A Game-Theoretic Approach to Line Planning

Authors Anita Schöbel, Silvia Schwarze

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Anita Schöbel
Silvia Schwarze

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Anita Schöbel and Silvia Schwarze. A Game-Theoretic Approach to Line Planning. In 6th Workshop on Algorithmic Methods and Models for Optimization of Railways (ATMOS'06). Open Access Series in Informatics (OASIcs), Volume 5, pp. 1-16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)


We present a game-theoretic model for the line planning problem in public transportation, in which each line acts as player and aims to minimize a cost function which is related to the traffic along its edges. We analyze the model and in particular show that a potential function exists. Based on this result, we present a method for calculating equilibria and present first numerical results using the railway network of {it Deutsche Bahn}.
  • Line Planning
  • Network Game
  • Equilibrium


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