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Who's Who in Networks. Wanted: The Key Player

  • Coralio Ballester
  • Antoni Calvó-Armengol
  • Yves Zenou

Finite population non-cooperative games with linear-quadratic utilities, where each player decides how much action she exerts, can be interpreted as a network game with local payoff complementarities, together with a globally uniform payoff substitutability component and an ownconcavity effect. For these games, the Nash equilibrium action of each player is proportional to her Bonacich centrality in the network of local complementarities, thus establishing a bridge with the sociology literature on social networks. This Bonacich-Nash linkage implies that aggregate equilibrium increases with network size and density. We then analyze a policy that consists of targeting the key player, that is, the player who, once removed, leads to the optimal change in aggregate activity. We provide a geometric characterization of the key player identifed with an inter-centrality measure, which takes into account both a player's centrality and her contribution to the centrality of the others.

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Paper provided by Barcelona Graduate School of Economics in its series Working Papers with number 178.

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Date of creation: Jul 2004
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Handle: RePEc:bge:wpaper:178
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  1. Akerlof, George A, 1980. "A Theory of Social Custom, of Which Unemployment May be One Consequence," The Quarterly Journal of Economics, MIT Press, vol. 94(4), pages 749-75, June.
  2. Goyal, S. & Moraga-Gonzalez, J.L., 2000. "R&D Networks," Econometric Institute Research Papers EI 2000-26A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  3. George A. Akerlof, 1997. "Social Distance and Social Decisions," Econometrica, Econometric Society, vol. 65(5), pages 1005-1028, September.
  4. Durlauf, Steven N., 2004. "Neighborhood effects," Handbook of Regional and Urban Economics, in: J. V. Henderson & J. F. Thisse (ed.), Handbook of Regional and Urban Economics, edition 1, volume 4, chapter 50, pages 2173-2242 Elsevier.
  5. Matthew O. Jackson, 2003. "A survey of models of network formation: Stability and efficiency," Working Papers 1161, California Institute of Technology, Division of the Humanities and Social Sciences.
  6. Eli Berman, 1998. "Sect, Subsidy, and Sacrifice: An Economist's View of Ultra-Orthodox Jews," NBER Working Papers 6715, National Bureau of Economic Research, Inc.
  7. Bernheim, B Douglas, 1994. "A Theory of Conformity," Journal of Political Economy, University of Chicago Press, vol. 102(5), pages 841-77, October.
  8. Kandel, Eugene & Lazear, Edward P, 1992. "Peer Pressure and Partnerships," Journal of Political Economy, University of Chicago Press, vol. 100(4), pages 801-17, August.
  9. Leo Katz, 1953. "A new status index derived from sociometric analysis," Psychometrika, Springer, vol. 18(1), pages 39-43, March.
  10. Ballester, Coralio & Calvó-Armengol, Antoni & Zenou, Yves, 2004. "Who's Who in Crime Networks: Wanted - The Key Player," CEPR Discussion Papers 4421, C.E.P.R. Discussion Papers.
  11. Matt Jackson, 2003. "The Effects of Social Networks on Employment and Inequality," Theory workshop papers 658612000000000032, UCLA Department of Economics.
  12. Iannaccone, Laurence R, 1992. "Sacrifice and Stigma: Reducing Free-Riding in Cults, Communes, and Other Collectives," Journal of Political Economy, University of Chicago Press, vol. 100(2), pages 271-91, April.
  13. Calvó-Armengol, Antoni & Zenou, Yves, 2003. "Social Networks and Crime Decisions: The Role of Social Structure in Facilitating Delinquent Behaviour," CEPR Discussion Papers 3966, C.E.P.R. Discussion Papers.
  14. Goyal, Sanjeev & Joshi, Sumit, 2003. "Networks of collaboration in oligopoly," Games and Economic Behavior, Elsevier, vol. 43(1), pages 57-85, April.
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