Abstract
This article gives an overview on some of the results of the author’s PhD thesis [7]. This thesis deals with the cost allocation problem, which arises when several participants share the costs of building or using a common infrastructure.We attempt to answer the question: What is a fair cost allocation among participants? By combining cooperative game theory and state-of-the-art algorithms from linear and integer programming, our work not only defines fair cost allocations but also calculates them numerically for large real-world applications.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bussieck, M. R.: Optimal Lines in Public Rail Transport. PhD Thesis, TU Braunschweig (1998)
Dantzig, G. B.: On the Significance of Solving Linear Programming Problems with Some Integer Variables. Econometrica 28, 30–44 (1960)
Faigle, U., Kern, W., Kuipers, J.: On the computation of the nucleolus of a cooperative game. Internat. J. Game Theory 30, 79–98 (2001)
Faigle, U., Kern, W., Paulusma, D.: Note on the Computational Complexity of Least Core Concepts for min-cost Spanning Tree Games. Math. Methods of Operations Research 52, 23–38 (2000)
Grötschel, M., Lov´asz, L., Schrijver, A.: Geometric algorithms and combinatorial optimization, 2. corr. ed., Springer (1993)
Hallefjord, A., Helming, R., Jørnsten, K.: Computing the Nucleolus when the Characteristic Function is Given Implicitly: A Constraint Generation Approach. International Journal of Game Theory 24, 357–372 (1995)
Hoang, N. D.: Algorithmic Cost Allocation Games: Theory and Applications. PhD Thesis, Berlin (2010)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Hoàng, ND. (2012). Algorithmic Cost Allocation Games: Theory and Applications. In: Klatte, D., Lüthi, HJ., Schmedders, K. (eds) Operations Research Proceedings 2011. Operations Research Proceedings. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29210-1_95
Download citation
DOI: https://doi.org/10.1007/978-3-642-29210-1_95
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-29209-5
Online ISBN: 978-3-642-29210-1
eBook Packages: Business and EconomicsBusiness and Management (R0)