Mathematical Methods of Operations Research

, Volume 78, Issue 3, pp 361–371 | Cite as

How to divide a cake when people have different metabolism?

  • Luisa CarpenteEmail author
  • Balbina Casas-Méndez
  • Javier Gozálvez
  • Natividad Llorca
  • Manuel Pulido
  • Joaquín Sánchez-Soriano
Original Article


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.


Bankruptcy problems Utilities Games without transferable utility Allocation rules and axiomatic characterizations 

Mathematics Subject Classification




This work has been partially supported by Xunta de Galicia, the Government of Spain and FEDER fund under projects INCITE09-207-064-PR, MTM2008-06778-C02-01, ECO2008-03484-C02-02, MTM2012-36163-C06-04, MTM2011-277731-C03-01, MTM2011-27731-C03-02, MTM2011-23205 and TEC2005-08211-C02, Conselleria d’Educacio of Generalitat Valenciana through Grants ACOMP/2010/102 and ACOMP/2011/129, and by Fundación Séneca de la Región de Murcia through grant 08716/PI/08.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Luisa Carpente
    • 1
    Email author
  • Balbina Casas-Méndez
    • 2
  • Javier Gozálvez
    • 3
  • Natividad Llorca
    • 4
  • Manuel Pulido
    • 5
  • Joaquín Sánchez-Soriano
    • 4
  1. 1.Departamento de Matemáticas. Facultad de InformáticaUniversidad de CoruñaA CoruñaSpain
  2. 2.Departamento de Estadística e Investigación Operativa. Facultad de MatemáticasUniversidad de Santiago de CompostelaSantiago de CompostelaSpain
  3. 3.Departamento de Física y Arquitectura de ComputadoresUniversidad Miguel HernándezAlicanteSpain
  4. 4.Center of Operations Research (CIO)Universidad Miguel HernándezAlicanteSpain
  5. 5.Departamento de Estadística e Investigación Operativa. Facultad de MatemáticasUniversidad de MurciaMurciaSpain

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