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A Note on Passepartout Problems

Author

Listed:
  • Arantza Estevez-Fernandez

    (VU University Amsterdam, the Netherlands)

  • Peter Borm

    (Tilburg University)

  • Herbert Hamers

    (Tilburg University)

Abstract

This discussion paper led to the publication with the same title in 'International Game Theory Review' (2012), 14(2). This note provides a methodological contribution to the allocation of joint revenues obtained from passepartouts. In a passepartout system a group of service providers offers a passepartout that allows its owners the use of specified services for an unlimited number of times during a fixed period of time. The corresponding allocation problem is then how to share the total joint revenues of the passepartout system adequately among the service providers. Arguments are provided to model a passepartout problem within the framework of bankruptcy and context-specific properties are considered in order to select an appropriate allocation rule.

Suggested Citation

  • Arantza Estevez-Fernandez & Peter Borm & Herbert Hamers, 2010. "A Note on Passepartout Problems," Tinbergen Institute Discussion Papers 10-031/1, Tinbergen Institute.
    • Handle: RePEc:tin:wpaper:20100031
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    References listed on IDEAS

    as
    1. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.
    2. Juan D. Moreno-Ternero, 2006. "Proportionality And Non-Manipulability In Bankruptcy Problems," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 8(01), pages 127-139.
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    Cited by:

    1. Balbina Casas-Mendez & Vito Fragnelli & Ignacio Garcìa-Jurado, 2014. "A survey of allocation rules for the museum pass problem," Journal of Cultural Economics, Springer;The Association for Cultural Economics International, vol. 38(2), pages 191-205, May.
    2. BERGANTIÑOS, Gustavo & MORENO-TERNERO, Juan D., 2016. "A New Rule for the Problem of Sharing the Revenue from Museum Passes," LIDAM Reprints CORE 2721, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Casas-Méndez, Balbina & Fragnelli, Vito & García-Jurado, Ignacio, 2011. "Weighted bankruptcy rules and the museum pass problem," European Journal of Operational Research, Elsevier, vol. 215(1), pages 161-168, November.
    4. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2013. "The axiomatic approach to the problem of sharing the revenue from bundled pricing," Working Papers 13.04, Universidad Pablo de Olavide, Department of Economics.
    5. Arantza Estévez-Fernández & José Manuel Giménez-Gómez & María José Solís-Baltadano, 2019. "Sequential bankruptcy problems," Tinbergen Institute Discussion Papers 19-076/II, Tinbergen Institute.
    6. Elisenda Molina & Juan Tejada & Tom Weiss, 2022. "Some game theoretic marketing attribution models," Annals of Operations Research, Springer, vol. 318(2), pages 1043-1075, November.

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    More about this item

    Keywords

    Passepartout problem; bankruptcy problem; allocation rule;
    All these keywords.

    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

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