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