Data Cost Games as an Application of 1-Concavity in Cooperative Game Theory
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-11
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
The main goal is to reveal the 1-concavity property for a subclass of cost games called data cost games.
The motivation for the study of the 1-concavity property is the appealing theoretical results for both the core and the nucleolus, in particular their geometrical characterization as well as their additivity property.
The characteristic cost function of the original data cost game assigns to every coalition the additive cost of reproducing the data the coalition does not own.
The underlying data and cost sharing situation is composed of three components, namely, the player set, the collection of data sets for individuals, and the additive cost function on the whole data set.
The proof of 1-concavity is direct, but robust to a suitable generalization of the characteristic cost function.
As an adjunct, the 1-concavity property is shown for the subclass of so-called “bicycle” cost games, inclusive of the data cost games in which the individual data sets are nested in a decreasing order.
American Psychological Association (APA)
Hou, Dongshuang& Driessen, Theo. 2014. Data Cost Games as an Application of 1-Concavity in Cooperative Game Theory. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-457314
Modern Language Association (MLA)
Hou, Dongshuang& Driessen, Theo. Data Cost Games as an Application of 1-Concavity in Cooperative Game Theory. Journal of Applied Mathematics No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-457314
American Medical Association (AMA)
Hou, Dongshuang& Driessen, Theo. Data Cost Games as an Application of 1-Concavity in Cooperative Game Theory. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-457314
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-457314