Learning from neighbours

When payoffs from different actions are unknown, agents use their own past experience as well as the experience of their neighbours to guide their decision making. In this paper, we develop a general framework to study the relationship between the structure of these neighbourhoods and the process of social learning. We show that, in a connected society, local learning ensures that all agents obtain the same payoffs in the long run. Thus, if actions have different payoffs, then all agents choose the same action, and social conformism obtains. We develop conditions on the distribution of prior beliefs, the structure of neighbourhoods and the informativeness of actions under which this action is optimal. In particular, we identify a property of neighbourhood structures—local independence—which greatly facilitates social learning. Simulations of the model generate spatial and temporal patterns of adoption that are consistent with empirical work.

[1]  B. Ryan The diffusion of hybrid seed corn in two Iowa communities , 1943 .

[2]  Z. Griliches HYBRID CORN: AN EXPLORATION IN THE ECONOMIC OF TECHNOLOGICAL CHANGE , 1957 .

[3]  J. Coleman,et al.  Medical Innovation: A Diffusion Study. , 1967 .

[4]  Torsten Hägerstrand,et al.  Innovation Diffusion As a Spatial Process , 1967 .

[5]  M. Degroot Optimal Statistical Decisions , 1970 .

[6]  P. Billingsley,et al.  Probability and Measure , 1980 .

[7]  B. Allen A Stochastic Interactive Model for the Diffusion of Information , 1982 .

[8]  Beth E Allen Some Stochastic Processes of Interdependent Demand and Technological Diffusion of an Innovation Exhibiting Externalities Among Adopters , 1982 .

[9]  Donald A. Berry,et al.  Bandit Problems: Sequential Allocation of Experiments. , 1986 .

[10]  David Zilberman,et al.  Adoption of Agricultural Innovations in Developing Countries: A Survey , 1985, Economic Development and Cultural Change.

[11]  Patrick Billingsley,et al.  Probability and Measure. , 1986 .

[12]  N. Kiefer,et al.  Controlling a Stochastic Process with Unknown Parameters , 1988 .

[13]  W. Arthur,et al.  INCREASING RETURNS AND LOCK-IN BY HISTORICAL EVENTS , 1989 .

[14]  Susan Cotts Watkins From Provinces into Nations: Demographic Integration in Western Europe, 1870-1960 , 1990 .

[15]  B. Jullien,et al.  OPTIMAL LEARNING BY EXPERIMENTATION , 1991 .

[16]  A. Banerjee,et al.  A Simple Model of Herd Behavior , 1992 .

[17]  S. Bikhchandani,et al.  You have printed the following article : A Theory of Fads , Fashion , Custom , and Cultural Change as Informational Cascades , 2007 .

[18]  David Easley,et al.  Rational Expectations and Rational Learning , 1993 .

[19]  Glenn Ellison,et al.  Rules of Thumb for Social Learning , 1993, Journal of Political Economy.

[20]  B. Jullien,et al.  Dynamic duopoly with learning through market experimentation , 1993 .

[21]  Sanjeev Goyal,et al.  The Birth of a New Market , 1994 .

[22]  Glenn Ellison,et al.  Word-of-Mouth Communication and Social Learning , 1995 .

[23]  Nicholas M. Kiefer,et al.  Local externalities and societal adoption of technologies , 1995 .

[24]  Sanjeev Goyal,et al.  A Theory of Learning with Heterogeneous Agents , 1995 .

[25]  Xavier Vives,et al.  Social learning and rational expectations , 1996 .