Who's Who in Networks. Wanted: the Key Player
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 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 in 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 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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- Leo Katz, 1953. "A new status index derived from sociometric analysis," Psychometrika, Springer, vol. 18(1), pages 39-43, March.
- 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.
- George A. Akerlof, 1978.
"A theory of social custom, of which unemployment may be one consequence,"
Special Studies Papers
118, Board of Governors of the Federal Reserve System (U.S.).
- 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.
- Matt Jackson, 2003.
"The Effects of Social Networks on Employment and Inequality,"
Theory workshop papers
658612000000000032, UCLA Department of Economics.
- 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.
- Kandel, E. & Lazear, E.P., 1990.
"Peer Pressure and Partnerships,"
90-07, Rochester, Business - Managerial Economics Research Center.
- Durlauf,S.N., 2003.
17, Wisconsin Madison - Social Systems.
- Goyal, Sanjeev & Joshi, Sumit, 2003.
"Networks of collaboration in oligopoly,"
Games and Economic Behavior,
Elsevier, vol. 43(1), pages 57-85, April.
- Goyal, S. & Joshi, S., 2000. "Networks of Collaboration in Oligopoly," Econometric Institute Research Papers EI 9952-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
- Sumit Joshi, 2000. "Networks of Collaboration in Oligopoly," Econometric Society World Congress 2000 Contributed Papers 0623, Econometric Society.
- 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.
- 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.
- Calvó-Armengol, Antoni & Zenou, Yves, 2003. "Social Networks and Crime Decisions: The Role of Social Structure in Facilitating Delinquent Behavior," Working Paper Series 601, Research Institute of Industrial Economics.
- 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.
- George A. Akerlof, 1997. "Social Distance and Social Decisions," Econometrica, Econometric Society, vol. 65(5), pages 1005-1028, September.
- Matthew O. Jackson, 2003.
"A survey of models of network formation: Stability and efficiency,"
1161, California Institute of Technology, Division of the Humanities and Social Sciences.
- Matthew O. Jackson, 2003. "A Survey of Models of Network Formation: Stability and Efficiency," Game Theory and Information 0303011, EconWPA.
- 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.
- 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.
- Ballester, Coralio & Calvó-Armengol, Antoni & Zenou, Yves, 2004.
"Who's Who in Crime Network. Wanted the Key Player,"
Working Paper Series
617, Research Institute of Industrial Economics.
- 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.
- Goyal, S. & Moraga-Gonzalez, J.L., 2000.
Econometric Institute Research Papers
EI 2000-26A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
- Bernheim, B Douglas, 1994. "A Theory of Conformity," Journal of Political Economy, University of Chicago Press, vol. 102(5), pages 841-77, October.
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