Collusion as public monitoring becomes noisy: Experimental evidence

This paper uses laboratory experiments to test the implications of the theory of repeated games on equilibrium payoffs and estimate strategies in an infinitely repeated prisoners' dilemma game with imperfect public monitoring. We find that subjects' payoffs (i) decrease as noise increases, and (ii) are lower than the theoretical maximum for low noise, but exceed it for high noise. Under the assumption that the subjects' strategy uses thresholds on the public signal for transition between cooperation and punishment states, we find that the best fitting strategy simply compares the most recent public signal against a single threshold.

[1]  Yuliy Sannikov,et al.  Games with Imperfectly Observable Actions in Continuous Time , 2007 .

[2]  M. Abramowitz,et al.  Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55) , 1965 .

[3]  R. Porter On the Incidence and Duration of Price Wars , 1985 .

[4]  Lung-fei Lee,et al.  Switching Regression Models with Imperfect Sample Separation Information-With an Application on Cartel Stability , 1984 .

[5]  Lung-fei Lee,et al.  Serial correlation in latent discrete variable models , 1985 .

[6]  Thomas A. Husted,et al.  An Experimental Test of Discount-Rate Effects on Collusive Behaviour in Duopoly Markets , 1993 .

[7]  Charles F. Mason,et al.  In Support of Trigger Strategies: Experimental Evidence from Two-Person Non-Cooperative Games , 2001 .

[8]  Christopher M. Snyder,et al.  Collusion with secret price cuts: an experimental investigation , 2002 .

[9]  J. Kagel,et al.  Handbook of Experimental Economics , 1997 .

[10]  Glenn Ellison,et al.  Theories of Cartel Stability and the Joint Executive Committee , 1994 .

[11]  Guillaume Fréchette,et al.  The Evolution of Cooperation in Infinitely Repeated Games: Experimental Evidence , 2011 .

[12]  A. Rapoport,et al.  Prisoner's Dilemma: A Study in Conflict and Co-operation , 1970 .

[13]  R. Porter,et al.  NONCOOPERATIVE COLLUSION UNDER IMPERFECT PRICE INFORMATION , 1984 .

[14]  R. Porter Optimal cartel trigger price strategies , 1983 .

[15]  David Pearce,et al.  Information and timing in repeated partnerships , 1991 .

[16]  Milton Abramowitz,et al.  Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .

[17]  David M. Drukker,et al.  On boundary-value likelihood-ratio tests , 2001 .

[18]  A. Roth,et al.  The Speed of Learning in Noisy Games: Partial Reinforcement and the Sustainability of Cooperation , 2006 .

[19]  Gary Chamberlain,et al.  Analysis of Covariance with Qualitative Data , 1979 .

[20]  John H. Miller,et al.  The Ghost in the Machine: Inferring Machine-Based Strategies from Observed Behavior , 2004 .

[21]  John C. Ham,et al.  Selection Bias, Demographic Effects and Ability Effects in Common Value Auction Experiments , 2005 .

[22]  M. Abramowitz,et al.  Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables. U.S. Department of Commerce, National Bureau of Standards , 1965 .

[23]  John Duffy,et al.  Cooperative behavior and the frequency of social interaction , 2009, Games Econ. Behav..

[24]  Alvin E. Roth,et al.  Equilibrium behavior and repeated play of the prisoner's dilemma , 1978 .

[25]  E. Stacchetti,et al.  Towards a Theory of Discounted Repeated Games with Imperfect Monitoring , 1990 .

[26]  Michihiro Kandori,et al.  The Use of Information in Repeated Games with Imperfect Monitoring , 1992 .

[27]  Michihiro Kandori Social Norms and Community Enforcement , 1992 .

[28]  P. Nelson,et al.  The role of monitoring in duopoly market outcomes , 1997 .

[29]  Timothy N. Cason,et al.  A laboratory study of voluntary public goods provision with imperfect monitoring and communication , 1999 .

[30]  BÓ Pedrodal,et al.  Cooperation under the Shadow of the Future : Experimental Evidence from Infinitely Repeated Games , 2005 .

[31]  Wagner A. Kamakura,et al.  Book Review: Structural Analysis of Discrete Data with Econometric Applications , 1982 .

[32]  Jeffrey M. Woodbridge Econometric Analysis of Cross Section and Panel Data , 2002 .

[33]  W. J. Langford Statistical Methods , 1959, Nature.

[34]  Jim Engle-Warnick,et al.  Inferring repeated-game strategies from actions: evidence from trust game experiments , 2006 .