Nash equilibria for a model of traffic flow with several groups of drivers
Alberto Bressan, Ke Han (2012)
ESAIM: Control, Optimisation and Calculus of Variations
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Traffic flow is modeled by a conservation law describing the density of cars. It is assumed that each driver chooses his own departure time in order to minimize the sum of a departure and an arrival cost. There are groups of drivers, The -th group consists of drivers, sharing the same departure and arrival costs (), (). For any given population sizes ,, , we prove the existence of a Nash equilibrium solution,...