Search, choice, and revealed preference

With complete information, choice of one option over another conveys preference. Yet when search is incomplete, this is not necessarily the case. It may instead reflect unawareness that a superior alternative was available. To separate these phenomena, we consider non-standard data on the evolution of provisional choices with contemplation time. We characterize precisely when the resulting data could have been generated by a general form of sequential search. We characterize also search that terminates based on a reservation utility stopping rule. We outline an experimental design that captures provisional choices in the pre-decision period.

[1]  P. Glimcher,et al.  The neural correlates of subjective value during intertemporal choice , 2007, Nature Neuroscience.

[2]  Colin F. Camerer,et al.  Studying learning in games using eye-tracking , 2009 .

[3]  Roger Ratcliff,et al.  A Theory of Memory Retrieval. , 1978 .

[4]  Philip L. Smith,et al.  Stochastic Dynamic Models of Response Time and Accuracy: A Foundational Primer. , 2000, Journal of mathematical psychology.

[5]  D. Raab DIVISION OF PSYCHOLOGY: STATISTICAL FACILITATION OF SIMPLE REACTION TIMES* , 1962 .

[6]  W. Teepe,et al.  Protocol Analysis , 2012 .

[7]  P. Samuelson A Note on the Pure Theory of Consumer's Behaviour , 1938 .

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

[9]  W. Hoeffding,et al.  Contributions to Probability and Statistics: Essays in Honor of Harold Hotelling. , 1962 .

[10]  Miguel A. Costa-Gomes,et al.  Cognition and Behavior in Two-Person Guessing Games: An Experimental Study , 2003 .

[11]  D. Raab Statistical facilitation of simple reaction times. , 1962, Transactions of the New York Academy of Sciences.

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

[13]  How consistent are your choice data , 2009 .

[14]  Erkut Y. Ozbay,et al.  Revealed Attention , 2009 .

[15]  R. Spiegler,et al.  Consideration Sets and Competitive Marketing , 2009 .

[16]  S. Link,et al.  A sequential theory of psychological discrimination , 1975 .

[17]  Douglas Gale,et al.  Substantive and Procedural Rationality in Decisions under Uncertainty , 2006 .

[18]  Antonio Rangel,et al.  NEUROECONOMIC MODELS OF ECONOMIC DECISION MAKING^ The Impact of Computation Time and Experience on Decision Values , 2008 .

[19]  Eric J. Johnson,et al.  Detecting Failures of Backward Induction: Monitoring Information Search in Sequential Bargaining , 2002, J. Econ. Theory.

[20]  A. Tversky,et al.  The framing of decisions and the psychology of choice. , 1981, Science.

[21]  A. Rangel,et al.  Biasing simple choices by manipulating relative visual attention , 2008, Judgment and Decision Making.

[22]  Amitava Chattopadhyay,et al.  Effects of Context and Part-Category Cues on Recall of Competing Brands , 1985 .

[23]  Yusufcan Masatlioglu,et al.  Rational choice with status quo bias , 2005, J. Econ. Theory.

[24]  Andrew Caplin Economic theory and Psychological Data: Bridging the Divide , 2011 .

[25]  J. McCall Economics of Information and Job Search , 1970 .

[26]  Michael J. Doane,et al.  Consumer Rationality and the Status Quo , 1991 .

[27]  Pietro Ortoleva,et al.  The price of flexibility: Towards a theory of Thinking Aversion , 2013, J. Econ. Theory.

[28]  Colin F. Camerer,et al.  Pinocchio's Pupil: Using Eyetracking and Pupil Dilation To Understand Truth-telling and Deception in Games , 2006 .

[29]  Christopher J. Tyson Cognitive constraints, contraction consistency, and the satisficing criterion , 2008, J. Econ. Theory.

[30]  Boyan Jovanovic Job Matching and the Theory of Turnover , 1979, Journal of Political Economy.

[31]  William Samuelson,et al.  Status quo bias in decision making , 1988 .

[32]  Samuel M. McClure,et al.  Separate Neural Systems Value Immediate and Delayed Monetary Rewards , 2004, Science.

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

[34]  J. E. Russo,et al.  An Eye-Fixation Analysis of Choice Processes for Consumer Nondurables , 1994 .

[35]  David I. Laibson,et al.  A Boundedly Rational Decision Algorithm , 2000 .

[36]  M. Rabin,et al.  A Model of Reference-Dependent Preferences , 2006 .

[37]  Manfred Kochen,et al.  On the economics of information , 1972, J. Am. Soc. Inf. Sci..

[38]  Dmitri Kuksov,et al.  When More Alternatives Lead to Less Choice , 2010, Mark. Sci..

[39]  Dorwin Cartwright,et al.  Decision-time in relation to the differentiation of the phenomenal field. , 1941 .

[40]  M. F. Luce,et al.  Constructive Consumer Choice Processes , 1998 .

[41]  Costly Contemplation ∗ , 2003 .

