A Game-Theoretic Approach to Line Planning

Anita Schöbel · Silvia Schwarze

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Transportation Planning and Optimization Game Theory and Applications Railway Systems and Energy Efficiency

Abstract

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}.

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1991Generalized Nash games and quasi-variational inequalities 2012Models for fare planning in public transport

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2018Allocation method for transit lines considering the user equilibrium for operators 2018The line planning routing game 2013Finding delay-resistant line concepts using a game-theoretic approach

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