Equilibrium Prices and Flows in the Passenger Traffic Problem

V. V. Mazalov and A. V. Melnik ()
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V. V. Mazalov: Institute of Applied Mathematical Research, Karelian Research Center, Russian Academy of Sciences, Pushkinskaya str. 11, Petrozavodsk 185910, Russia
A. V. Melnik: Saint-Petersburg State University, Universitetskii pr. 35, Saint Petersburg 198504, Russia

International Game Theory Review (IGTR), 2016, vol. 18, issue 01, 1-19

Abstract: This paper considers a noncooperative transport game of n players on a communication graph. Here players are passenger transportation companies (carriers). Service requests form a Poisson process with an intensity rate matrix Λ. Players announce prices for their services and passengers choose an appropriate service by minimizing their individual costs (the ticket price and the expected service time). For each carrier, we solve the pricing problem and define the equilibrium intensity flows in the conditions of competition. A special emphasis is placed on polynomial latency functions.

Keywords: Traffic flow; equilibrium prices; Wardrop equilibrium; BPR latency function (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (5)

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DOI: 10.1142/S0219198916500018

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