) Flextime, traffic congestion and urban productivity. J. Transport Econom. Policy (JTEP) 40(3):329–358.Google Scholar
  • Newell GF (1987) The morning commute for nonidentical travelers. Transportation Sci. 21(2):74–88.LinkGoogle Scholar
  • Otsubo H, Rapoport A (2008) Vickrey’s model of traffic congestion discretized. Transportation Res. Part B: Methodological 42(10):873–889.CrossrefGoogle Scholar
  • Pels E, Verhoef ET (2004) The economics of airport congestion pricing. J. Urban Econom. 55(2):257–277.CrossrefGoogle Scholar
  • Reny PJ (1999) On the existence of pure and mixed strategy Nash equilibria in discontinuous games. Econometrica 67(5):1029–1056.CrossrefGoogle Scholar
  • Silva HE, Verhoef ET (2013) Optimal pricing of flights and passengers at congested airports and the efficiency of atomistic charges. J. Public Econom. 106:1–13.CrossrefGoogle Scholar
  • Silva HE, Verhoef ET, van den Berg VAC (2014) Airlines’ strategic interactions and airport pricing in a dynamic bottleneck model of congestion. J. Urban Econom. 80:13–27.CrossrefGoogle Scholar
  • Small KA (1982) The scheduling of consumer activities: Work trips. Amer. Econom. Rev. 72(3):467–479.Google Scholar
  • Vickrey WS (1969) Congestion theory and transport investment. Amer. Econom. Rev. 59(2):251–260.Google Scholar
  • Wardman M (2001) A review of British evidence on time and service quality valuations. Transportation Res. Part E: Logist. Transportation Rev. 37(2):107–128.CrossrefGoogle Scholar
  • Werth TL, Holzhauser M, Krumke SO (2014) Atomic routing in a deterministic queuing model. Oper. Res. Perspectives 1(1):18–41.CrossrefGoogle Scholar
  • Yang H, Zhang X (2008) Existence of anonymous link tolls for system optimum on networks with mixed equilibrium behaviors. Transportation Res. Part B: Methodological 42(2):99–112.CrossrefGoogle Scholar
  • Yang H, Zhang X, Meng Q (2007) Stackelberg games and multiple equilibrium behaviors on networks. Transportation Res. Part B: Methodological 41(8):841–861.CrossrefGoogle Scholar
  • Zhang A, Zhang Y (2006) Airport capacity and congestion when carriers have market power. J. Urban Econom. 60(2):229–247.CrossrefGoogle Scholar
  • Zou X, Levinson D (2006) A multi-agent congestion and pricing model. Transportmetrica 2(3):237–249.CrossrefGoogle Scholar
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