Artículos de revistas
Stable partitions in many division problems: the proportional and the sequential dictator solutions
Fecha
2015-09Registro en:
Bergantiños, Gustavo; Jordi, Massó Carreras; Moreno de Barreda, Inés; Neme, Alejandro José; Stable partitions in many division problems: the proportional and the sequential dictator solutions; Springer; Theory And Decision; 79; 2; 9-2015; 227-250
0040-5833
1573-7187
CONICET Digital
CONICET
Autor
Bergantiños, Gustavo
Jordi, Massó Carreras
Moreno de Barreda, Inés
Neme, Alejandro José
Resumen
We study how to partition a set of agents in a stable way when each coalition in the partition has to share a unit of a perfectly divisible good, and each agent has symmetric single-peaked preferences on the unit interval of his potential shares. A rule on the set of preference profiles consists of a partition function and a solution. Given a preference profile, a partition is selected and as many units of the good as the number of coalitions in the partition are allocated, where each unit is shared among all agents belonging to the same coalition according to the solution. A rule is stable at a preference profile if no agent strictly prefers to leave his coalition to join another coalition and all members of the receiving coalition want to admit him. We show that the proportional solution and all sequential dictator solutions admit stable partition functions. We also show that stability is a strong requirement that becomes easily incompatible with other desirable properties like efficiency, strategy-proofness, anonymity, and non-envyness.