Facultade de Fisioterapia

Estimation of the Owen Value Based on Sampling

Saavedra Nieves, Alejandro; García-Jurado, Ignacio; Fiestras Janeiro, María Gloria
Abstract:
In this paper we introduce a procedure based on sampling to estimate the Owen value of a cooperative game. It is an adaptation of an analogous procedure for the estimation of the Shapley value, and it is specially useful when dealing with games having large sets of players. We provide some results in order to choose a samplesizeguaranteeingaboundfortheabsoluteerrorwithagivenprobability,and illustrate our procedure with an example taken from the game theoretical literature
Year:
2018
Type of Publication:
Book Chapter
Keywords:
Statistics Fuzzy Sets and Applications Information Theory Communications Computer Sciences Mathematics and Applications Statistical Inference Randomness
Editor:
Eduardo Gil, Eva Gil, Juan Gil, María Ángeles Gil
Pages:
347-356
Book:
The Mathematics of the Uncertain. A Tribute to Pedro Gil
ISBN:
978-3-319-73848-2
DOI:
https://doi.org/10.1007/978-3-319-73848-2
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