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600451-00079-1 Report Abstract

Game-Theoretic Analysis of Dynamic Traffic Equilibria

Stephen D. Boyles, Christopher Melson, Tarun Rambha, and Jennifer C. Duthie, March 2014

Dynamic traffic assignment has grown steadily in popularity and use since its inception. It has become an important and permanent tool in transportation agencies across the country. However, the exact nature of dynamic traffic equilibrium, including existence and uniqueness results, is not fully known in simulationbased models. Specifically, we discuss the possibilities of unrealistic multiple equilibria that arise out of simplified flow models. We demonstrate this with a simple diverge-merge network and discuss piecewiselinear fundamental diagrams as one possible resolution.

Keywords: Dynamic Traffic Assignment, Multiple Equilibria, Fundamental Diagrams

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