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Centrality and power in social networks: a game theoretic approach

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Cited by:

  1. Wen, Xiangxi & Tu, Congliang & Wu, Minggong, 2018. "Node importance evaluation in aviation network based on “No Return” node deletion method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 546-559.
  2. Stefano Moretti & Fioravante Patrone, 2008. "Transversality of the Shapley value," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(1), pages 1-41, July.
  3. van den Brink, René & Rusinowska, Agnieszka, 2024. "Degree centrality, von Neumann–Morgenstern expected utility and externalities in networks," European Journal of Operational Research, Elsevier, vol. 319(2), pages 669-677.
  4. repec:hal:pseptp:halshs-04188289 is not listed on IDEAS
  5. E. C. Gavilán & C. Manuel & R. Brink, 2023. "Directed communication in games with directed graphs," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 31(3), pages 584-617, October.
  6. Felix Fritz & Stefano Moretti & Jochen Staudacher, 2023. "Social Ranking Problems at the Interplay between Social Choice Theory and Coalitional Games," Mathematics, MDPI, vol. 11(24), pages 1-22, December.
  7. Rene (J.R.) van den Brink & Agnieszka Rusinowska, 2017. "The Degree Measure as Utility Function over Positions in Networks," Tinbergen Institute Discussion Papers 17-065/II, Tinbergen Institute.
  8. Phuoc Hoang Le & Tri-Dung Nguyen & Tolga Bektaş, 2020. "Efficient computation of the Shapley value for large-scale linear production games," Annals of Operations Research, Springer, vol. 287(2), pages 761-781, April.
  9. Elena C. Gavilán & Conrado M. Manuel & René Van Den Brink, 2022. "A Family of Position Values for Directed Communication Situations," Mathematics, MDPI, vol. 10(8), pages 1-19, April.
  10. Navarro, Florian, 2020. "The center value: A sharing rule for cooperative games on acyclic graphs," Mathematical Social Sciences, Elsevier, vol. 105(C), pages 1-13.
  11. Nizar Allouch & A. Meca & K. Polotskaya, 2021. "The Bonacich Shapley centrality," Studies in Economics 2106, School of Economics, University of Kent.
  12. C. Manuel & D. Martín, 2021. "A value for communication situations with players having different bargaining abilities," Annals of Operations Research, Springer, vol. 301(1), pages 161-182, June.
  13. Belau, Julia, 2014. "Consequences of Connection Failure - Centrality and the Importance for Cohesion," VfS Annual Conference 2014 (Hamburg): Evidence-based Economic Policy 100368, Verein für Socialpolitik / German Economic Association.
  14. Belik, Ivan & Jörnsten, Kurt, 2015. "The Analysis of Leadership Formation in Networks Based on Shapley Value," Discussion Papers 2015/2, Norwegian School of Economics, Department of Business and Management Science.
  15. 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.
  16. Agustín Saade Ospina, 2008. "Aproximación cuantitativa a la centralidad de los bancos en el mercado interbancario: enfoque de juegos cooperativos," Temas de Estabilidad Financiera 037, Banco de la Republica de Colombia.
  17. Navarro, Florian, 2025. "Cooperative games with types, outside options, and the egalitarian value," Mathematical Social Sciences, Elsevier, vol. 134(C), pages 42-49.
  18. Trudeau, Christian & Vidal-Puga, Juan, 2020. "Clique games: A family of games with coincidence between the nucleolus and the Shapley value," Mathematical Social Sciences, Elsevier, vol. 103(C), pages 8-14.
  19. Justo Puerto & Anita Schöbel & Silvia Schwarze, 2008. "The path player game," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 68(1), pages 1-20, August.
  20. van den Brink, René & Rusinowska, Agnieszka, 2022. "The degree measure as utility function over positions in graphs and digraphs," European Journal of Operational Research, Elsevier, vol. 299(3), pages 1033-1044.
  21. Daniel Gómez & Enrique González–Arangüena & Conrado Manuel & Guillermo Owen & Mónica Pozo & Martha Saboyá, 2008. "The cohesiveness of subgroups in social networks: A view from game theory," Annals of Operations Research, Springer, vol. 158(1), pages 33-46, February.
  22. Ziyi Yang & Yang Chen & Dong Guo & Fangtong Jiao & Bin Zhou & Feng Sun, 2025. "Importance Classification Method for Signalized Intersections Based on the SOM-K-GMM Clustering Algorithm," Sustainability, MDPI, vol. 17(7), pages 1-26, March.
  23. López, Susana & Molina, Elisenda & Saboyá, Martha & Tejada, Juan, 2024. "Node centrality based on its edges importance: The Position centrality," Mathematical Social Sciences, Elsevier, vol. 132(C), pages 90-104.
  24. Nick Wills-Johnson & Peter Hornby, 2007. "The Value of a Network," Modern Applied Science, Canadian Center of Science and Education, vol. 1(4), pages 1-37, November.
  25. Lindelauf, R. & Hamers, H.J.M. & Husslage, B.G.M., 2011. "Game Theoretic Centrality Analysis of Terrorist Networks : The Cases of Jemaah Islamiyah and Al Qaeda," Other publications TiSEM e91f6269-bcac-4790-b42f-3, Tilburg University, School of Economics and Management.
  26. Julia Belau, 2018. "The class of ASN-position values," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(1), pages 65-99, January.
  27. Gómez, D. & González-Arangüena, E. & Manuel, C. & Owen, G., 2008. "A value for generalized probabilistic communication situations," European Journal of Operational Research, Elsevier, vol. 190(2), pages 539-556, October.
