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In this paper, we consider a heterogeneous traffic network with multipleusers classes which differ considerably in their path selection objective. Inparticular, we consider two classes of users: ones who seek to minimize socialcost (socialists) and the ones with typical greedy objective (anarchists) whichleads to a heterogeneous game termed as HetGame. The paper proposes ananalytical framework to derive optimal/equilibrium flow in such a heterogeneousgame along with a method for the same. The paper considers multiple examples ofdifferent networks to derive the optimal traffic assignment. We introduce twometrics: price of $\alpha$ anarchy and price of good behavior to evaluate theimpact of anarchists and implications of central directives. Finally, theproposed algorithm is implemented for a real traffic network to deriveinsights.

Modeling and Analysis of Heterogeneous Traffic Networks with Anarchists and Socialist Traffic