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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. René Van Den Brink & Agnieszka Rusinowska, 2023. "Degree Centrality, von Neumann-Morgenstern Expected Utility and Externalities in Networks," Documents de travail du Centre d'Economie de la Sorbonne 23012, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. 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.
  12. René van den Brink & Agnieszka Rusinowska, 2017. "The degree measure as utility function over positions in networks," Documents de travail du Centre d'Economie de la Sorbonne 17035, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  13. 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.
  14. Manuel, C. & Ortega, E. & del Pozo, M., 2020. "Marginality and Myerson values," European Journal of Operational Research, Elsevier, vol. 284(1), pages 301-312.
  15. 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.
  16. 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.
  17. 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.
  18. 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.
  19. 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.
  20. 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.
  21. 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.
  22. 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.
  23. 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.
  24. 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.
  25. 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.
  26. 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.
  27. 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.
  28. 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.
  29. Harald Wiese, 2009. "Applying cooperative game theory to power relations," Quality & Quantity: International Journal of Methodology, Springer, vol. 43(4), pages 519-533, July.
  30. 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.
  31. 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.
  32. 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.
  33. Nizar Allouch & A. Meca & K. Polotskaya, 2021. "The Bonacich Shapley centrality," Studies in Economics 2106, School of Economics, University of Kent.
  34. 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.
  35. 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.
  36. 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.
  37. 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.
  38. 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.
  39. 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.
  40. Encarnacion Algaba & Rene van den Brink, 2019. "The Shapley Value and Games with Hierarchies," Tinbergen Institute Discussion Papers 19-064/II, Tinbergen Institute.
  41. 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.
  42. 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.
  43. 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.
  44. Jacob North Clark & Stephen Montgomery-Smith, 2018. "Shapley-like values without symmetry," Papers 1809.07747, arXiv.org, revised May 2019.
  45. 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.
  46. René Van Den Brink & Agnieszka Rusinowska, 2023. "Degree Centrality, von Neumann-Morgenstern Expected Utility and Externalities in Networks," Documents de travail du Centre d'Economie de la Sorbonne 23012r, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised Jun 2024.
  47. 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.
  48. 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.
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