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How to divide a cake when people have different metabolism?

Author

Listed:
  • Luisa Carpente
  • Balbina Casas-Méndez
  • Javier Gozálvez
  • Natividad Llorca
  • Manuel Pulido
  • Joaquín Sánchez-Soriano

Abstract

This paper deals with bankruptcy problems in which the players have different utility functions defined in terms of the quantity of allocated resources. We tackle this kind of situation by means of a game without transferable utility and provide two characterizations of the CEA-rule in this context. Copyright Springer-Verlag Berlin Heidelberg 2013

Suggested Citation

  • Luisa Carpente & Balbina Casas-Méndez & Javier Gozálvez & Natividad Llorca & Manuel Pulido & Joaquín Sánchez-Soriano, 2013. "How to divide a cake when people have different metabolism?," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 78(3), pages 361-371, December.
    • Handle: RePEc:spr:mathme:v:78:y:2013:i:3:p:361-371
    DOI: 10.1007/s00186-013-0448-3
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    References listed on IDEAS

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    Cited by:

    1. 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.
    2. Dietzenbacher, Bas, 2018. "Bankruptcy games with nontransferable utility," Mathematical Social Sciences, Elsevier, vol. 92(C), pages 16-21.
    3. Gutiérrez, E. & Llorca, N. & Sánchez-Soriano, J. & Mosquera, M., 2018. "Sustainable allocation of greenhouse gas emission permits for firms with Leontief technologies," European Journal of Operational Research, Elsevier, vol. 269(1), pages 5-15.
    4. B. Dietzenbacher & A. Estévez-Fernández & P. Borm & R. Hendrickx, 2021. "Proportionality, equality, and duality in bankruptcy problems with nontransferable utility," Annals of Operations Research, Springer, vol. 301(1), pages 65-80, June.
    5. Saavedra-Nieves, Alejandro & Saavedra-Nieves, Paula, 2020. "On systems of quotas from bankruptcy perspective: the sampling estimation of the random arrival rule," European Journal of Operational Research, Elsevier, vol. 285(2), pages 655-669.
    6. Duro Moreno, Juan Antonio & Giménez-Gómez, José Manuel & Sánchez-Soriano, Joaquín & Vilella Bach, Misericòrdia, 2022. "Allocating remaining carbon budgets and mitigation costs," Working Papers 2072/535074, Universitat Rovira i Virgili, Department of Economics.

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