Groupthink and the Failure of Information Aggregation in Large Groups

We consider two Bayesian agents who learn from exogenously provided private signals, as well as the actions of the other. Our main finding is that increased interaction between the agents can lower the speed of learning: when both agents observe each other, learning is significantly slower than it is when one only observes the other. This slowdown is driven by a process in which a consensus on the wrong action causes the agents to discount new contrary evidence.

[1]  Lones Smith,et al.  Pathological Outcomes of Observational Learning , 2000 .

[2]  Douglas Gale,et al.  Bayesian learning in social networks , 2003, Games Econ. Behav..

[3]  Pooya Molavi,et al.  Foundations of Non-Bayesian Social Learning , 2016 .

[4]  Amir Dembo,et al.  Large Deviations Techniques and Applications , 1998 .

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

[6]  Gustavo Manso,et al.  Information Percolation , 2008, 0811.3024.

[7]  Satoru Takahashi,et al.  How Fast Do Equilibrium Payoff Sets Converge in Repeated Games? , 2016, J. Econ. Theory.

[8]  S. Goyal,et al.  Learning from neighbours , 1998 .

[9]  M. Rabin,et al.  Extensive Imitation is Irrational and Harmful , 2014 .

[10]  Rohit Parikh,et al.  Communication, consensus, and knowledge , 1990 .

[11]  R. Durrett Probability: Theory and Examples , 1993 .

[12]  Gustavo Manso,et al.  National Centre of Competence in Research Financial Valuation and Risk Management Working Paper No . 514 Information Percolation with Equilibrium Search Dynamics , 2009 .

[13]  Johannes Hörner,et al.  The wisdom of the minority , 2009, J. Econ. Theory.

[14]  James K. Sebenius,et al.  Don't Bet on it: Contingent Agreements with Asymmetric Information , 1983 .

[15]  E. Kalai,et al.  Rational Learning Leads to Nash Equilibrium , 1993 .

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

[17]  Pooya Molavi,et al.  Information Heterogeneity and the Speed of Learning in Social Networks , 2013 .

[18]  Elchanan Mossel,et al.  Strategic Learning and the Topology of Social Networks , 2012, ArXiv.

[19]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[20]  C. Chamley Rational Herds: Economic Models of Social Learning , 2003 .

[21]  Han Hong,et al.  Rates of information aggregation in common value auctions , 2004, J. Econ. Theory.

[22]  Lones Smith,et al.  Optimal Electoral Timing: Exercise Wisely and You May Live Longer , 2007 .

[23]  X. Vives How Fast do Rational Agents Learn , 1993 .

[24]  Gustavo Manso,et al.  Information Percolation in Large Markets , 2007 .

[25]  Timothy G. Conley,et al.  Learning About a New Technology: Pineapple in Ghana , 2010 .