IDEAS home Printed from https://ideas.repec.org/a/kap/jculte/v38y2014i2p191-205.html
   My bibliography  Save this article

A survey of allocation rules for the museum pass problem

Author

Listed:
  • Balbina Casas-Mendez
  • Vito Fragnelli
  • Ignacio Garcìa-Jurado

Abstract

In this paper, we consider the problem, introduced by Ginsburgh and Zang (Games Econ Behav 43:322–325, 2003 ), of sharing the income from the sell of passes that allow the entrance in a set of museums. First, we recall some allocation rules and some properties presented in Ginsburgh and Zang (Mus Manag Curatorship 19:371–383, 2004 ), Béal and Solal (Rev Econ 61:1099–1109, 2010 ), Estévez-Fernández et al. ( 2010 ), and Casas-Méndez et al. (Eur J Oper Res 215:161–168, 2011 ). Then, we discuss them, finding the properties satisfied by each allocation rule. The analysis of a real-world example concludes the paper. Copyright Springer Science+Business Media New York 2014

Suggested Citation

  • 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.
    • Handle: RePEc:kap:jculte:v:38:y:2014:i:2:p:191-205
    DOI: 10.1007/s10824-013-9202-1
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10824-013-9202-1
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10824-013-9202-1?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. ,, 2001. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 17(6), pages 1157-1160, December.
    2. Arantza Estévez-Fernández & Peter Borm & Herbert Hamers, 2012. "A Note On Passepartout Problems," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 14(02), pages 1-9.
    3. 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.
    4. Ginsburgh, Victor & Zang, Israel, 2003. "The museum pass game and its value," Games and Economic Behavior, Elsevier, vol. 43(2), pages 322-325, May.
    5. Young, H. P., 1988. "Distributive justice in taxation," Journal of Economic Theory, Elsevier, vol. 44(2), pages 321-335, April.
    6. 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.
    7. Herrero, Carmen & Villar, Antonio, 2001. "The three musketeers: four classical solutions to bankruptcy problems," Mathematical Social Sciences, Elsevier, vol. 42(3), pages 307-328, November.
    8. Hervé Moulin, 2000. "Priority Rules and Other Asymmetric Rationing Methods," Econometrica, Econometric Society, vol. 68(3), pages 643-684, May.
    9. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
    10. S. C. Littlechild & G. Owen, 1973. "A Simple Expression for the Shapley Value in a Special Case," Management Science, INFORMS, vol. 20(3), pages 370-372, November.
    11. ,, 2001. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 17(5), pages 1025-1031, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Bruce Seaman, 2017. "¿Qué está en juego al optar entre distintas formas de apoyo para el sector cultural?," Estudios Públicos, Centro de Estudios Públicos, vol. 0(146), pages 121-162.
    2. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2015. "The axiomatic approach to the problem of sharing the revenue from museum passes," Games and Economic Behavior, Elsevier, vol. 89(C), pages 78-92.
    3. 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).
    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. Victor Ginsburgh & Juan D. Moreno-Ternero, 2023. "The Eurovision Song Contest: voting rules, biases and rationality," Journal of Cultural Economics, Springer;The Association for Cultural Economics International, vol. 47(2), pages 247-277, June.
    6. Arantza Estévez-Fernández & José Manuel Giménez-Gómez & María José Solís-Baltadano, 2019. "Sequential bankruptcy problems," Tinbergen Institute Discussion Papers 19-076/II, Tinbergen Institute.
    7. Vito Fragnelli & Gianfranco Gambarelli, 2014. "Further open problems in cooperative games," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 24(4), pages 51-62.
    8. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Thomson, William, 2015. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: An update," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 41-59.
    3. Jingyi Xue, 2018. "Fair division with uncertain needs," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(1), pages 105-136, June.
    4. Teresa Estañ & Natividad Llorca & Ricardo Martínez & Joaquín Sánchez-Soriano, 2021. "On the Difficulty of Budget Allocation in Claims Problems with Indivisible Items and Prices," Group Decision and Negotiation, Springer, vol. 30(5), pages 1133-1159, October.
    5. Moreno-Ternero, Juan D. & Villar, Antonio, 2004. "The Talmud rule and the securement of agents' awards," Mathematical Social Sciences, Elsevier, vol. 47(2), pages 245-257, March.
    6. Carmen Herrero & Juan Moreno-Ternero & Giovanni Ponti, 2010. "On the adjudication of conflicting claims: an experimental study," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(1), pages 145-179, January.
    7. Ketelaars, Martijn & Borm, Peter, 2021. "On the Unification of Centralized and Decentralized Clearing Mechanisms in Financial Networks," Discussion Paper 2021-015, Tilburg University, Center for Economic Research.
    8. Martínez, Ricardo & Moreno-Ternero, Juan D., 2022. "Compensation and sacrifice in the probabilistic rationing of indivisible units," European Journal of Operational Research, Elsevier, vol. 302(2), pages 740-751.
    9. José-Manuel Giménez-Gómez & M. Marco-Gil, 2014. "A new approach for bounding awards in bankruptcy problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(2), pages 447-469, August.
    10. Yeh, Chun-Hsien, 2004. "Sustainability, exemption, and the constrained equal awards rule: a note," Mathematical Social Sciences, Elsevier, vol. 47(1), pages 103-110, January.
    11. Andrea Gallice, 2019. "Bankruptcy problems with reference-dependent preferences," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(1), pages 311-336, March.
    12. Yeh, Chun-Hsien, 2008. "Secured lower bound, composition up, and minimal rights first for bankruptcy problems," Journal of Mathematical Economics, Elsevier, vol. 44(9-10), pages 925-932, September.
    13. Simon Gächter & Arno Riedl, 2006. "Dividing Justly in Bargaining Problems with Claims," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(3), pages 571-594, December.
    14. Thomson, William & Yeh, Chun-Hsien, 2008. "Operators for the adjudication of conflicting claims," Journal of Economic Theory, Elsevier, vol. 143(1), pages 177-198, November.
    15. José Alcalde & María Marco & José Silva, 2005. "Bankruptcy games and the Ibn Ezra’s proposal," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(1), pages 103-114, July.
    16. Dagmawi Mulugeta Degefu & Weijun He & Liang Yuan & Jian Hua Zhao, 2016. "Water Allocation in Transboundary River Basins under Water Scarcity: a Cooperative Bargaining Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(12), pages 4451-4466, September.
    17. Long, Yan & Sethuraman, Jay & Xue, Jingyi, 2021. "Equal-quantile rules in resource allocation with uncertain needs," Journal of Economic Theory, Elsevier, vol. 197(C).
    18. Hojjat Mianabadi & Erik Mostert & Saket Pande & Nick van de Giesen, 2015. "Weighted Bankruptcy Rules and Transboundary Water Resources Allocation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(7), pages 2303-2321, May.
    19. Emin Karagözoğlu, 2014. "A noncooperative approach to bankruptcy problems with an endogenous estate," Annals of Operations Research, Springer, vol. 217(1), pages 299-318, June.
    20. Erik Ansink & Hans-Peter Weikard, 2012. "Sequential sharing rules for river sharing problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(2), pages 187-210, February.

    More about this item

    Keywords

    Museum pass problem; Allocation rules; Shapley value; Bankruptcy; C71; D79;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D79 - Microeconomics - - Analysis of Collective Decision-Making - - - Other

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kap:jculte:v:38:y:2014:i:2:p:191-205. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.