Existence of Pure Strategies Nash Equilibria in Social Interaction Games with Dyadic Externalities
AbstractIn this note we introduce a general class of games where the payoff of every player are affected by her intrinsic taste for available strategic choices; intensity of her dyadic social interactions of with others in the peer group; and conformity effect. We show, that if the dyadic social influences are symmetric and the conformity effect is identical for all players, every game in our class admits a Nash equilibrium in pure strategies. Our proof relies on the fact that our game is potential (Rosenthal (1973), Monderer and Shapley (1996)). We also illustrate the universality of our result through a large spectrum of applications in economics, political science and sociology.
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Bibliographic InfoPaper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 7279.
Date of creation: Apr 2009
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Find related papers by JEL classification:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-05-02 (All new papers)
- NEP-GTH-2009-05-02 (Game Theory)
- NEP-NET-2009-05-02 (Network Economics)
- NEP-SOC-2009-05-02 (Social Norms & Social Capital)
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- Edward L. Glaeser & Bruce I. Sacerdote & Jose A. Scheinkman, 2002.
"The Social Multiplier,"
NBER Working Papers
9153, National Bureau of Economic Research, Inc.
- Edward L. Glaeser & Bruce I. Sacerdote & Jose A. Scheinkman, 2002. "The Social Multiplier," Harvard Institute of Economic Research Working Papers 1968, Harvard - Institute of Economic Research.
- E. Glaeser & B. Sacerdote & Jose A. Scheinkman, 2003. "The Social Multiplier," Levine's Working Paper Archive 506439000000000130, David K. Levine.
- Galam, Serge, 1996. "Fragmentation versus stability in bimodal coalitions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 230(1), pages 174-188.
- R. Luce & Albert Perry, 1949. "A method of matrix analysis of group structure," Psychometrika, Springer, vol. 14(2), pages 95-116, June.
- Suryapratim Banerjee & Hideo Konishi & Tayfun Sonmez, 1999.
"Core in a Simple Coalition Formation Game,"
Boston College Working Papers in Economics
449, Boston College Department of Economics.
- Edward E. Glaeser & Bruce Sacerdote & Jose A. Scheinkman, 1995.
"Crime and Social Interactions,"
Harvard Institute of Economic Research Working Papers
1738, Harvard - Institute of Economic Research.
- Milchtaich, Igal, 1996. "Congestion Games with Player-Specific Payoff Functions," Games and Economic Behavior, Elsevier, vol. 13(1), pages 111-124, March.
- Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
- Gary S. Becker, 1974.
"A Theory of Social Interactions,"
NBER Working Papers
0042, National Bureau of Economic Research, Inc.
- R. Florian & S. Galam, 2000. "Optimizing conflicts in the formation of strategic alliances," The European Physical Journal B - Condensed Matter and Complex Systems, Springer, vol. 16(1), pages 189-194, July.
- Nikolai S. Kukushkin, 2004.
"Congestion Games Revisited,"
Game Theory and Information
0412010, EconWPA, revised 02 Feb 2006.
- Ellison, Glenn, 1993.
"Learning, Local Interaction, and Coordination,"
Econometric Society, vol. 61(5), pages 1047-71, September.
- Gubert, Flore & Fafchamps, Marcel, 2007.
"The Formation of Risk Sharing Networks,"
Economics Papers from University Paris Dauphine
123456789/4392, Paris Dauphine University.
- Marcel Fafchamps & Flore Gubert, 2005. "The Formation of Risk Sharing Networks," Working Papers DT/2005/13, DIAL (Développement, Institutions et Mondialisation).
- Marcel Fafchamps & Flore Gubert, 2005. "The Formation of Risk Sharing Networks," Economics Series Working Papers GPRG-WPS-037, University of Oxford, Department of Economics.
- Bayer, Patrick & Timmins, Christopher, 2005. "On the equilibrium properties of locational sorting models," Journal of Urban Economics, Elsevier, vol. 57(3), pages 462-477, May.
- Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1997. "Pure Strategy Nash Equilibrium in a Group Formation Game with Positive Externalities," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 161-182, October.
- Andrea Galeotti & Sanjeev Goyal & Matthew O. Jackson & Fernando Vega-Redondo & Leeat Yariv, 2010.
Review of Economic Studies,
Oxford University Press, vol. 77(1), pages 218-244.
- Blume,L.E. & Durlauf,S.N., 2000. "The interactions-based approach to socioeconomic behavior," Working papers 1, Wisconsin Madison - Social Systems.
- Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
- Brock,W.A. & Durlauf,S.N., 2000.
"Discrete choice with social interactions,"
7, Wisconsin Madison - Social Systems.
- Schelling, Thomas C, 1969. "Models of Segregation," American Economic Review, American Economic Association, vol. 59(2), pages 488-93, May.
- George A. Akerlof, 1997. "Social Distance and Social Decisions," Econometrica, Econometric Society, vol. 65(5), pages 1005-1028, September.
- L. Blume, 2010.
"The Statistical Mechanics of Strategic Interaction,"
Levine's Working Paper Archive
488, David K. Levine.
- Blume Lawrence E., 1993. "The Statistical Mechanics of Strategic Interaction," Games and Economic Behavior, Elsevier, vol. 5(3), pages 387-424, July.
- Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1997. "Equilibria in a Model with Partial Rivalry," Journal of Economic Theory, Elsevier, vol. 72(1), pages 225-237, January.
- Jeffrey E. Harris & Beatriz Lopez-Valcarcel, 2004. "Asymmetric Social Interaction in Economics: Cigarette Smoking Among Young People in the United States, 1992-1999," NBER Working Papers 10409, National Bureau of Economic Research, Inc.
- Charles F. Manski, 2000.
"Economic Analysis of Social Interactions,"
Journal of Economic Perspectives,
American Economic Association, vol. 14(3), pages 115-136, Summer.
- Robert Axelrod & Will Mitchell & Robert E. Thomas & D. Scott Bennett & Erhard Bruderer, 1995. "Coalition Formation in Standard-Setting Alliances," Management Science, INFORMS, vol. 41(9), pages 1493-1508, September.
- Blume,L. & Durlauf,S., 2002. "Equilibrium concepts for social interaction models," Working papers 7, Wisconsin Madison - Social Systems.
- Le Breton, Michel & Weber, Shlomo, 2011. "Games of social interactions with local and global externalities," Economics Letters, Elsevier, vol. 111(1), pages 88-90, April.
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