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Weighted bankruptcy rules and the museum pass problem

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  • Casas-Méndez, Balbina
  • Fragnelli, Vito
  • García-Jurado, Ignacio

Abstract

In this paper we introduce and characterize some allocation rules for weighted bankruptcy problems. We illustrate the relevancy of weighted bankruptcy by applying it to analyse the museum pass problem, introduced by Ginsburgh and Zang (2003). This application is completed with the analysis of real data for the "Card Musei" of the Municipality of Genova.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:ejores:v:215:y:2011:i:1:p:161-168
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    References listed on IDEAS

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    1. 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.
    2. Ginsburgh, Victor & Zang, Israel, 2003. "The museum pass game and its value," Games and Economic Behavior, Elsevier, vol. 43(2), pages 322-325, May.
    3. Estevez Fernandez, M.A. & Borm, P.E.M. & Hamers, H.J.M., 2004. ""The Museum Pass Game and its Value" Revisited," Discussion Paper 2004-7, Tilburg University, Center for Economic Research.
    4. 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.
    5. Toru Hokari & William Thomson, 2003. "Claims problems and weighted generalizations of the Talmud rule," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(2), pages 241-261, March.
    6. Nir Dagan, 1996. "New characterizations of old bankruptcy rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(1), pages 51-59, January.
    7. Hervé Moulin, 2000. "Priority Rules and Other Asymmetric Rationing Methods," Econometrica, Econometric Society, vol. 68(3), pages 643-684, May.
    8. Young, H. P., 1988. "Distributive justice in taxation," Journal of Economic Theory, Elsevier, vol. 44(2), pages 321-335, April.
    9. 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.
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    1. repec:spr:waterr:v:32:y:2018:i:8:d:10.1007_s11269-018-1955-z is not listed on IDEAS
    2. repec:eee:ejores:v:269:y:2018:i:1:p:5-15 is not listed on IDEAS
    3. 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.
    4. Vito Fragnelli & Gianfranco Gambarelli, 2014. "Further open problems in cooperative games," Operations Research and Decisions, Wroclaw University of Technology, Institute of Organization and Management, vol. 4, pages 51-62.
    5. 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.
    6. Giménez Gómez, José M. (José Manuel) & Peris, Josep E. & Solís Baltodano, María José,, 2018. "Distributing the European structural and investment funds from a conflicting claims approach," Working Papers 2072/306977, Universitat Rovira i Virgili, Department of Economics.
    7. BERGANTIÑOS, Gustavo & MORENO-TERNERO, Juan D., 2016. "A New Rule for the Problem of Sharing the Revenue from Museum Passes," CORE Discussion Papers RP 2721, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. repec:spr:annopr:v:254:y:2017:i:1:d:10.1007_s10479-017-2455-x is not listed on IDEAS
    9. 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.
    10. René Brink & Juan D. Moreno-Ternero, 2017. "The reverse TAL-family of rules for bankruptcy problems," Annals of Operations Research, Springer, vol. 254(1), pages 449-465, July.
    11. 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.
    12. 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.
    13. Alexander Karpov & Semyon Yurkov, 2012. "Generalized bankruptcy problem," HSE Working papers WP BRP 08/FE/2012, National Research University Higher School of Economics.

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