Arbeitspapier

The Bonacich Shapley centrality

In this paper, we develop a new game theoretic network centrality measure based on the Shapley value. To do so, we consider a coalitional game, where the worth of each coalition is the total play in the game introduced in Ballester et al. (2006). We first establish that the game is convex. As a consequence, the Shapley value belongs to the core, which enhances the attractive features of our new centrality measure. Then, we compute the Shapley value for various examples and illustrate some of its properties.

Sprache
Englisch

Erschienen in
Series: School of Economics Discussion Papers ; No. 2106

Klassifikation
Wirtschaft
Cooperative Games
Noncooperative Games
Bargaining Theory; Matching Theory
Network Formation and Analysis: Theory
Thema
Social networks
network games
peer effects
centrality measures
Bonacich centrality
Shapley value

Ereignis
Geistige Schöpfung
(wer)
Allouch, Nizar
Meca, Ana
Polotskaya, K.
Ereignis
Veröffentlichung
(wer)
University of Kent, School of Economics
(wo)
Canterbury
(wann)
2021

Handle
Letzte Aktualisierung
10.03.2025, 11:45 MEZ

Datenpartner

Dieses Objekt wird bereitgestellt von:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.

Objekttyp

  • Arbeitspapier

Beteiligte

  • Allouch, Nizar
  • Meca, Ana
  • Polotskaya, K.
  • University of Kent, School of Economics

Entstanden

  • 2021

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