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Instantaneous Dynamic Equilibria: Existence, Computation and Quality

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  • Lukas Graf

    (University of Passau)

Abstract

Instantaneous dynamic equilibria (IDE) are an equilibrium concept for flows over time with deterministic queueing wherein individual flow particles make selfish decisions based on current information. This can be used as a model for car traffic where each driver initially chooses her route in such a way as to minimize her travel time under the current congestion state of the road network and then continuously adapts her route while driving. In this paper we summarize the main results from the author’s dissertation [4] on this topic, which addresses the following three fundamental questions: Under which conditions are IDE guaranteed to exist? Can we compute IDE and, if so, what is the computational complexity of such a computation? How do IDE compare to system optimal flows when considering different quality measure such as total travel time or makespan?

Suggested Citation

  • Lukas Graf, 2025. "Instantaneous Dynamic Equilibria: Existence, Computation and Quality," Lecture Notes in Operations Research,, Springer.
    • Handle: RePEc:spr:lnopch:978-3-031-92575-7_1
    DOI: 10.1007/978-3-031-92575-7_1
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