Public Disagreement

Members of di¤erent social groups often hold widely divergent public beliefs regarding the nature of the world in which they live. We develop a model that can accommodate such public disagreement, and use it to explore questions concerning the aggregation of distributed information and the consequences of social integration. The model involves heterogeneous priors, private information, and repeated communication until beliefs become public information. We show that when priors are correlated, all private information is eventually aggregated and public beliefs are identical to those arising under observable priors. When priors are independently distributed, however, some private information is never revealed and the expected value of public disagreement is greater when priors are unobservable than when they are observable. If the number of individuals is large, communication breaks down entirely in the sense that disagreement in public beliefs is approximately equal to disagreement in prior beliefs. Interpreting integration in terms of the observability of priors, we show how increases in social integration can give rise to less divergent public beliefs on average. We thank the Institute for Advanced Study for …nancial support and hospitality, and Danielle Allen, Roland Benabou, Sylvain Chassang, Glenn Loury, Eric Maskin, Debraj Ray, and seminar participants at IAS, ISI, NYU, Princeton, Rutgers and the University of Illinois at Urbana-Champaign for helpful comments. yDepartment of Economics, Barnard College, Columbia University and the Institute for Advanced Study (rs328@columbia.edu) zDepartment of Economics, MIT and the Institute for Advanced Study (myildiz@mit.edu)

[1]  M. Jackson,et al.  An Economic Model of Friendship: Homophily, Minorities and Segregation , 2007 .

[2]  P. DeMarzo,et al.  Persuasion Bias, Social Influence, and Uni-Dimensional Opinions , 2001 .

[3]  Navin Kartik,et al.  Opinions as Incentives , 2009, Journal of Political Economy.

[4]  Daron Acemoglu,et al.  Fragility of Asymptotic Agreement Under Bayesian Learning , 2008 .

[5]  J. Brigham,et al.  The Impact of Race, Racial Attitude, and Gender on Reactions to the Criminal Trial of O. J. Simpson1 , 1999 .

[6]  Jennifer Crocker,et al.  Belief in U.S. Government Conspiracies Against Blacks among Black and White College Students: Powerlessness or System Blame? , 1999 .

[7]  Rajiv Sethi,et al.  Statistical Discrimination with Peer Effects: Can Integration Eliminate Negative Stereotypes? , 2008 .

[8]  David M. Kreps,et al.  Speculative Investor Behavior in a Stock Market with Heterogeneous Expectations , 1978 .

[9]  Muhamet Yildiz Waiting to Persuade , 2002 .

[10]  J. Sobel,et al.  STRATEGIC INFORMATION TRANSMISSION , 1982 .

[11]  Catherine Hafer,et al.  Deliberation as Self-Discovery and Institutions for Political Speech , 2007 .

[12]  J. Tirole,et al.  Self-Confidence and Personal Motivation , 2002 .

[13]  J. Geanakoplos,et al.  We Can't Disagree Forever , 1982 .

[14]  Joseph E. Harrington,et al.  Economic Policy, Economic Performance, and Elections , 1993 .

[15]  R. Bénabou Groupthink: Collective Delusions in Organizations and Markets , 2009, SSRN Electronic Journal.

[16]  Muhamet Yildiz BARGAINING WITHOUT A COMMON PRIOR¿AN IMMEDIATE AGREEMENT THEOREM , 2003 .

[17]  James Andreoni,et al.  Diverging Opinions , 2007 .

[18]  Stephen Morris,et al.  TRADE WITH HETEROGENEOUS PRIOR BELIEFS AND ASYMMETRIC INFORMATION , 1994 .

[19]  Wei Xiong,et al.  Overconfidence and Speculative Bubbles , 2003, Journal of Political Economy.

[20]  Eric Van den Steen,et al.  Culture Clash: The Costs and Benefits of Homogeneity , 2009, Manag. Sci..

[21]  S. Morris Speculative Investor Behavior and Learning , 1996 .

[22]  Rajiv Sethi,et al.  Inequality and Segregation , 2004, Journal of Political Economy.

[23]  R. Aumann Agreeing to disagree. , 1976, Nature cell biology.

[24]  J. Weibull,et al.  Political polarization , 2007, Proceedings of the National Academy of Sciences.

[25]  Mark M. Westerfield,et al.  Disagreement and Learning in a Dynamic Contracting Model , 2006 .

[26]  Kfir Eliaz,et al.  A Mechanism-Design Approach to Speculative Trade , 2005 .

[27]  D. Freedman On the Asymptotic Behavior of Bayes' Estimates in the Discrete Case , 1963 .

[28]  E. Steen,et al.  Organizational Beliefs and Managerial Vision , 2005 .

[29]  Abhijit Banerjee,et al.  A Simple Model of Voice , 2001 .

[30]  Disagreement and Learning in a Dynamic Contracting Model , 2008 .

[31]  Joel L. Schrag,et al.  First Impressions Matter: A Model of Confirmatory Bias , 1999 .

[32]  Glenn C. Loury,et al.  A Dynamic Theory of Racial Income Differences , 1976 .

[33]  E. Steen,et al.  The Costs and Benefits of Homogeneity , with an Application to Culture Clash , 2007 .