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Characterizations of the β- and the Degree Network Power Measure

Author

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  • René Brink
  • Peter Borm
  • Ruud Hendrickx
  • Guillermo Owen

Abstract

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Suggested Citation

  • René Brink & Peter Borm & Ruud Hendrickx & Guillermo Owen, 2008. "Characterizations of the β- and the Degree Network Power Measure," Theory and Decision, Springer, vol. 64(4), pages 519-536, June.
    • Handle: RePEc:kap:theord:v:64:y:2008:i:4:p:519-536
    DOI: 10.1007/s11238-007-9077-8
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    References listed on IDEAS

    as
    1. Hendrickx, R.L.P. & Borm, P.E.M. & van den Brink, J.R. & Owen, G., 2005. "The V L Value for Network Games," Discussion Paper 2005-65, Tilburg University, Center for Economic Research.
    2. Peter Borm & René van den Brink & Marco Slikker, 2002. "An Iterative Procedure for Evaluating Digraph Competitions," Annals of Operations Research, Springer, vol. 109(1), pages 61-75, January.
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    Citations

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    Cited by:

    1. Michel Grabisch & Agnieszka Rusinowska, 2010. "A model of influence in a social network," Theory and Decision, Springer, vol. 69(1), pages 69-96, July.
    2. Zhiwei Cui & Yan-An Hwang & Ding-Cheng You, 2021. "Axiomatizations of the $$\beta $$ β and the score measures in networks," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(2), pages 399-418, June.
    3. Robert P. Gilles & Lina Mallozzi, 2022. "Gately Values of Cooperative Games," Papers 2208.10189, arXiv.org, revised Jul 2023.
    4. Agnieszka Rusinowska & Rudolf Berghammer & Harrie de Swart & Michel Grabisch, 2011. "Social networks: Prestige, centrality, and influence (Invited paper)," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00633859, HAL.
    5. Maria Carmela Schisani & Luigi Balletta & Giancarlo Ragozini, 2021. "Crowding out the change: business networks and persisting economic elites in the South of Italy over Unification (1840–1880)," Cliometrica, Journal of Historical Economics and Econometric History, Association Française de Cliométrie (AFC), vol. 15(1), pages 89-131, January.
    6. Maria Carmela Schisani & Luigi Balletta & Giancarlo Ragozini, 2021. "Crowding out the change: business networks and persisting economic elites in the South of Italy over Unification (1840–1880)," Cliometrica, Springer;Cliometric Society (Association Francaise de Cliométrie), vol. 15(1), pages 89-131, January.
    7. Gilles, Robert P. & Mallozzi, Lina, 2022. "Generalised Gately Values of Cooperative Games," QBS Working Paper Series 2022/06, Queen's University Belfast, Queen's Business School.

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    More about this item

    Keywords

    symmetric networks; network power; β-measure; degree measure; stationary power distribution; C71; Z13;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • Z13 - Other Special Topics - - Cultural Economics - - - Economic Sociology; Economic Anthropology; Language; Social and Economic Stratification

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