Modelling Noise and Imprecision in Individual Decisions

When individuals take part in decision experiments, their answers are typically subject to some degree of noise / error / imprecision. There are different ways of modelling this stochastic element in the data, and the interpretation of the data can be altered radically, depending on the assumptions made about the stochastic specification. This paper presents the results of an experiment which gathered data of a kind that has until now been in short supply. These data strongly suggest that the 'usual' (Fechnerian) assumptions about errors are inappropriate for individual decision experiments. Moreover, they provide striking evidence that core preferences display systematic departures from transitivity which cannot be attributed to any 'error' story.

[1]  C. Manski Daniel McFadden and the Econometric Analysis of Discrete Choice , 2001 .

[2]  David E. Buschena,et al.  Generalized expected utility, heteroscedastic error, and path dependence in risky choice , 2008 .

[3]  A. Tversky,et al.  Judgment under Uncertainty: Heuristics and Biases , 1974, Science.

[4]  R. Sugden,et al.  Testing Different Stochastic Specificationsof Risky Choice , 1998 .

[5]  Graham Loomes,et al.  Imprecision as an Account of the Preference Reversal Phenomenon , 2007 .

[6]  Pavlo R. Blavatskyy,et al.  Stochastic expected utility theory , 2005 .

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

[8]  Robert Sugden,et al.  A Microeconometric Test of Alternative Stochastic Theories of Risky Choice , 2002 .

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

[10]  Frederick Mosteller,et al.  An Experimental Measurement of Utility , 1951, Journal of Political Economy.

[11]  R. Sugden,et al.  Violations of the independence axion in common ratio problems: An experimental test of some competing hypotheses , 1989 .

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

[13]  Christian Seidl,et al.  Preference Reversal , 2002 .

[14]  Colin Camerer An experimental test of several generalized utility theories , 1989 .

[15]  Robin P. Cubitt,et al.  Experimental Economics: Rethinking the Rules , 2009 .

[16]  Graham Loomes,et al.  Modelling the Stochastic Component of Behaviour in Experiments: Some Issues for the Interpretation of Data , 2005 .

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

[18]  N. Wilcox,et al.  Decisions, Error and Heterogeneity , 1997 .

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

[20]  Robert Sugden,et al.  OBSERVING VIOLATIONS OF TRANSITIVITY BY EXPERIMENTAL METHODS , 1991 .

[21]  Gustav Theodor Fechner,et al.  Elements of psychophysics , 1966 .