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Axiomatizations of game theoretical solutions for one-output cost sharing problems

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  • Sudhölter, Peter

    (Center for Mathematical Economics, Bielefeld University)

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  • Sudhölter, Peter, 2017. "Axiomatizations of game theoretical solutions for one-output cost sharing problems," Center for Mathematical Economics Working Papers 250, Center for Mathematical Economics, Bielefeld University.
    • Handle: RePEc:bie:wpaper:250
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    References listed on IDEAS

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    1. Moulin, Herve & Shenker, Scott, 1992. "Serial Cost Sharing," Econometrica, Econometric Society, vol. 60(5), pages 1009-1037, September.
    2. Orshan, Gooni, 1993. "The Prenucleolus and the Reduced Game Property: Equal Treatment Replaces Anonymity," International Journal of Game Theory, Springer;Game Theory Society, vol. 22(3), pages 241-248.
    3. SCHMEIDLER, David, 1969. "The nucleolus of a characteristic function game," LIDAM Reprints CORE 44, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
    5. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    6. M. Maschler & B. Peleg & L. S. Shapley, 1979. "Geometric Properties of the Kernel, Nucleolus, and Related Solution Concepts," Mathematics of Operations Research, INFORMS, vol. 4(4), pages 303-338, November.
    7. Moulin Herve & Shenker Scott, 1994. "Average Cost Pricing versus Serial Cost Sharing: An Axiomatic Comparison," Journal of Economic Theory, Elsevier, vol. 64(1), pages 178-201, October.
    8. Maschler, Michael, 1992. "The bargaining set, kernel, and nucleolus," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 18, pages 591-667, Elsevier.
    9. Potters, Jos & Sudhölter, Peter, 2017. "Airport problems and consistent solution rules," Center for Mathematical Economics Working Papers 246, Center for Mathematical Economics, Bielefeld University.
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    Cited by:

    1. Koster, M., 2005. "Sharing Variable Returns of Cooperation," CeNDEF Working Papers 05-06, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    2. Albizuri, M.J. & Leroux, J. & Zarzuelo, J.M., 2010. "Updating claims in bankruptcy problems," Mathematical Social Sciences, Elsevier, vol. 60(2), pages 144-148, September.
    3. Michel Grabisch & Hervé Moulin & José Manuel Zarzuelo, 2024. "Professor Peter Sudhölter (1957–2024)," International Journal of Game Theory, Springer;Game Theory Society, vol. 53(2), pages 289-294, June.
    4. Koster, M., 2009. "Contracts, cost sharing and consistency," CeNDEF Working Papers 09-04, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.

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