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.
- Language
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Englisch
- Bibliographic citation
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Series: School of Economics Discussion Papers ; No. 2106
- Classification
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Wirtschaft
Cooperative Games
Noncooperative Games
Bargaining Theory; Matching Theory
Network Formation and Analysis: Theory
- Subject
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Social networks
network games
peer effects
centrality measures
Bonacich centrality
Shapley value
- Event
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Geistige Schöpfung
- (who)
-
Allouch, Nizar
Meca, Ana
Polotskaya, K.
- Event
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Veröffentlichung
- (who)
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University of Kent, School of Economics
- (where)
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Canterbury
- (when)
-
2021
- Handle
- Last update
-
10.03.2025, 11:45 AM CET
Data provider
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ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.
Object type
- Arbeitspapier
Associated
- Allouch, Nizar
- Meca, Ana
- Polotskaya, K.
- University of Kent, School of Economics
Time of origin
- 2021
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The Shapley value for shortest path games
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The Shapley Value, Proper Shapley Value, and Sharing Rules for Cooperative Ventures
The Shapley value of phylogenetic trees
On Weighted Shapley Values
On the Shapley value of liability games
The Shapley NTU-value via surface measures
The Shapley Value and Games with Hierarchies
The Shapley value without efficiency and additivity
The Shapley value for shortest path games
A generalization of the Shapley-Ichiishi result
The Shapley Value for Airport and Irrigation Games