This paper introduces a new coordination problem for a large but finite population – The Language Game. The population is partitioned into two groups of identical agents. Each player shares a common two-action strategy set and interacts pairwise with everyone else. Both symmetric profiles are Pareto-efficient strict equilibria, but the groups rank them differently. The profile where successful coordination occurs only within-group, with each group adopting their most preferred equilibrium action, is also an equilibrium provided the smaller groupʼs preferences are sufficiently strong. In all dynamically stable long-run outcomes, players in the same group adopt the same action. Three properties, that do not matter for equilibrium selection in standard homogeneous agent models, do matter in the Language Game. These are: group size, strength of group preferences, and rates of group adaptiveness (“group dynamism”). A relative increase in group size and group dynamism is always weakly beneficial.
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- Samuelson, Larry & Zhang, Jianbo, 1992. "Evolutionary stability in asymmetric games," Journal of Economic Theory, Elsevier, vol. 57(2), pages 363-391, August.
- José Canals & Fernando Vega-Redondo, 1998. "Multi-level evolution in population games," International Journal of Game Theory, Springer, vol. 27(1), pages 21-35.
- 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.
- Arthur J Robson & Fernando Vega-Redondo, 1999.
"Efficient Equilibrium Selection in Evolutionary Games with Random Matching,"
Levine's Working Paper Archive
2112, David K. Levine.
- Robson, Arthur J. & Vega-Redondo, Fernando, 1996. "Efficient Equilibrium Selection in Evolutionary Games with Random Matching," Journal of Economic Theory, Elsevier, vol. 70(1), pages 65-92, July.
- Ely Jeffrey C, 2002. "Local Conventions," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 2(1), pages 1-32, May.
- Glen Ellison, 2010.
"Learning, Local Interaction, and Coordination,"
Levine's Working Paper Archive
391, David K. Levine.
- Tom Quilter, 2007. "Noise Matters in Heterogeneous Populations," ESE Discussion Papers 169, Edinburgh School of Economics, University of Edinburgh.
- Kim, Yong-Gwan & Sobel, Joel, 1995.
"An Evolutionary Approach to Pre-play Communication,"
Econometric Society, vol. 63(5), pages 1181-93, September.
- Kim, Y.G. & Sobel, J., 1993. "An Evolutionary Approach to Pre-Play Communication," Working Papers 93-02, University of Iowa, Department of Economics.
- Peski, Marcin, 2010. "Generalized risk-dominance and asymmetric dynamics," Journal of Economic Theory, Elsevier, vol. 145(1), pages 216-248, January.
- Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
- Daniel Friedman, 1998.
"On economic applications of evolutionary game theory,"
Journal of Evolutionary Economics,
Springer, vol. 8(1), pages 15-43.
- Daniel Friedman, 2010. "On Economic Applications of Evolutionary Game Theory," Levine's Working Paper Archive 53, David K. Levine.
- Myatt, David P. & Wallace, Chris C., 2004.
"Adaptive play by idiosyncratic agents,"
Games and Economic Behavior,
Elsevier, vol. 48(1), pages 124-138, July.
- Kandori, M. & Mailath, G.J., 1991.
"Learning, Mutation, And Long Run Equilibria In Games,"
71, Princeton, Woodrow Wilson School - John M. Olin Program.
- Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, 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.
- Arthur, W Brian, 1989. "Competing Technologies, Increasing Returns, and Lock-In by Historical Events," Economic Journal, Royal Economic Society, vol. 99(394), pages 116-31, March.
- H. Peyton Young, 1996. "The Economics of Convention," Journal of Economic Perspectives, American Economic Association, vol. 10(2), pages 105-122, Spring.
- Joseph Farrell & Garth Saloner, 1985.
"Standardization, Compatibility, and Innovation,"
RAND Journal of Economics,
The RAND Corporation, vol. 16(1), pages 70-83, Spring.
- Ellison, Glenn, 2000. "Basins of Attraction, Long-Run Stochastic Stability, and the Speed of Step-by-Step Evolution," Review of Economic Studies, Wiley Blackwell, vol. 67(1), pages 17-45, January.
- Sandholm, William H., 2007. "Pigouvian pricing and stochastic evolutionary implementation," Journal of Economic Theory, Elsevier, vol. 132(1), pages 367-382, January.
- Bergin, James & Lipman, Barton L, 1996.
"Evolution with State-Dependent Mutations,"
Econometric Society, vol. 64(4), pages 943-56, July.
- BERGIN, James & LIPMAN, Bart, 1994. "Evolution with State-Dependent Mutations," CORE Discussion Papers 1994055, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- J Bergin & B L Lipman, 1997. "Evolution with state-dependent Mutations," Levine's Working Paper Archive 771, David K. Levine.
- J. Bergin & B. Lipman, 2010. "Evolution with State-Dependent Mutations," Levine's Working Paper Archive 486, David K. Levine.
- Oechssler, Jorg, 1997.
"Decentralization and the coordination problem,"
Journal of Economic Behavior & Organization,
Elsevier, vol. 32(1), pages 119-135, January.
- Katz, Michael L & Shapiro, Carl, 1985. "Network Externalities, Competition, and Compatibility," American Economic Review, American Economic Association, vol. 75(3), pages 424-40, June.
- Jeffrey C. Ely, 2002. "Local Conventions," Discussion Papers 1349, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Jean-Paul Carvalho, 2010. "Coordination and Culture," Economics Series Working Papers 489, University of Oxford, Department of Economics.
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