RT Journal Article
T1 On stratified sampling for estimating coalitional values
A1 Saavedra Nieves, Alejandro
K1 Multi-agent systems
K1 Games with a priori unions
K1 Coalitional values
K1 Sampling
AB This paper addresses two sampling methodologies to respectively estimate the Owen value and the Banzhaf–Owen value for TU-games with a priori unions. Both proposals are based on stratified sampling on the set of those coalitions that are compatible with the system of unions according to their cardinalities. These sampling methodologies are analysed in terms of the theoretical properties and of the establishment of bounds for the absolute error from a statistical point of view. Finally, we evaluate the performance of these tools on several real well-known examples in the literature
PB Springer
SN 0254-5330
YR 2023
FD 2023
LK http://hdl.handle.net/10347/29997
UL http://hdl.handle.net/10347/29997
LA eng
NO Saavedra-Nieves, A. On stratified sampling for estimating coalitional values. Ann Oper Res 320, 325–353 (2023). https://doi.org/10.1007/s10479-022-05044-0
NO The author acknowledges the financial support of Ministerio de Economía y Competitividad of the Spanish government under grants MTM2017-87197-C3-2-P and PID2021-124030NB-C32, and of Xunta de Galicia through the ERDF (Grupos de Referencia Competitiva) ED431C 2021/24. Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature.
DS Minerva
RD 3 may 2026