Social Conformity in Games with Many Players
AbstractIn the literature of psychology and economics it is frequently observed that individuals tend to imitate similar individuals. A fundamental question is whether the outcome of such imitation can be consistent with self-interested behaviour. We propose that this consistency requires the existence of a Nash equilibrium that introduces a partition of the player set into relatively few groups of similar individuals playing the same or similar strategies. In this paper we define and characterize a family of games admitting existence of approximate Nash equilibria in pure strategies that introduce partitions of the player sets with the desired properties. We also introduce the Conley-Wooders concept of 'crowding types' into our description of players and distinguish between the crowding type of a player - those characteristics of a player that have direct effect on others - and his tastes, taken to directly affect only that player. With the assumptions of 'within crowding type anonymity' and a 'convexity of taste-types' assumption we show that the number of groups can be uniformly bounded.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by University of Warwick, Department of Economics in its series The Warwick Economics Research Paper Series (TWERPS) with number 682.
Length: 26 pages
Date of creation: 2003
Date of revision:
Other versions of this item:
- C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
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.:
- Ehud Kalai, 2000. "Private Information in Large Games," Discussion Papers 1312, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Conley, John P. & Wooders, Myrna H., 2001. "Tiebout Economies with Differential Genetic Types and Endogenously Chosen Crowding Characteristics," Journal of Economic Theory, Elsevier, vol. 98(2), pages 261-294, June.
- A. Banerjee & Drew Fudenberg, 2010.
"Word-of-Mouth Communication and Social Learning,"
Levine's Working Paper Archive
425, David K. Levine.
- Gale, D. & Rosental, R.W., 1996.
"Experimentation, Imitation, and Stochastic Stability,"
65, Boston University - Industry Studies Programme.
- Gale, Douglas & Rosenthal, Robert W., 1999. "Experimentation, Imitation, and Stochastic Stability," Journal of Economic Theory, Elsevier, vol. 84(1), pages 1-40, January.
- Douglas Gale & Robert W. Rosenthal, 1996. "Experimentation, Imitation, and Stochastic Stability," Papers 0065, Boston University - Industry Studies Programme.
- Edward Cartwright, 2002.
"Learning to play approximate Nash equilibria in games with many players,"
Levine's Working Paper Archive
506439000000000070, David K. Levine.
- Cartwright, Edward, 2003. "Learning To Play Approximate Nash Equilibria In Games With Many Players," The Warwick Economics Research Paper Series (TWERPS) 671, University of Warwick, Department of Economics.
- Edward Cartwright, 2004. "Learning to Play Approximate Nash Equilibria in Games with Many Players," Working Papers 2004.85, Fondazione Eni Enrico Mattei.
- Conley, John P. & Wooders, Myrna, 1996. "Taste-homogeneity of optimal jurisdictions in a Tiebout economy with crowding types and endogenous educational investment choices," Ricerche Economiche, Elsevier, vol. 50(4), pages 367-387, December.
- Wooders, Myrna, 1978. "Equilibria, the core, and jurisdiction structures in economies with a local public good," Journal of Economic Theory, Elsevier, vol. 18(2), pages 328-348, August.
- Conley, John P. & Wooders, Myrna H., 1997. "Equivalence of the Core and Competitive Equilibrium in a Tiebout Economy with Crowding Types," Journal of Urban Economics, Elsevier, vol. 41(3), pages 421-440, May.
- Rui Pascoa, Mario, 1993. "Approximate equilibrium in pure strategies for non-atomic games," Journal of Mathematical Economics, Elsevier, vol. 22(3), pages 223-241.
- Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993.
"Learning, Mutation, and Long Run Equilibria in Games,"
Econometric Society, vol. 61(1), pages 29-56, January.
- M. Kandori & G. Mailath & R. Rob, 1999. "Learning, Mutation and Long Run Equilibria in Games," Levine's Working Paper Archive 500, David K. Levine.
- Kandori, M. & Mailath, G.J., 1991. "Learning, Mutation, And Long Run Equilibria In Games," Papers 71, Princeton, Woodrow Wilson School - John M. Olin Program.
- Demange, G., 1991.
"Intermediate Preferences and Stable Coalition Structures,"
DELTA Working Papers
91-16, DELTA (Ecole normale supérieure).
- Demange, Gabrielle, 1994. "Intermediate preferences and stable coalition structures," Journal of Mathematical Economics, Elsevier, vol. 23(1), pages 45-58, January.
- Wooders, M. & Selten, R. & Cartwright, E., 2001. "Some First Results for Noncooperative Pregames : Social Conformity and Equilibrium in Pure Strategies," The Warwick Economics Research Paper Series (TWERPS) 589, University of Warwick, Department of Economics.
- Edward Cartwright & Myrna Wooders, 2008. "Behavioral Properties of Correlated Equilibrium; Social Group Structures with Conformity and Stereotyping," Vanderbilt University Department of Economics Working Papers 0814, Vanderbilt University Department of Economics.
- Cartwright, Edward, 2003. "Imitation and the Emergence of Nash Equilibrium Play in Games with Many Players," The Warwick Economics Research Paper Series (TWERPS) 684, University of Warwick, Department of Economics.
- Wooders, Myrna & Edward Cartwright & Selten, Reinhard, 2002. "Social Conformity And Equilibrium In Pure Strategies In Games With Many Players," The Warwick Economics Research Paper Series (TWERPS) 636, University of Warwick, Department of Economics.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Helen Neal).
If references are entirely missing, you can add them using this form.