How to divide a cake when people have different metabolism?
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.
KeywordsBankruptcy problems Utilities Games without transferable utility Allocation rules and axiomatic characterizations
Mathematics Subject Classification91A12
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.
- Gozálvez J, Lucas-Estañ MC, Sánchez-Soriano J (2007) User QoS-based multichannel assignment schemes under multimedia traffic conditions. In: Proceedings of the 4th international symposium on wireless communications systems 2007. IEEE, pp 113–117Google Scholar
- Hendrickx R, Borm P, Timmer J (2000) On convexity for NTU-games. CentER Discussion Paper 2000-108. Tilburg University, The NetherlandsGoogle Scholar
- Lucas-Estañ MC, Gozálvez J, Sánchez-Soriano J, Pulido M, Calabuig D (2007) Multi-channel radio resource distribution policies in heterogeneous traffic scenarios. In: IEEE 66th vehicular technology conference 2007. IEEE, pp 1674–1678Google Scholar