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Learning dynamics with private and public signals

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Adam Copeland

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Abstract

This paper studies the evolution of firms' beliefs in a dynamic model of technology adoption. Firms play a simple variant of the classic two-armed bandit problem, where one arm represents a known, deterministic production technology and the other arm an unknown, stochastic technology. Firms learn about the unknown technology by observing both private and public signals. I find that because of the externality associated with the public signal, the evolution of beliefs under a market equilibrium can differ significantly from that under a planner. In particular, firms experiment earlier under the planner than they do under the market equilibrium and thus firms under the planner generate more information at the start of the model. This intertemporal effect brings about the unusual result that, on a per period basis, there exist cases where firms in a market equilibrium over-experiment relative to the planner in the latter periods of the model.

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Paper provided by Board of Governors of the Federal Reserve System (U.S.) in its series Finance and Economics Discussion Series with number 2004-67.

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Date of creation: 2004
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Handle: RePEc:fip:fedgfe:2004-67

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  1. Chamley, Christophe & Gale, Douglas, 1994. "Information Revelation and Strategic Delay in a Model of Investment," Econometrica, Econometric Society, vol. 62(5), pages 1065-85, September. [Downloadable!] (restricted)
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  2. Patrick Bolton & Christopher Harris, 1999. "Strategic Experimentation," Econometrica, Econometric Society, vol. 67(2), pages 349-374, March.
  3. Bikhchandani, Sushil & Hirshleifer, David & Welch, Ivo, 1992. "A Theory of Fads, Fashion, Custom, and Cultural Change in Informational Cascades," Journal of Political Economy, University of Chicago Press, vol. 100(5), pages 992-1026, October. [Downloadable!] (restricted)
  4. Jensen, Richard, 1983. "Innovation adoption and diffusion when there are competing innovations," Journal of Economic Theory, Elsevier, vol. 29(1), pages 161-171, February. [Downloadable!] (restricted)
  5. Rothschild, Michael, 1974. "A two-armed bandit theory of market pricing," Journal of Economic Theory, Elsevier, vol. 9(2), pages 185-202, October. [Downloadable!] (restricted)
  6. Jovanovic, Boyan & Rosenthal, Robert W., 1988. "Anonymous sequential games," Journal of Mathematical Economics, Elsevier, vol. 17(1), pages 77-87, February. [Downloadable!] (restricted)
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  7. Amil Dasgupta, 2002. "Coordination, Learning, and Delay," FMG Discussion Papers dp435, Financial Markets Group. [Downloadable!] (restricted)
  8. Rob, Rafael, 1991. "Learning and Capacity Expansion under Demand Uncertainty," Review of Economic Studies, Blackwell Publishing, vol. 58(4), pages 655-75, July. [Downloadable!] (restricted)
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