RT Journal Article T1 Improving polynomial estimation of the Shapley value by stratified random sampling with optimum allocation A1 Castro Cantalejo, Javier A1 Gómez González, Daniel A1 Molina, Elienda A1 Tejada Cazorla, Juan Antonio AB In this paper, we propose a refinement of the polynomial method based on sampling theory proposed by Castro et al. (2009) to estimate the Shapley value for cooperative games. In addition to analyzing the variance of the previously proposed estimation method, we employ stratified random sampling with optimum allocation in order to reduce the variance. We examine some desirable statistical features of the stratified approach and provide some computational results by analyzing the gains due to stratification, which are around 30% on average and more than 80% in the best case. PB Pergamon-Elsevier SN 0305-0548 YR 2017 FD 2017 LK https://hdl.handle.net/20.500.14352/17797 UL https://hdl.handle.net/20.500.14352/17797 LA eng NO Ministerio de Economía y Competitividad (MINECO) DS Docta Complutense RD 21 ago 2024