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.

[1]  R. Aumann,et al.  Game theoretic analysis of a bankruptcy problem from the Talmud , 1985 .

[2]  J. Gozalvez,et al.  Bankruptcy-based radio resource management for multimedia mobile networks , 2012, Trans. Emerg. Telecommun. Technol..

[3]  Judith Timmer,et al.  A note on NTU convexity , 2002, Int. J. Game Theory.

[4]  H. Scarf The Core of an N Person Game , 1967 .

[5]  Joseph Greenberg,et al.  Cores of Convex Games Without Side Payments , 1985, Math. Oper. Res..

[6]  H. Young,et al.  Distributive justice in taxation , 1988 .

[7]  Barry O'Neill,et al.  A problem of rights arbitration from the Talmud , 1982, Math. Soc. Sci..

[8]  N. Dagan New characterizations of old bankruptcy rules , 1996 .

[9]  M. Carmen Lucas-Estan,et al.  Multi-Channel Radio Resource Distribution Policies in Heterogeneous Traffic Scenarios , 2007, 2007 IEEE 66th Vehicular Technology Conference.

[10]  Carmen Herrero,et al.  The three musketeers: four classical solutions to bankruptcy problems , 2001, Math. Soc. Sci..

[11]  J. Gozalvez,et al.  User QoS-based Multi-Channel Assignment Schemes under Multimedia Traffic Conditions , 2007, 2007 4th International Symposium on Wireless Communication Systems.

[12]  W. W. Sharkey Convex games without side payments , 1981 .

[13]  Judith Timmer,et al.  On Convexity for Ntu-Games , 2000 .

[14]  William Thomson,et al.  Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: An update , 2015, Math. Soc. Sci..

[15]  H. Moulin Equal or proportional division of a surplus, and other methods , 1987 .