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Who's Who in Networks. Wanted: the Key Group

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Author Info
Umed Temurshoev () (Department of Economics and SOM Research School, University of Groningen)

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Abstract

Ballester, Calvo-Armengol, and Zenou (2006, Econometrica, 74/5, pp. 1403-17) show that in a network game with local payoff complementarities, together with global uniform payoff substitutability and own concavity effects, the intercentrality measure identifies the key player - a player who, once removed, leads to the optimal change in overall activity. In this paper we search for the key group in such network games, whose members are, in general, different from the players with the highest individual intercentralities. Thus the quest for a single target is generalized to a group selection problem targeting an arbitrary number of players, where the key group is identified by a group intercentrality measure. We show that the members of a key group are rather nonredundant actors, i.e., they are largely heterogenous in their patterns of ties to the third parties.

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Publisher Info
Paper provided by NET Institute in its series Working Papers with number 08-08.

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Length: 25 pages
Date of creation: Sep 2008
Date of revision: Sep 2008
Handle: RePEc:net:wpaper:0808

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Related research
Keywords: social networks; centrality measures; intercentrality measures; clusters; policies;

Find related papers by JEL classification:
A14 - General Economics and Teaching - - General Economics - - - Sociology of Economics
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
L14 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Transactional Relationships; Contracts and Reputation

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References listed on IDEAS
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  1. Gert Sabidussi, 1966. "The centrality index of a graph," Psychometrika, Springer, vol. 31(4), pages 581-603, December. [Downloadable!] (restricted)
  2. Antoni Calvó-Armengol & Yves Zenou, 2004. "Social Networks And Crime Decisions: The Role Of Social Structure In Facilitating Delinquent Behavior," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(3), pages 939-958, 08. [Downloadable!] (restricted)
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  3. Sanjeev Goyal & Marco J. van der Leij & José Luis Moraga-Gonzalez, 2006. "Economics: An Emerging Small World," Journal of Political Economy, University of Chicago Press, vol. 114(2), pages 403-432, April. [Downloadable!] (restricted)
    Other versions:
  4. Coralio Ballester & Antoni Calvó-Armengol & Yves Zenou, 2006. "Who's Who in Networks. Wanted: The Key Player," Econometrica, Econometric Society, vol. 74(5), pages 1403-1417, 09. [Downloadable!] (restricted)
    Other versions:
  5. Bernheim, B Douglas, 1994. "A Theory of Conformity," Journal of Political Economy, University of Chicago Press, vol. 102(5), pages 841-77, October. [Downloadable!] (restricted)
  6. George A. Akerlof, 1997. "Social Distance and Social Decisions," Econometrica, Econometric Society, vol. 65(5), pages 1005-1028, September.
  7. Leo Katz, 1953. "A new status index derived from sociometric analysis," Psychometrika, Springer, vol. 18(1), pages 39-43, March. [Downloadable!] (restricted)
  8. Goyal, Sanjeev & Joshi, Sumit, 2003. "Networks of collaboration in oligopoly," Games and Economic Behavior, Elsevier, vol. 43(1), pages 57-85, April. [Downloadable!] (restricted)
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  9. Dooley, Peter C, 1969. "The Interlocking Directorate," American Economic Review, American Economic Association, vol. 59(3), pages 314-23, June. [Downloadable!] (restricted)
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