Detecting Failures of Backward Induction: Monitoring Information Search in Sequential Bargaining

We ran three-round sequential bargaining experiments in which the perfect equilibrium offer was $1.25 and an equal split was $2.50. Subjects offered $2.11 to other subjects, $1.84 to "robot" players (who are known to play subgame perfectly), and $1.22 to robots after instruction in backward induction. Measures of information search showed that subjects did not look at the amounts being divided in different rounds in the correct order, and for the length of time, necessary for backward induction, unless they were specifically instructed. The results suggest that most of the departure from perfect equilibrium is due to limited computation and some is due to fairness.

[1]  Robert Dolejší The Second Study , 1939 .

[2]  Allen Newell,et al.  Human Problem Solving. , 1973 .

[3]  Timothy D. Wilson,et al.  Telling more than we can know: Verbal reports on mental processes. , 1977 .

[4]  V. Smith,et al.  Research in Experimental Economics , 1979 .

[5]  J. Edward Russo,et al.  A software system for the collection of retrospective protocols prompted by eye fixations , 1979 .

[6]  A. Tversky,et al.  Prospect Theory : An Analysis of Decision under Risk Author ( s ) : , 2007 .

[7]  A. Teger 2 – The Dollar Auction Game , 1980 .

[8]  T. Palfrey,et al.  Asset Valuation in an Experimental Market , 1982 .

[9]  A. Rubinstein Perfect Equilibrium in a Bargaining Model , 1982 .

[10]  Allen Newell,et al.  The psychology of human-computer interaction , 1983 .

[11]  A. Shaked,et al.  Testing non-cooperative bargaining theory: a preliminary study , 1985 .

[12]  A. Rubinstein,et al.  The Nash bargaining solution in economic modelling , 1985 .

[13]  Eric J. Johnson,et al.  Information displays and preference reversals , 1988 .

[14]  M. Chi,et al.  The Nature of Expertise , 1988 .

[15]  A. Shaked,et al.  A further test of non-cooperative bargaining theory: reply , 1988 .

[16]  Eric J. Johnson,et al.  Adaptive Strategy Selection in Decision Making. , 1988 .

[17]  Hugo Sonnenschein,et al.  A Further Test of Noncooperative Bargaining Theory: Comment , 1988 .

[18]  John R. Anderson,et al.  Learning to program recursive functions , 1988 .

[19]  Catherine C. Eckel,et al.  Strategic Voting in Agenda-Controlled Committees , 1988 .

[20]  L. Thompson,et al.  Social Utility and Decision Making in Interpersonal Contexts , 1989 .

[21]  James C. Cox,et al.  Laboratory experiments with a finite-horizon job-search model , 1989 .

[22]  Eric J. Johnson,et al.  Cognitive processes in preference reversals , 1989 .

[23]  Eric J. Johnson,et al.  Bias in utility assessments: further evidence and explanations , 1989 .

[24]  Charles A. Holt,et al.  Strategic Voting in Agenda-Controlled Committee Experiments , 1989 .

[25]  G. Harrison Theory and Misbehavior of First-Price Auctions , 1989 .

[26]  W. Güth,et al.  Ultimatum bargaining behavior : a survey and comparison of experimental results , 1990 .

[27]  A. Rubinstein,et al.  Bargaining and Markets , 1991 .

[28]  S. Zamir,et al.  Bargaining and Market Behavior in Jerusalem, Ljubljana, Pittsburgh, and Tokyo: An Experimental Study , 1991 .

[29]  Gary E. Bolton A Comparative Model of Bargaining: Theory and Evidence , 1991 .

[30]  R. McKelvey,et al.  An experimental study of the centipede game , 1992 .

[31]  Ken Binmore,et al.  Frontiers of game theory , 1993 .

[32]  M. Rabin Published by: American , 2022 .

[33]  R. Rob,et al.  Learning, Mutation, and Long Run Equilibria in Games , 1993 .

[34]  Eric J. Johnson,et al.  The adaptive decision maker , 1993 .

[35]  Colin Camerer,et al.  Cognition and framing in sequential bargaining for gains and losses , 1993 .

[36]  Hugo Sonnenschein,et al.  Understanding When Agents Are Fairmen or Gamesmen , 1994 .

[37]  David W Harless,et al.  The predictive utility of generalized expected utility theories , 1994 .

[38]  D. Stahl,et al.  On Players' Models of Other Players: Theory and Experimental Evidence , 1995 .

[39]  A. Roth,et al.  Learning in Extensive-Form Games: Experimental Data and Simple Dynamic Models in the Intermediate Term* , 1995 .

[40]  V. Smith,et al.  Futures Contracting and Dividend Uncertainty in Experimental Asset Markets , 1995 .

[41]  R. Thaler,et al.  Anomalies: Ultimatums, Dictators and Manners , 1995 .

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

[43]  Joyce E. Berg,et al.  Trust, Reciprocity, and Social History , 1995 .

[44]  R. McKelvey,et al.  Quantal Response Equilibria for Normal Form Games , 1995 .

[45]  M. El-Gamal,et al.  Are People Bayesian? Uncovering Behavioral Strategies , 1995 .

[46]  Gerald L. Lohse,et al.  Organizational Behavior and Human Decision Processes a Comparison of Two Process Tracing Methods for Choice Tasks , 2022 .

[47]  G. Harrison,et al.  Expectations and fairness in a simple bargaining experiment , 1996 .

[48]  Gérard P. Cachon,et al.  Loss-Avoidance and Forward Induction in Experimental Coordination Games , 1996 .

[49]  R. McKelvey,et al.  Quantal Response Equilibria for Extensive Form Games , 1998 .

[50]  Miguel A. Costa-Gomes,et al.  Cognition and Behavior in Normal-Form Games: An Experimental Study , 1998 .

[51]  A. Roth,et al.  An experimental study of sequential bargaining , 1998 .

[52]  E. Fehr A Theory of Fairness, Competition and Cooperation , 1998 .

[53]  Colin Camerer,et al.  Experience‐weighted Attraction Learning in Normal Form Games , 1999 .

[54]  J K Goeree,et al.  Stochastic game theory: for playing games, not just for doing theory. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[55]  P. Jehiel Predicting by Analogy and Limited Foresight in Games , 1999 .

[56]  Gary E. Bolton,et al.  ERC: A Theory of Equity, Reciprocity, and Competition , 2000 .

[57]  E. Fehr,et al.  Fairness and Retaliation: The Economics of Reciprocity , 2000, SSRN Electronic Journal.

[58]  Larry Samuelson,et al.  Introduction to the Evolution of Preferences , 2001, J. Econ. Theory.

[59]  Miguel A. Costa-Gomes,et al.  Ultimatum Bargaining Behavior in Israel, Japan, Slovenia, and the United States: A Social Utility Analysis , 2001, Games Econ. Behav..

[60]  Colin Camerer,et al.  In search of homo economicus: Experiments in 15 small-scale societies , 2001 .

[61]  R. Boyd,et al.  In Search of Homo Economicus: Behavioral Experiments in 15 Small- Scale Societies , 2001 .

[62]  Larry Samuelson,et al.  Analogies, Adaptation, and Anomalies , 2001, J. Econ. Theory.

[63]  Ken Binmore,et al.  A Backward Induction Experiment , 2002, J. Econ. Theory.

[64]  J. Carpenter Bargaining Outcomes as the Result of Coordinated Expectations , 2003 .

[65]  Timothy C. Salmon Evidence for Learning to Learn Behavior in Normal Form Games , 2004 .