Location Game and Applications in Transportation Networks

Vladimir Mazalov, Anna Shchiptsova and Yulia Tokareva
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Vladimir Mazalov: Institute of Applied Mathematical Research
Anna Shchiptsova: Institute of Applied Mathematical Research
Yulia Tokareva: Transbaikal State University

A chapter in Computational Management Science, 2016, pp 55-61 from Springer

Abstract: Abstract We consider a market where the consumers are distributed in the vertexes of a transportation graph. The edges of the graph are the transportation links. The vertexes are the hubs. The consumers are the passengers who use this kind of transportation. The demand is determined by the flow of passengers. There are n companies (players) who make a service in this market. First, players form their transportation networks, and then they announce the prices for the service. The objective of a player is to maximize the payoff. We derive the equilibrium in this non-cooperative game. The results of numerical simulations are provided.

Keywords: Nash Equilibrium; Transportation Network; Chinese Market; General Gain; Russian Market (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:lnechp:978-3-319-20430-7_8

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DOI: 10.1007/978-3-319-20430-7_8

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