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Orders of Criticality in Graph Connection Games

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Date
2019
Notes
Lecture Notes in Computer Science book series (LNCS, volume 11890)
Dewey
Probabilités et mathématiques appliquées
Sujet
Order of criticality; Shapley value; Banzhaf value; Graph connection games
DOI
http://dx.doi.org/10.1007/978-3-662-60555-4
Book title
Transactions on Computational Collective Intelligence XXXIV
Author
Thanh Nguyen, Ngoc; Kowalczyk, Ryszard; Mercik, Jacek; Motylska-Kuźma, Anna
Publisher
Springer
Publisher city
Berlin
Year
2019
Pages number
181
ISBN
978-3-662-60555-4
Book URL
10.1007/978-3-662-60555-4_3
URI
https://basepub.dauphine.fr/handle/123456789/20219
Collections
  • LAMSADE : Publications
Metadata
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Author
Dall'Aglio, Marco
156859 Department of Economics and Finance
Fragnelli, Vito
166019 University of eastern piedmont of Novara
Moretti, Stefano
989 Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Type
Communication / Conférence
Item number of pages
35-46
Abstract (EN)
The order of criticality of a player in a simple game and two indices inspired by the reasoning à la Shapley and à la Banzhaf were introduced in two previous papers [3] and [4], respectively, mainly having in mind voting situations. Here, we devote our attention to graph connection games, and to the computation of the order of criticality of a player. The indices introduced in [4] may be used as centrality measures of the edges in preserving the connection of a graph.

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