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Fair ticket pricing in public transport as a constrained cost allocation game

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  • Ralf Borndörfer
  • Nam-Dũng Hoang

Abstract

Ticket pricing in public transport usually takes a welfare maximization point of view. Such an approach, however, does not consider fairness in the sense that users of a shared infrastructure should pay for the costs that they generate. We propose an ansatz to determine fair ticket prices that combines concepts from cooperative game theory and linear and integer programming. The ticket pricing problem is considered to be a constrained cost allocation game, which is a generalization of cost allocation games that allows to deal with constraints on output prices and on the formation of coalitions. An application to pricing railway tickets for the intercity network of the Netherlands is presented. The results demonstrate that the fairness of prices can be improved substantially in this way. Copyright Springer Science+Business Media New York 2015

Suggested Citation

  • Ralf Borndörfer & Nam-Dũng Hoang, 2015. "Fair ticket pricing in public transport as a constrained cost allocation game," Annals of Operations Research, Springer, vol. 226(1), pages 51-68, March.
  • Handle: RePEc:spr:annopr:v:226:y:2015:i:1:p:51-68:10.1007/s10479-014-1698-z
    DOI: 10.1007/s10479-014-1698-z
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    1. Maschler, M. & Potters, J.A.M. & Tijs, S.H., 1992. "The general nucleolus and the reduced game property," Other publications TiSEM ab187dab-1b5b-40c3-a673-8, Tilburg University, School of Economics and Management.
    2. Gately, Dermot, 1974. "Sharing the Gains from Regional Cooperation: A Game Theoretic Application to Planning Investment in Electric Power," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 15(1), pages 195-208, February.
    3. Hallefjord, Asa & Helming, Reidun & Jornsten, Kurt, 1995. "Computing the Nucleolus When the Characteristic Function Is Given Implicitly: A Constraint Generation Approach," International Journal of Game Theory, Springer;Game Theory Society, vol. 24(4), pages 357-372.
    4. S.C. Littlechild & G.F. Thompson, 1977. "Aircraft Landing Fees: A Game Theory Approach," Bell Journal of Economics, The RAND Corporation, vol. 8(1), pages 186-204, Spring.
    5. Ralf Borndörfer & Marika Neumann & Marc E. Pfetsch, 2006. "Optimal Fares for Public Transport," Operations Research Proceedings, in: Hans-Dietrich Haasis & Herbert Kopfer & Jörn Schönberger (ed.), Operations Research Proceedings 2005, pages 591-596, Springer.
    6. Stefan Engevall & Maud Göthe-Lundgren & Peter Värbrand, 1998. "The traveling salesman game: An application ofcost allocation in a gas and oil company," Annals of Operations Research, Springer, vol. 82(0), pages 203-218, August.
    7. Maschler, M & Potters, J A M & Tijs, S H, 1992. "The General Nucleolus and the Reduced Game Property," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(1), pages 85-106.
    8. Ulrich Faigle & Walter Kern & Daniël Paulusma, 2000. "Note on the computational complexity of least core concepts for min-cost spanning tree games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 52(1), pages 23-38, September.
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    1. Antonín Pavlíček & František Sudzina, 2020. "Intergroup Comparison of Personalities in the Preferred Pricing of Public Transport in Rush Hours: Data Revisited," Sustainability, MDPI, vol. 12(12), pages 1-9, June.
    2. Jessica Rodríguez‐Pereira & Burcu Balcik & Marie‐Ève Rancourt & Gilbert Laporte, 2021. "A Cost‐Sharing Mechanism for Multi‐Country Partnerships in Disaster Preparedness," Production and Operations Management, Production and Operations Management Society, vol. 30(12), pages 4541-4565, December.

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