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

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Author Info
Coralio Ballester
Antoni Calvó-Armengol
Yves Zenou

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Abstract

Finite population noncooperative 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 own-concavity 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 identified with an intercentrality measure, which takes into account both a player's centrality and her contribution to the centrality of the others. Copyright The Econometric Society 2006.

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File URL: http://hdl.handle.net/10.1111/j.1468-0262.2006.00709.x
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Publisher Info
Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 74 (2006)
Issue (Month): 5 (09)
Pages: 1403-1417
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Handle: RePEc:ecm:emetrp:v:74:y:2006:i:5:p:1403-1417

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. George A. Akerlof, 1997. "Social Distance and Social Decisions," Econometrica, Econometric Society, vol. 65(5), pages 1005-1028, September.
  2. Leo Katz, 1953. "A new status index derived from sociometric analysis," Psychometrika, Springer, vol. 18(1), pages 39-43, March. [Downloadable!] (restricted)
  3. 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. [Downloadable!] (restricted)
  4. 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. [Downloadable!] (restricted)
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  5. 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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  6. Antoni Calvó-Armengol & Matthew O. Jackson, 2004. "The Effects of Social Networks on Employment and Inequality," American Economic Review, American Economic Association, vol. 94(3), pages 426-454, June. [Downloadable!]
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  7. Goyal, Sanjeev & Moraga-Gonzalez, Jose Luis, 2001. "R&D Networks," RAND Journal of Economics, The RAND Corporation, vol. 32(4), pages 686-707, Winter.
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  8. Eli Berman, 2000. "Sect, Subsidy, And Sacrifice: An Economist'S View Of Ultra-Orthodox Jews," The Quarterly Journal of Economics, MIT Press, vol. 115(3), pages 905-953, August. [Downloadable!] (restricted)
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  9. 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. [Downloadable!] (restricted)
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  10. 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. [Downloadable!] (restricted)
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  11. 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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  12. 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. [Downloadable!] (restricted)
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  13. 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)
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