RT Journal Article
T1 A random arrival rule for division problems with multiple references
A1 Borrero Molina, Diego Vicente
A1 Sánchez Sánchez, Francisca J.
A1 Hinojosa, Miguel
A1 Mármol, A.M.
K1 Division problem
K1 Random arrival rule
K1 Shapley value
AB We address the problem of the division of a homogeneous, infinitely divisible good among a set of agents when several characteristics have to be taken into account. Specifically, we extend the classic random arrival rule to division problems which do not necessarily represent a bankruptcy situation, and in which several references are considered for each agent. We establish the links of the extended rule with the classic random arrival rule and we prove that the outcomes coincide with the Shapley value of an appropriate cooperative game. The results permit a complete description of the allocations that would be obtained for any value of the quantity to be divided.
PB Wiley
YR 2018
FD 2018
LK https://hdl.handle.net/10433/19735
UL https://hdl.handle.net/10433/19735
LA en
NO Borrero, D.V. et al. (2020); A random arrival rule for division problems with multiple references; INTERNATIONAL TRANSACTIONS INOPERATIONAL RESEARCH, 25: 963–982
NO Departamento de Economía, Métodos Cuantitativos e Historia Económica
DS RIO
RD May 9, 2026