Existence of Pure Strategies Nash Equilibria in Social Interaction Games with Dyadic Externalities
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.
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- 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.
- 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.
- 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.
- Marcel Fafchamps & Flore Gubert, 2005.
"The Formation of Risk Sharing Networks,"
DT/2005/13, DIAL (Développement, Institutions et Mondialisation).
- 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;The Psychometric Society, vol. 14(2), pages 95-116, June.
- Milchtaich, Igal, 1996. "Congestion Games with Player-Specific Payoff Functions," Games and Economic Behavior, Elsevier, vol. 13(1), pages 111-124, March.
- Becker, Gary S, 1974.
"A Theory of Social Interactions,"
Journal of Political Economy,
University of Chicago Press, vol. 82(6), pages 1063-1093, Nov.-Dec..
- Glen Ellison, 2010.
"Learning, Local Interaction, and Coordination,"
Levine's Working Paper Archive
391, David K. Levine.
- R. Florian & S. Galam, 2000. "Optimizing conflicts in the formation of strategic alliances," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 16(1), pages 189-194, July.
- 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.
- Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001.
"Core in a simple coalition formation game,"
Social Choice and Welfare,
Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 135-153.
- Axelrod, Robert & Bennett, D. Scott, 1993. "A Landscape Theory of Aggregation," British Journal of Political Science, Cambridge University Press, vol. 23(02), pages 211-233, April.
- repec:dau:papers:123456789/4392 is not listed on IDEAS
- Schelling, Thomas C, 1969. "Models of Segregation," American Economic Review, American Economic Association, vol. 59(2), pages 488-493, 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.
- 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.
- Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
- 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.
- Andrea Galeotti & Sanjeev Goyal & Matthew O. Jackson & Fernando Vega-Redondo & Leeat Yariv, 2008.
Economics Working Papers
ECO2008/07, European University Institute.
- Brock,W.A. & Durlauf,S.N., 2000.
"Discrete choice with social interactions,"
7, Wisconsin Madison - Social Systems.
- George A. Akerlof, 1997. "Social Distance and Social Decisions," Econometrica, Econometric Society, vol. 65(5), pages 1005-1028, September.
- 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.
- Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, 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.
- 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.
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