Analyzing the Zerkani Network with the Owen Value

Encarnación Algaba (), Andrea Prieto (), Alejandro Saavedra-Nieves () and Herbert Hamers ()
Additional contact information
Encarnación Algaba: Matemática Aplicada II and Instituto de Matemáticas de la Universidad de Sevilla
Andrea Prieto: Matemática Aplicada II, Escuela Superior de Ingenieros, Camino de los Descubrimientos
Alejandro Saavedra-Nieves: Universidade de Santiago de Compostela
Herbert Hamers: Tilburg University

A chapter in Advances in Collective Decision Making, 2023, pp 225-242 from Springer

Abstract: Abstract This paper introduces a new centrality measure based on the Owen value to rank members in covert networks. In particular, we consider the Zerkani network responsible for the Paris attack of November 2015 and the Brussels attack of March 2016. We follow the line of research introduced in Hamers et al. [Handbook of the Shapley value. Taylor and Francis Group: CRC Press, pp 463–481 (2019)]. First, we consider two different appropriate cooperative games defined on the Zerkani network. Both games take into account the strengths of the links between its members and the individual contribution of its members. Second, for each game the Owen value is calculated, that provides a ranking of the members in the Zerkani network. For this calculation, we need to create a suitable partition of the members in the network, and, subsequently, we will use the approximation method introduced in Saavedra-Nieves et al. [The mathematics of the uncertain: A tribute to Pedro Gil. Springer, pp 347–356 (2018)]. Moreover, we can provide specific error bounds for the approximation of the Owen value. Finally, the obtained rankings are compared to the rankings established in Hamers et al. [Handbook of the Shapley value. Taylor and Francis Group: CRC Press, pp 463–481 (2019)].

Date: 2023
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:stcchp:978-3-031-21696-1_14

Ordering information: This item can be ordered from
http://www.springer.com/9783031216961

DOI: 10.1007/978-3-031-21696-1_14

Access Statistics for this chapter

More chapters in Studies in Choice and Welfare from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().