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The Downs-Thomson Paradox: Existence, Uniqueness and Stability of User Equilibria
16 references·14 citing·39 second hop
The Downs-Thomson Paradox: Existence, Uniqueness and Stability of User Equilibria (2005)The Downs-Thomson Paradox: Existence, Uni…A survey on networking games in telecommunications (2004)A survey on networking games …To Queue or Not to Queue: Equilibrium Behavior in Queueing Systems (2003)To Queue or Not to Queue: Equ…Potential Games with Continuous Player Sets (2001)Potential Games with Continuo…The Law of Peak-Hour Expressway Congestion (1998)The Law of Peak-Hour Expressw…The Traffic Assignment Problem: Models and Methods (1994)The Traffic Assignment Proble…THE ECONOMICS OF TRAFFIC CONGESTION (1993)THE ECONOMICS OF TRAFFIC CONG…Competitive routing in multiuser communication networks (1993)Competitive routing in multiu…Evolution and the Theory of Games (1988)Evolution and the Theory of G…Deciding which queue to join: Some counterexamples (1986)Deciding which queue to join:…Deciding Which Queue to Join: Some Counterexamples (1986)Deciding Which Queue to Join:…The stability of stochastic equilibrium in a two-link transportation network (1984)The stability of stochastic e…The Stability of a Dynamic Model of Traffic Assignment—An Application of a Method of Lyapunov (1984)The Stability of a Dynamic Mo…Evolution and the Theory of Games (1982)Evolution and the Theory of G…The existence, uniqueness and stability of traffic equilibria (1979)The existence, uniqueness and…Great cities and their traffic (1977)Great cities and their trafficÜber ein Paradoxon aus der Verkehrsplanung (1968)Über ein Paradoxon aus der Ve…Bibliometric analysis and systematic literature review of the traffic paradoxes (1968–2022) (2023)Bibliometric analysis and sys…The Concept of Sustainable Mobility in Modern Megacities (2021)The Concept of Sustainable Mo…Routing of Strategic Passengers in a Transportation Station (2021)Routing of Strategic Passenge…Interpretations of Downs–Thomson paradox with median bus lane operations (2020)Interpretations of Downs–Thom…Strategic customer behavior in a two-stage batch processing system (2019)Strategic customer behavior i…Strategic Interactions in Transportation Networks (2018)Strategic Interactions in Tra…Equilibrium Strategies in M / M /1 Priority Queues with Balking (2018)Equilibrium Strategies in M /…Equilibrium threshold joining strategies in partially observable batch service queueing systems (2017)Equilibrium threshold joining…Equilibrium joining strategies in batch service queueing systems (2017)Equilibrium joining strategie…Customer equilibrium and optimal strategies in an M/M/1 queue with dynamic service control (2015)Customer equilibrium and opti…On the Downs–Thomson Paradox in a Self-Financing Two-Tier Queuing System (2014)On the Downs–Thomson Paradox …Strategic Queueing Behavior and Its Impact on System Performance in Service Systems with the Congestion-Based Staffing Policy (2012)Strategic Queueing Behavior a…Monotonicity properties of user equilibrium policies for parallel batch systems (2011)Monotonicity properties of us…User equilibria for a parallel queueing system with state dependent routing (2010)User equilibria for a paralle…The Regulation of Queue Size by Levying Tolls (1969)Matrix-Geometric Solutions to Stochastic Models (1984)Information Sharing and Supply Chain Coordination (2003)On the Value of Commitment and Availability Guarantees When Selling to Strategic Consumers (2008)On-Demand Service Platforms (2016)Studies in the Economics of Transportation. 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(1957)Optimal strategies: A new assignment model for transit networks (1989)A Variational Inequality Formulation of the Dynamic Network User Equilibrium Problem (1993)Foundations of Dynamic Traffic Assignment: The Past, the Present and the Future (2001)The Bargaining Problem (1950)The Evolution of Cooperation (1981)Game Theory in Wireless Networks: A Tutorial (2006)Distributed Welfare Games (2013)Real and Complex Monotone Communication Games (2014)Existence and Uniqueness of Equilibrium Points for Concave N-Person Games (1965)Dynamic Noncooperative Game Theory (1982)Achieving network optima using Stackelberg routing strategies (1997)The price of anarchy is independent of the network topology (2003)Games and Decisions (2015)Evolutionary stable strategies and game dynamics (1978)Potential Games (1996)Evolutionary Implementation and Congestion Pricing (2002)On the Global Convergence of Stochastic Fictitious Play (2002)Stable games and their dynamics (2009)Evolutionary Game Theory (2011)A stochastic process approach to the analysis of temporal dynamics in transportation networks (1989)Non-cooperative games (1989)Day-To-Day Dynamic Network Disequilibria and Idealized Traveler Information Systems (1994)Dynamic Processes and Equilibrium in Transportation Networks: Towards a Unifying Theory (1995)Evolutionary games and spatial chaos (1992)Five Rules for the Evolution of Cooperation (2006)Evolutionary games on graphs (2007)The Selfish Gene (1976)Evolutionary Games and Population Dynamics (1998)The Economics of Urban Transportation (2007)Trafficking Networks and the Mexican Drug War (2015)Selfish Routing and the Price of Anarchy (2016)The multi-class, multi-criteria traffic network equilibrium and systems optimum problem (2003)
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References

