Berardi, Michele (2012): Strategic interactions, incomplete information and learning.
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In a model of incomplete, heterogeneous information, with externalities and strategic interactions, we analyze the possibility for learning to act as coordination device. We build on the framework proposed by Angeletos and Pavan (2007) and extend it to a dynamic multiperiod setting where agents need to learn to coordinate. We analyze conditions under which adaptive and eductive learning obtain, and show that adaptive learning conditions are less demanding than the eductive ones: in particular, when actions are strategic substitutes, the equilibrium is always adaptively learnable, while it might not be eductively so. In case of heterogeneous preferences, moreover, convergence only depends on the average characteristic of agents in the economy. We also show that adaptive learning dynamics converge to the game theoretical strategic equilibrium, which means that agents can learn to act strategically in a simple and straightforward way.
|Item Type:||MPRA Paper|
|Original Title:||Strategic interactions, incomplete information and learning|
|Keywords:||Learning; heterogeneity; interaction; coordination|
|Subjects:||D - Microeconomics > D8 - Information, Knowledge, and Uncertainty > D83 - Search; Learning; Information and Knowledge; Communication; Belief
C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C73 - Stochastic and Dynamic Games; Evolutionary Games; Repeated Games
C - Mathematical and Quantitative Methods > C6 - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling > C62 - Existence and Stability Conditions of Equilibrium
|Depositing User:||Michele Berardi|
|Date Deposited:||07. May 2012 22:19|
|Last Modified:||14. Feb 2013 18:55|
 Angeletos, G.-M., Pavan, A., 2007. E¢ cient use of information and social value of information. Econometrica 75, 1103-1142.
 Angeletos, G.-M., Pavan, A., 2007. Supplement to "E¢ cient use of information and social value of information" (Econometrica 75, 1103-1142). Econometrica Supplementary Material.
 Angeletos, G.-M., Hellwig, C., Pavan, A., 2007. Dynamic global games of regime change: learning, multiplicity, and the time of attack. Econometrica 75, 711-756.
 Azariadis, C., 1981. Self-ful�lling prophecies. Journal of Economic Theory 25, 380-396.
 Beggs, A., 2009. Learning in Bayesian games with binary actions. The BE Journal of Theoretical Economics - Advances, 33.
 Branch,W. A., McGough, B., 2009. A New Keynesian model with heterogeneous expectations. Journal of Economic Dynamics and Control 33, 1036-1051.
 Carton, J., Guse, E., 2010. Replicator Dynamic Learning in Muth's Model of Price Movements. Working Papers 10-18, Department of Economics, West Virginia University.
 Cass, D., Shell, K., 1983. Do sunspot matter? Journal of Political Economy 91, 193-227.
 Crawford, V. P., 1995. Adaptive dynamics in coordination games. Econometrica 63, 103-143.
 Evans, G. W., Guesnerie, R., 1993. Rationalizability, strong rationality, and expectational stability. Games and Economics Behavior 5, 632-646.
 Evans, G.W., Honkapohja, S., 1994. On the local stability of sunspot equilibria under adaptive learning rules. Journal of Economic Theory 64, 142-161.
 Evans, G.W., Honkapohja, S., 2001. Learning and Expectations in Macroeconomics. Princeton University Press.
 Evans, G.W., Honkapohja, S., 2003. Expectational stability of stationary sunspot equilibria in a forward-looking model. Journal of Economic Dynamics and Control 28, 171-181.
 Evans, G.W., McGough, B., 2005. Stable sunspot solutions in models with predetermined variables. Journal of Economic Dynamics and Control 29, 601-625.
 Guesnerie, R., 1992. An exploration of eductive justi�cations of the rational expectations hypothesis. American Economic Review 82, 1254-78.
 Guesnerie, R., 1986. Stationary sunspot equilibria in an N-commodity world, Journal of Economic Theory 40, 103-128.
 Kreps, D., 1998. Anticipated Utility and Dynamic Choice. In D.P. Jacobs, E. Kalai, and M. Kamien, eds., Frontiers of Research in Economic Theory, Cambridge: Cambridge University Press, 242-74.
 Marcet, A., Sargent, T.J., 1989. Convergence of least-squares learning in environments with hidden state variables and private information. Journal of Political Economy, 1306-1322.
 Marimon, R., McGrattan, E., 1992. On adaptive learning in strategic games. Economics Working Paper 24, Universitat Pompeu Fabra.
 Morris, S., Shin, H. S., 1998. Unique equilibrium in a model of self-ful�lling currency attacks. American Economic Review 88, 587-597.
 Morris, S., Shin, H. S., 2001. Global games: theory and applications. Cowles Foundation Discussion Papers 1275R.
 Morris, S., Shin, H. S., 2002. The social value of public information. American Economic Review 92, 1521-1534.
 Townsend, R.M., 1983. Forecasting the forecasts of others. Journal of Political Economy 91, 546-588.
 Woodford, M., 1990. Learning to believe in sunspots. Econometrica 58, 277-307.