Existence of Pure Strategies Nash Equilibria in Social Interaction Games with Dyadic Externalities
Abstract
In 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.Download Info
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Bibliographic Info
Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 7279.Length:
Date of creation: Apr 2009
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Handle: RePEc:cpr:ceprdp:7279
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Related research
Keywords: conformity effect; dyadic externalities; Nash equilibria; potential games; Social interactions;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)
References
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- Gary S. Becker, 1974.
"A Theory of Social Interactions,"
NBER Working Papers
0042, National Bureau of Economic Research, Inc.
- Becker, Gary S, 1974. "A Theory of Social Interactions," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1063-93, Nov.-Dec..
- Edward L. Glaeser & Bruce Sacerdote & Jose A. Scheinkman, 1995.
"Crime and Social Interactions,"
NBER Working Papers
5026, National Bureau of Economic Research, Inc.
- Glaeser, Edward L & Sacerdote, Bruce & Scheinkman, Jose A, 1996. "Crime and Social Interactions," The Quarterly Journal of Economics, MIT Press, vol. 111(2), pages 507-48, May.
- 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.
- Glaeser, E.L. & Scheinkman, J.A. & Sacerdote, J.A., 1995. "Crime and Social Interactions," Working Papers e-95-2, Hoover Institution, Stanford University.
- Ellison, Glenn, 1993.
"Learning, Local Interaction, and Coordination,"
Econometrica,
Econometric Society, vol. 61(5), pages 1047-71, September.
- Glen Ellison, 2010. "Learning, Local Interaction, and Coordination," Levine's Working Paper Archive 391, David K. Levine.
- 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.
- Edward L. Glaeser & Bruce I. Sacerdote & Jose A. Scheinkman, 2003. "The Social Multiplier," Journal of the European Economic Association, MIT Press, vol. 1(2-3), pages 345-353, 04/05.
- Edward L. Glaeser & Bruce I. Sacerdote & Jose A. Scheinkman, 2002. "The Social Multiplier," NBER Working Papers 9153, National Bureau of Economic Research, Inc.
- E. Glaeser & B. Sacerdote & Jose A. Scheinkman, 2003. "The Social Multiplier," Levine's Working Paper Archive 506439000000000130, David K. Levine.
- Nikolai Kukushkin, 2007.
"Congestion games revisited,"
International Journal of Game Theory,
Springer, vol. 36(1), pages 57-83, September.
- Nikolai S. Kukushkin, 2004. "Congestion Games Revisited," Game Theory and Information 0412010, EconWPA, revised 02 Feb 2006.
- Blume,L.E. & Durlauf,S.N., 2000. "The interactions-based approach to socioeconomic behavior," Working papers 1, Wisconsin Madison - Social Systems.
- George A. Akerlof, 1997. "Social Distance and Social Decisions," Econometrica, Econometric Society, vol. 65(5), pages 1005-1028, September.
- Blume Lawrence E., 1993.
"The Statistical Mechanics of Strategic Interaction,"
Games and Economic Behavior,
Elsevier, vol. 5(3), pages 387-424, July.
- L. Blume, 2010. "The Statistical Mechanics of Strategic Interaction," Levine's Working Paper Archive 488, David K. Levine.
- 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.
- 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.
- Andrea Galeotti & Sanjeev Goyal & Matthew O. Jackson & Fernando Vega-Redondo & Leeat Yariv, 2010.
"Network Games,"
Review of Economic Studies,
Oxford University Press, vol. 77(1), pages 218-244.
- Andrea Galeotti & Sanjeev Goyal & Matthew O. Jackson & Fernando Vega-Redondo & Leeat Yariv, 2008. "Network Games," Economics Working Papers ECO2008/07, European University Institute.
- Brock, William A & Durlauf, Steven N, 2001.
"Discrete Choice with Social Interactions,"
Review of Economic Studies,
Wiley Blackwell, vol. 68(2), pages 235-60, April.
- Brock,W.A. & Durlauf,S.N., 2000. "Discrete choice with social interactions," Working papers 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.
- Blume,L. & Durlauf,S., 2002. "Equilibrium concepts for social interaction models," Working papers 7, Wisconsin Madison - Social Systems.
- Charles F. Manski, 2000.
"Economic Analysis of Social Interactions,"
NBER Working Papers
7580, 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.
- Galam, Serge, 1996. "Fragmentation versus stability in bimodal coalitions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 230(1), pages 174-188.
- 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.
- 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.
- Marcel Fafchamps & Flore Gubert, 2005.
"The Formation of Risk Sharing Networks,"
Working Papers
DT/2005/13, DIAL (Développement, Institutions et Mondialisation).
- Fafchamps, Marcel & Gubert, Flore, 2007. "The formation of risk sharing networks," Journal of Development Economics, Elsevier, vol. 83(2), pages 326-350, July.
- Gubert, Flore & Fafchamps, Marcel, 2007. "The Formation of Risk Sharing Networks," Open Access publications from Université Paris-Dauphine urn:hdl:123456789/4392, Université Paris-Dauphine.
- Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001.
"Core in a simple coalition formation game,"
Social Choice and Welfare,
Springer, vol. 18(1), pages 135-153.
- 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.
- R. Luce & Albert Perry, 1949. "A method of matrix analysis of group structure," Psychometrika, Springer, vol. 14(2), pages 95-116, June.
- 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.
- Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
Citations
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- 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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