  • 1988Evolution and the Theory of Games7,904 cited
  • 1982Evolution and the Theory of Games6,930 cited
  • 2003To Queue or Not to Queue: Equilibrium Behavior in Queueing Systems1,052 cited
  • 1994The Traffic Assignment Problem: Models and Methods1,043 cited
  • 1968Über ein Paradoxon aus der Verkehrsplanung975 cited
  • 1979The existence, uniqueness and stability of traffic equilibria857 cited
  • 1993Competitive routing in multiuser communication networks555 cited
  • 2004A survey on networking games in telecommunications553 cited
  • 1984The Stability of a Dynamic Model of Traffic Assignment—An Application of a Method of Lyapunov487 cited
  • 2001Potential Games with Continuous Player Sets449 cited
  • 1993THE ECONOMICS OF TRAFFIC CONGESTION424 cited
  • 1984The stability of stochastic equilibrium in a two-link transportation network380 cited
  • 1998The Law of Peak-Hour Expressway Congestion360 cited
  • 1977Great cities and their traffic251 cited
  • 1986Deciding Which Queue to Join: Some Counterexamples235 cited
  • 1986Deciding which queue to join: Some counterexamples

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189 cited

Cited by

  • 2018Equilibrium Strategies in M / M /1 Priority Queues with Balking70 cited
  • 2017Equilibrium joining strategies in batch service queueing systems60 cited
  • 2015Customer equilibrium and optimal strategies in an M/M/1 queue with dynamic service control55 cited
  • 2014On the Downs–Thomson Paradox in a Self-Financing Two-Tier Queuing System53 cited
  • 2012Strategic Queueing Behavior and Its Impact on System Performance in Service Systems with the Congestion-Based Staffing Policy46 cited
  • 2017Equilibrium threshold joining strategies in partially observable batch service queueing systems27 cited
  • 2019Strategic customer behavior in a two-stage batch processing system20 cited
  • 2010User equilibria for a parallel queueing system with state dependent routing18 cited
  • 2011Monotonicity properties of user equilibrium policies for parallel batch systems12 cited
  • 2020Interpretations of Downs–Thomson paradox with median bus lane operations10 cited
  • 2023Bibliometric analysis and systematic literature review of the traffic paradoxes (1968–2022)9 cited
  • 2018Strategic Interactions in Transportation Networks7 cited
  • 2021Routing of Strategic Passengers in a Transportation Station5 cited
  • 2021The Concept of Sustainable Mobility in Modern Megacities4 cited