Node centrality based on its edges importance: The Position centrality
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DOI: 10.1016/j.mathsocsci.2024.10.001
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- Francis Bloch & Matthew O. Jackson & Pietro Tebaldi, 2023.
"Centrality measures in networks,"
Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 61(2), pages 413-453, August.
- Francis Bloch & Matthew Jackson & Pietro Tebaldi, 2023. "Centrality measures in networks," PSE-Ecole d'économie de Paris (Postprint) halshs-04155088, HAL.
- Francis Bloch & Matthew Jackson & Pietro Tebaldi, 2023. "Centrality measures in networks," Post-Print halshs-04155088, HAL.
- Gert Sabidussi, 1966. "The centrality index of a graph," Psychometrika, Springer;The Psychometric Society, vol. 31(4), pages 581-603, December.
- Marco Slikker, 2005. "A characterization of the position value," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(4), pages 505-514, November.
- Gofman, Michael, 2017. "Efficiency and stability of a financial architecture with too-interconnected-to-fail institutions," Journal of Financial Economics, Elsevier, vol. 124(1), pages 113-146.
- Bas Dietzenbacher & Peter Borm & Ruud Hendrickx, 2017.
"Decomposition of network communication games,"
Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 85(3), pages 407-423, June.
- Dietzenbacher, Bas & Borm, Peter & Hendrickx, Ruud, 2015. "Decomposition of Network Communication Games," Other publications TiSEM c07a09b0-0bd7-4533-ac99-3, Tilburg University, School of Economics and Management.
- Dietzenbacher, Bas & Borm, Peter & Hendrickx, Ruud, 2017. "Decomposition of network communication games," Other publications TiSEM ab795ba7-d302-44bf-ba6a-f, Tilburg University, School of Economics and Management.
- Dietzenbacher, Bas & Borm, Peter & Hendrickx, Ruud, 2015. "Decomposition of Network Communication Games," Discussion Paper 2015-057, Tilburg University, Center for Economic Research.
- Borm, P.E.M. & Owen, G. & Tijs, S.H., 1992. "On the position value for communication situations," Other publications TiSEM 5a8473e4-1df7-42df-ad53-f, Tilburg University, School of Economics and Management.
- Roger B. Myerson, 1977.
"Graphs and Cooperation in Games,"
Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
- Roger B. Myerson, 1976. "Graphs and Cooperation in Games," Discussion Papers 246, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Daniel Gómez & Enrique Gonz{'a}lez-Arangüena & Conrado Manuel & Guillermo Owen & Monica Del Pozo, 2004. "A Unified Approach To The Myerson Value And The Position Value," Theory and Decision, Springer, vol. 56(2_2), pages 63-76, February.
- Gomez, Daniel & Gonzalez-Aranguena, Enrique & Manuel, Conrado & Owen, Guillermo & del Pozo, Monica & Tejada, Juan, 2003. "Centrality and power in social networks: a game theoretic approach," Mathematical Social Sciences, Elsevier, vol. 46(1), pages 27-54, August.
- Andrea Landherr & Bettina Friedl & Julia Heidemann, 2010. "A Critical Review of Centrality Measures in Social Networks," Business & Information Systems Engineering: The International Journal of WIRTSCHAFTSINFORMATIK, Springer;Gesellschaft für Informatik e.V. (GI), vol. 2(6), pages 371-385, December.
- Boldi, Paolo & Furia, Flavio & Vigna, Sebastiano, 2023. "Monotonicity in undirected networks," Network Science, Cambridge University Press, vol. 11(3), pages 351-373, September.
- Daniel Gómez & Enrique Gonz{’a}lez-Arangüena & Conrado Manuel & Guillermo Owen & Monica Del Pozo, 2004. "A Unified Approach To The Myerson Value And The Position Value," Theory and Decision, Springer, vol. 56(1), pages 63-76, April.
- repec:dau:papers:123456789/4735 is not listed on IDEAS
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Keywords
Game theory; Social networks; Myerson value; Position value; Centrality measures;All these keywords.
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