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

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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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Bibliographic 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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Web page: http://www.NETinst.org/

Related research

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

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References

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  1. Goyal, Sanjeev & Joshi, Sumit, 2003. "Networks of collaboration in oligopoly," Games and Economic Behavior, Elsevier, vol. 43(1), pages 57-85, April.
  2. Ballester, Coralio & Calvó-Armengol, Antoni & Zenou, Yves, 2005. "Who’s Who in Networks. Wanted: The Key Player," CEPR Discussion Papers 5329, C.E.P.R. Discussion Papers.
  3. Sanjeev Goyal & Marco van der Leij & José Luis Moraga Gonzales, 2004. "Economics: An Emerging Small World?," CESifo Working Paper Series 1287, CESifo Group Munich.
  4. Antoni Calvó-Armengol & Yves Zenou, 2003. "Social Networks and Crime Decisions: The Role of Social Structure in Facilitating Delinquent Behavior," Working Papers 52, Barcelona Graduate School of Economics.
  5. Bernheim, B Douglas, 1994. "A Theory of Conformity," Journal of Political Economy, University of Chicago Press, vol. 102(5), pages 841-77, October.
  6. Dooley, Peter C, 1969. "The Interlocking Directorate," American Economic Review, American Economic Association, vol. 59(3), pages 314-23, June.
  7. Leo Katz, 1953. "A new status index derived from sociometric analysis," Psychometrika, Springer, vol. 18(1), pages 39-43, March.
  8. Temurshoev Umed, 2009. "Hypothetical extraction and fields of influence approaches: integration and policy implications," EERC Working Paper Series 09/06e, EERC Research Network, Russia and CIS.
  9. Gert Sabidussi, 1966. "The centrality index of a graph," Psychometrika, Springer, vol. 31(4), pages 581-603, December.
  10. George A. Akerlof, 1997. "Social Distance and Social Decisions," Econometrica, Econometric Society, vol. 65(5), pages 1005-1028, September.
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Cited by:
  1. Sudipta Sarangi & Emre Unlu, . "Key Players and Key Groups in Teams," Departmental Working Papers 2011-10, Department of Economics, Louisiana State University.

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