  28. Lindelauf, R.H.A. & Hamers, H.J.M. & Husslage, B.G.M., 2013. "Cooperative game theoretic centrality analysis of terrorist networks: The cases of Jemaah Islamiyah and Al Qaeda," European Journal of Operational Research, Elsevier, vol. 229(1), pages 230-238.
  29. Encarnacion Algaba & Rene van den Brink, 2019. "The Shapley Value and Games with Hierarchies," Tinbergen Institute Discussion Papers 19-064/II, Tinbergen Institute.
  30. Oskar Skibski & Tomasz Michalak, 2020. "Fair division in the presence of externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(1), pages 147-172, March.
  31. Manuel, C. & Ortega, E. & del Pozo, M., 2020. "Marginality and Myerson values," European Journal of Operational Research, Elsevier, vol. 284(1), pages 301-312.
  32. Belik, Ivan & Jörnsten, Kurt, 2015. "Shapley-Based Stackelberg Leadership Formation in Networks," Discussion Papers 2015/16, Norwegian School of Economics, Department of Business and Management Science.
  33. Sridhar Mandyam & Usha Sridhar, 2017. "DON and Shapley Value for Allocation among Cooperating Agents in a Network: Conditions for Equivalence," Studies in Microeconomics, , vol. 5(2), pages 143-161, December.
  34. Inmaculada Gutiérrez & Juan Antonio Guevara & Daniel Gómez & Javier Castro & Rosa Espínola, 2021. "Community Detection Problem Based on Polarization Measures: An Application to Twitter: The COVID-19 Case in Spain," Mathematics, MDPI, vol. 9(4), pages 1-27, February.
  35. Yang, Chunxia & Chen, Yanhua & Niu, Lei & Li, Qian, 2014. "Cointegration analysis and influence rank—A network approach to global stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 400(C), pages 168-185.
  36. René Brink & Gerard Laan & Vitaly Pruzhansky, 2011. "Harsanyi power solutions for graph-restricted games," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(1), pages 87-110, February.
  37. Aguiar, Victor H. & Pongou, Roland & Tondji, Jean-Baptiste, 2018. "A non-parametric approach to testing the axioms of the Shapley value with limited data," Games and Economic Behavior, Elsevier, vol. 111(C), pages 41-63.
  38. Enrique González-Arangüena & Conrado Manuel & Daniel Gomez & René van den Brink, 2008. "A Value for Directed Communication Situations," Tinbergen Institute Discussion Papers 08-006/1, Tinbergen Institute.
  39. Jacob North Clark & Stephen Montgomery-Smith, 2018. "Shapley-like values without symmetry," Papers 1809.07747, arXiv.org, revised May 2019.
  40. Robert P. Gilles & Lina Mallozzi, 2023. "Game Theoretic Foundations of the Gately Power Measure for Directed Networks," Games, MDPI, vol. 14(5), pages 1-19, September.
  41. Belik, Ivan & Jörnsten, Kurt, 2014. "Centrality Computation in Weighted Networks Based on Edge-Splitting Procedure," Discussion Papers 2014/40, Norwegian School of Economics, Department of Business and Management Science.
  42. Florian Navarro, 2025. "Cooperative games with types, outside options, and the egalitarian value," Post-Print hal-04324424, HAL.
  43. Gómez, Daniel & Figueira, José Rui & Eusébio, Augusto, 2013. "Modeling centrality measures in social network analysis using bi-criteria network flow optimization problems," European Journal of Operational Research, Elsevier, vol. 226(2), pages 354-365.
  44. González–Arangüena, E. & Manuel, C. & Owen, G. & del Pozo, M., 2017. "The within groups and the between groups Myerson values," European Journal of Operational Research, Elsevier, vol. 257(2), pages 586-600.
  45. C. Manuel & E. Ortega & M. del Pozo, 2023. "Marginality and the position value," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 31(2), pages 459-474, July.
  46. Belik, Ivan & Jörnsten, Kurt, 2016. "The method of leader's overthrow in networks based on Shapley value," Socio-Economic Planning Sciences, Elsevier, vol. 56(C), pages 55-66.
  47. Susana López & Guillermo Owen & Martha Saboya, 2022. "The impact of intermediaries on a negotiation: an approach from game theory," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 30(3), pages 837-859, September.
  48. Lindelauf, R. & Hamers, H.J.M. & Husslage, B.G.M., 2011. "Game Theoretic Centrality Analysis of Terrorist Networks : The Cases of Jemaah Islamiyah and Al Qaeda," Discussion Paper 2011-107, Tilburg University, Center for Economic Research.
  49. Daniel Gómez & Javier Castro & Inmaculada Gutiérrez & Rosa Espínola, 2021. "A New Edge Betweenness Measure Using a Game Theoretical Approach: An Application to Hierarchical Community Detection," Mathematics, MDPI, vol. 9(21), pages 1-29, October.
  50. Inmaculada Gutiérrez & Daniel Gómez & Javier Castro & Rosa Espínola, 2022. "From Fuzzy Information to Community Detection: An Approach to Social Networks Analysis with Soft Information," Mathematics, MDPI, vol. 10(22), pages 1-22, November.
  51. Flores Díaz, Ramón Jesús & Molina Ferragut, Elisenda & Tejada, Juan, 2014. "A game theoretic approach to group centrality," DES - Working Papers. Statistics and Econometrics. WS ws142215, Universidad Carlos III de Madrid. Departamento de Estadística.
  52. Harald Wiese, 2009. "Applying cooperative game theory to power relations," Quality & Quantity: International Journal of Methodology, Springer, vol. 43(4), pages 519-533, July.
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