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Physics of day-to-day network flow dynamics
16 references·16 citing·29 second hopsampled
Physics of day-to-day network flow dynamics (2016)Physics of day-to-day network flow dynami…Modeling the day-to-day traffic evolution process after an unexpected network disruption (2011)Modeling the day-to-day traff…A link-based day-to-day traffic assignment model (2009)A link-based day-to-day traff…Potential Games with Continuous Player Sets (2001)Potential Games with Continuo…Stability of the stochastic equilibrium assignment problem: a dynamical systems approach (1999)Stability of the stochastic e…Projected Dynamical Systems in the Formulation, Stability Analysis, and Computation of Fixed-Demand Traffic Network Equilibria (1997)Projected Dynamical Systems i…Potential Games (1996)Potential GamesDynamic Processes and Equilibrium in Transportation Networks: Towards a Unifying Theory (1995)Dynamic Processes and Equilib…Day-To-Day Dynamic Network Disequilibria and Idealized Traveler Information Systems (1994)Day-To-Day Dynamic Network Di…On Boundedly Rational User Equilibrium in Transportation Systems (1987)On Boundedly Rational User Eq…Urban transportation networks: Equilibrium analysis with mathematical programming methods (1986)Urban transportation networks…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…On Stochastic Models of Traffic Assignment (1977)On Stochastic Models of Traff…A class of games possessing pure-strategy Nash equilibria (1973)A class of games possessing p…Studies in the Economics of Transportation. (1957)Studies in the Economics of T…Studies in the Economics of Transportation. (1956)Studies in the Economics of T…Agentic Large Language Models for day-to-day route choices (2025)Agentic Large Language Models…Managing mixed traffic with autonomous vehicles – A day-to-day routing allocation scheme (2022)Managing mixed traffic with a…Can day-to-day dynamic model be solved analytically? New insights on portraying equilibrium and accommodating autonomous vehicles (2022)Can day-to-day dynamic model …Stable Day-to-Day Dynamics for Departure Time Choice (2020)Stable Day-to-Day Dynamics fo…Day-to-day dynamics with advanced traveler information (2020)Day-to-day dynamics with adva…Capturing the interaction between travel time reliability and route choice behavior based on the generalized Bayesian traffic model (2020)Capturing the interaction bet…Demand management with limited cooperation among travellers: A doubly dynamic approach (2019)Demand management with limite…Demand management with limited cooperation among travellers: A doubly dynamic approach (2019)Demand management with limite…A generalized Bayesian traffic model (2019)A generalized Bayesian traffi…Traffic dynamics in a bi-modal transportation network with information provision and adaptive transit services (2018)Traffic dynamics in a bi-moda…Day-to-Day Assignment Models and Traffic Dynamics Under Information Provision (2018)Day-to-Day Assignment Models …Exploration of day-to-day route choice models by a virtual experiment (2017)Exploration of day-to-day rou…Day-to-day departure time choice under bounded rationality in the bottleneck model (2017)Day-to-day departure time cho…Day-to-day departure time choice under bounded rationality in the bottleneck model (2017)Day-to-day departure time cho…A day-to-day route flow evolution process towards the mixed equilibria (2017)A day-to-day route flow evolu…Learning marginal-cost pricing via a trial-and-error procedure with day-to-day flow dynamics (2015)Learning marginal-cost pricin…Foundations of Economic Analysis. (1948)The existence, uniqueness and stability of traffic equilibria (1979)A Variational Inequality Formulation of the Dynamic Network User Equilibrium Problem (1993)Multiclass traffic assignment model for mixed traffic flow of human-driven vehicles and connected and autonomous vehicles (2019)A probabilistic multipath traffic assignment model which obviates path enumeration (1971)The measurement of urban travel demand (1974)An efficient approach to solving the road network equilibrium traffic assignment problem (1975)Discrete Choice Methods and their Applications to Short Term Travel Decisions (1999)Route choice modeling: past, present and future research directions (2009)A review of urban transportation network design problems (2013)Recursive Methods in Economic Dynamics (1989)A General Fixed-Point Approach to Multimode Multi-User Equilibrium Assignment with Elastic Demand (1997)Modelling network travel time reliability under stochastic demand (2004)Evolutionary stable strategies and game dynamics (1978)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)Models and algorithms for road network design: a review and some new developments (1998)Foundations of Dynamic Traffic Assignment: The Past, the Present and the Future (2001)Selfish Routing and the Price of Anarchy (2016)Equilibrium Points in Nonzero-Sum n -Person Submodular Games (1979)Multiagent systems: algorithmic, game-theoretic, and logical foundations (2009)Traffic Equilibrium and Variational Inequalities (1980)Evolutionary game dynamics (2003)The complexity of pure Nash equilibria (2004)Evolutionary games on graphs (2007)
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References

  • 1996Potential Games3,617 cited
  • 1986Urban transportation networks: Equilibrium analysis with mathematical programming methods2,352 cited
  • 1973A class of games possessing pure-strategy Nash equilibria2,008 cited
  • 1956Studies in the Economics of Transportation.1,614 cited
  • 1957Studies in the Economics of Transportation.1,489 cited
  • 1977On Stochastic Models of Traffic Assignment937 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
  • 1994Day-To-Day Dynamic Network Disequilibria and Idealized Traveler Information Systems403 cited
  • 1995Dynamic Processes and Equilibrium in Transportation Networks: Towards a Unifying Theory382 cited
  • 1984The stability of stochastic equilibrium in a two-link transportation network380 cited
  • 1987On Boundedly Rational User Equilibrium in Transportation Systems316 cited
  • 1997Projected Dynamical Systems in the Formulation, Stability Analysis, and Computation of Fixed-Demand Traffic Network Equilibria208 cited
  • 2009A link-based day-to-day traffic assignment model191 cited
  • 1999Stability of the stochastic equilibrium assignment problem: a dynamical systems approach

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184 cited
  • 2011Modeling the day-to-day traffic evolution process after an unexpected network disruption149 cited
  • Cited by

    • 2017Exploration of day-to-day route choice models by a virtual experiment53 cited
    • 2019Demand management with limited cooperation among travellers: A doubly dynamic approach47 cited
    • 2020Capturing the interaction between travel time reliability and route choice behavior based on the generalized Bayesian traffic model46 cited
    • 2017A day-to-day route flow evolution process towards the mixed equilibria42 cited
    • 2018Traffic dynamics in a bi-modal transportation network with information provision and adaptive transit services40 cited
    • 2020Day-to-day dynamics with advanced traveler information40 cited
    • 2017Day-to-day departure time choice under bounded rationality in the bottleneck model36 cited
    • 2015Learning marginal-cost pricing via a trial-and-error procedure with day-to-day flow dynamics34 cited
    • 2017Day-to-day departure time choice under bounded rationality in the bottleneck model27 cited
    • 2019A generalized Bayesian traffic model26 cited
    • 2025Agentic Large Language Models for day-to-day route choices25 cited
    • 2020Stable Day-to-Day Dynamics for Departure Time Choice22 cited
    • 2022Managing mixed traffic with autonomous vehicles – A day-to-day routing allocation scheme22 cited
    • 2018Day-to-Day Assignment Models and Traffic Dynamics Under Information Provision22 cited
    • 2019Demand management with limited cooperation among travellers: A doubly dynamic approach21 cited
    • 2022Can day-to-day dynamic model be solved analytically? New insights on portraying equilibrium and accommodating autonomous vehicles20 cited