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Equilibrium in a transportation game

  • Mathematical Game Theory and Applications
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Abstract

We study a noncooperative non-zero-sum m-player transportation game associated with the operation of the queueing system M/M/m on a graph. There are m transportation companies (carriers) serving the input flow of customers (passengers) with the exponential distribution of the service time described by the parameters μ i (i = 1, 2, …,m). The input flow forms a Poisson process with an intensity matrix Λ. The problem of pricing and optimal intensity evaluation is solved for each carrier in the case of competition.

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Authors and Affiliations

  1. Saint Petersburg State University, St. Petersburg, Russia

    A. V. Melnik

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  1. A. V. Melnik
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Correspondence to A. V. Melnik.

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Original Russian Text © A.V. Melnik, 2014, published in Matematicheskaya Teoriya Igr i Priloszheniya, 2014, No. 1, pp. 41–55.

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Melnik, A.V. Equilibrium in a transportation game. Autom Remote Control 76, 909–918 (2015). https://doi.org/10.1134/S000511791505015X

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  • DOI: https://doi.org/10.1134/S000511791505015X

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