The rights egalitarian solution for NTU sharing problems

The purpose of this paper is to extend the Rights Egalitarian solution (Herrero, Maschler & Villar, 1999) to the context of nontransferable utility sharing problems. Such an extension is not unique. Depending on the kind of properties we want to preserve we obtain two di¤erent generalizations. One is the "proportional solution", that corresponds to the Kalai-Smorodinsky solution for surplus sharing problems and the solution in Herrero (1998) for rationing problems. The other is the "Nash solution", that corresponds to the standard Nash bargaining solution for surplus sharing problems and the Nash rationing solution (Mariotti & Villar (2005)) for the case of rationing problems. Key words: sharing problems, rights egalitarian solution, NTU problems JEL classi…cation numbers: D11, D81 Acknowledgement 1 Carmen Herrero acknowledges …nancial support from the Spanish Ministry of Research and Innovation, under Proyect SEJ2007-62656.