[42]  Yuval Salant,et al.  A model of choice from lists , 2006 .

[43]  Luc Wathieu,et al.  The Framing Effect of Price Format , 2007 .

[44]  Gerald L. Lohse,et al.  A Comparison of Two Process Tracing Methods for Choice Tasks , 1996 .

[45]  J. Hey,et al.  INVESTIGATING GENERALIZATIONS OF EXPECTED UTILITY THEORY USING EXPERIMENTAL DATA , 1994, Experiments in Economics.

[46]  D. McFadden Conditional logit analysis of qualitative choice behavior , 1972 .

[47]  A. Rubinstein Similarity and decision-making under risk (is there a utility theory resolution to the Allais paradox?) , 1988 .

[48]  R. Nagel Unraveling in Guessing Games: An Experimental Study , 1995 .

[49]  H. Simon,et al.  A Behavioral Model of Rational Choice , 1955 .

[50]  John W. Payne,et al.  The adaptive decision maker: Name index , 1993 .

[51]  Colin Camerer,et al.  Measuring Attention and Strategic Behavior in Games with Private Information , 2009 .

[52]  Andrew Caplin,et al.  Search and Satisficing , 2011 .

[53]  Jacob Marschak,et al.  Stochastic models of choice behavior , 2007 .

[54]  Andrew Caplin,et al.  The Joy of Giving or Assisted Living? Using Strategic Surveys to Separate Bequest and Precautionary Motives , 2007 .

[55]  Colin Camerer,et al.  Iterated Dominance and Iterated Best-Response in Experimental P-Beauty Contests , 1998 .

[56]  A. Tversky Elimination by aspects: A theory of choice. , 1972 .

[57]  Yusufcan Masatlioglu,et al.  Choice by iterative search , 2013 .

[58]  Elizabeth C. Hirschman,et al.  Judgment under Uncertainty: Heuristics and Biases , 1974, Science.

[59]  P. Zarembka Frontiers in econometrics , 1973 .

[60]  Colin Camerer,et al.  Pinocchio's Pupil: Using Eyetracking and Pupil Dilation to Understand Truth-Telling and Deception in Sender-Receiver Game , 2009 .

[61]  N. Wilcox Lottery choice: incentives, complexity and decision time , 1993 .

[62]  Colin Camerer,et al.  Neuroeconomics: decision making and the brain , 2008 .

[63]  Rationalizing Boundedly Rational Choice , 2005 .

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

[65]  Walter Bossert,et al.  Consistency, Choice, and Rationality , 2010 .

[66]  J. Townsend,et al.  Fundamental derivations from decision field theory , 1992 .

[67]  R. Duncan Luce,et al.  Response Times: Their Role in Inferring Elementary Mental Organization , 1986 .

[68]  H. D. Block,et al.  Random Orderings and Stochastic Theories of Responses (1960) , 1959 .

[69]  J. Tiemstra The Foundations of Positive and Normative Economics: A Handbook , 2010 .

[70]  P. Todd,et al.  Simple Heuristics That Make Us Smart , 1999 .

[71]  David I. Laibson,et al.  Costly Information Acquisition: Experimental Analysis of a Boundedly Rational Model , 2006 .

[72]  A. Rustichini Neuroeconomics: Formal models of decision making and cognitive neuroscience , 2008 .

[73]  Yuval Salant,et al.  c ○ 2008 The Review of Economic Studies Limited (A, f): Choice with Frames 1 , 2007 .

[74]  Paola Manzini,et al.  Sequentially Rationalizable Choice , 2007 .

[75]  A. Rubinstein Instinctive and Cognitive Reasoning: A Study of Response Times , 2006 .

[76]  Gerhard Herden,et al.  Consistency in ordinal data analysis I , 2002, Math. Soc. Sci..

[77]  A. Tversky,et al.  Loss Aversion in Riskless Choice: A Reference-Dependent Model , 1991 .

[78]  John Roberts,et al.  Development and Testing of a Model of Consideration Set Composition , 1991 .

[79]  Andrew Caplin,et al.  Dopamine, Reward Prediction Error, and Economics , 2008 .

[80]  Donald Laming,et al.  Information theory of choice-reaction times , 1968 .

[81]  Diederich,et al.  Dynamic Stochastic Models for Decision Making under Time Constraints , 1997, Journal of mathematical psychology.

[82]  D. Kahneman,et al.  Anomalies: The Endowment Effect, Loss Aversion, and Status Quo Bias , 1991 .

[83]  W. R. Buckland,et al.  Contributions to Probability and Statistics , 1960 .

[84]  Daniel Kahneman,et al.  Anomalies: The Endowment Effect, Loss Aversion, and Status Quo Bias , 1991 .

[85]  Donald E. Campbell,et al.  Realization of Choice Functions , 1978 .

[86]  Todd Sarver,et al.  A Unique Costly Contemplation Representation , 2010 .