The Decision-Conflict Logit

We study two random non-forced choice models that explain behavioural patterns suggesting that the no-choice outside option is often selected when people find it hard to decide between the market alternatives available to them, even when these are few and desirable. The decision-conflict logit extends the logit model with an outside option by assigning a menu-dependent value to that option. This value captures the degree of complexity/decision difficulty at the relevant menu and allows for the choice probability of the outside option to either increase or decrease when the menu is expanded, depending on how many as well as on how attractive options are added to it. The multicriteria logit is a special case of this model and introduces multiple utility functions that jointly predict behaviour in a multiplicative-logit way. Every multicriteria logit admits a tractable discrete-choice formulation.

[1]  Paulo Natenzon,et al.  Random Choice and Learning , 2019, Journal of Political Economy.

[2]  Timothy L. Mullett,et al.  Similarity and decision time in preferential choice , 2018, Quarterly journal of experimental psychology.

[3]  Drew Fudenberg,et al.  Stochastic Choice and Revealed Perturbed Utility , 2015 .

[4]  Guei-Hua Huang,et al.  Mobile shopping cart abandonment: The roles of conflicts, ambivalence, and hesitation , 2018 .

[5]  Michael Mandler,et al.  Incomplete preferences and rational intransitivity of choice , 2005, Games Econ. Behav..

[6]  Eldar Shafir,et al.  Reason-based choice , 1993, Cognition.

[7]  Gur Huberman,et al.  How Much Choice is Too Much?: Contributions to 401(k) Retirement Plans , 2003 .

[8]  K. May Intransitivity, Utility, and the Aggregation of Preference Patterns , 1954 .

[9]  I. Simonson,et al.  Choice Based on Reasons: The Case of Attraction and Compromise Effects , 1989 .

[11]  John E. Roemer,et al.  The Democratic Political Economy Of Progressive Income Taxation , 1999 .

[12]  Robin P. Cubitt,et al.  On preference imprecision , 2015, Journal of Risk and Uncertainty.

[13]  Kota Saito,et al.  The perception-adjusted Luce model , 2018, Math. Soc. Sci..

[14]  Jidong Zhou,et al.  Reference Dependence and Choice Overload , 2018 .

[15]  Asen S. Kochov,et al.  Subjective States Without the Completeness Axiom , 2020 .

[16]  Rosa L. Matzkin Constructive identification in some nonseparable discrete choice models , 2019, Journal of Econometrics.

[17]  Charles R. Johnson,et al.  Solution theory for complete bilinear systems of equations , 2009, Numer. Linear Algebra Appl..

[18]  Filip Matejka,et al.  Rational Inattention to Discrete Choices: A New Foundation for the Multinomial Logit Model , 2011 .

[19]  Leonardo Pejsachowicz,et al.  Choice deferral, indecisiveness and preference for flexibility , 2017, J. Econ. Theory.

[20]  Eric Danan,et al.  Are preferences complete? An experimental measurement of indecisiveness under risk , 2006 .

[21]  D. Fudenberg,et al.  Dynamic Logit with Choice Aversion , 2015 .

[22]  Paola Manzini,et al.  Stochastic Choice and Consideration Sets , 2012, SSRN Electronic Journal.

[23]  Yusufcan Masatlioglu,et al.  A Random Attention Model , 2017, Journal of Political Economy.

[24]  Efe A. Ok,et al.  Coalitional Expected Multi‐Utility Theory , 2019, Econometrica.

[25]  Fabio Maccheroni,et al.  Expected utility theory without the completeness axiom , 2004, J. Econ. Theory.

[26]  R. Aumann UTILITY THEORY WITHOUT THE COMPLETENESS AXIOM , 1962 .

[27]  J. Marschak Binary Choice Constraints on Random Utility Indicators , 1959 .

[28]  Patrick Suppes,et al.  Foundational aspects of theories of measurement , 1958, Journal of Symbolic Logic.

[29]  C. Anderson The Psychology of Doing Nothing: Forms of Decision Avoidance Result from Reason and Emotion , 2003, Psychological bulletin.

[30]  G. Gerasimou,et al.  Duopolistic competition with choice-overloaded consumers , 2018 .

[31]  Francesca Molinari,et al.  Discrete Choice under Risk with Limited Consideration , 2019, American Economic Review.

[32]  R. Luce,et al.  Individual Choice Behavior: A Theoretical Analysis. , 1960 .

[33]  M. Levandowsky,et al.  Distance between Sets , 1971, Nature.

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

[35]  Kfir Eliaz,et al.  Indifference or indecisiveness? Choice-theoretic foundations of incomplete preferences , 2006, Games Econ. Behav..

[36]  Mira Frick Monotone threshold representations , 2016 .

[37]  Manel Baucells,et al.  Multiperson utility , 2008, Games Econ. Behav..

[38]  Christopher J. Tyson,et al.  Inferring Cognitive Heterogeneity From Aggregate Choices , 2020, Econometrica.

[39]  John Rehbeck,et al.  Menu‐Dependent Stochastic Feasibility , 2016 .

[40]  Ozgur Evren,et al.  Choice Overload and Asymmetric Regret , 2015 .

[41]  Andrew Caplin,et al.  Rationally Inattentive Behavior: Characterizing and Generalizing Shannon Entropy , 2017, Journal of Political Economy.

[42]  Na Li,et al.  Solving Multilinear Systems via Tensor Inversion , 2013, SIAM J. Matrix Anal. Appl..

[43]  P. Jaccard THE DISTRIBUTION OF THE FLORA IN THE ALPINE ZONE.1 , 1912 .

[44]  Edi Karni,et al.  Subjective Expected Utility With Incomplete Preferences , 2013 .

[45]  Pietro Ortoleva,et al.  Stochastic Choice and Preferences for Randomization , 2015, Journal of Political Economy.

[46]  A. Tversky Features of Similarity , 1977 .

[47]  D. Redelmeier,et al.  Medical decision making in situations that offer multiple alternatives. , 1995, JAMA.

[48]  Jerry A. Hausman,et al.  Assessing the potential demand for electric cars , 1981 .

[49]  P. Todd,et al.  Can There Ever Be Too Many Options? A Meta-Analytic Review of Choice Overload , 2010 .

[50]  A. Tversky,et al.  Choice under Conflict: The Dynamics of Deferred Decision , 1992 .

[51]  Todd Sarver,et al.  ANTICIPATING REGRET : WHY FEWER OPTIONS MAY BE BETTER , 2008 .

[52]  A. Sela,et al.  Variety, Vice, and Virtue: How Assortment Size Influences Option Choice , 2008 .

[53]  Barton L. Lipman,et al.  REPRESENTING PREFERENCES WITH A UNIQUE SUBJECTIVE STATE SPACE , 2001 .

[54]  Miguel A. Costa-Gomes,et al.  Choice, deferral, and consistency , 2014, Quantitative Economics.

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

[56]  L. Shapley,et al.  Equilibrium points in games with vector payoffs , 1959 .

[57]  Charles R. Johnson,et al.  Solution theory for systems of bilinear equations , 2013, 1303.4988.

[58]  André de Palma,et al.  Discrete Choice Theory of Product Differentiation , 1995 .

[59]  Sean Horan,et al.  Random consideration and choice: A case study of "default" options , 2019, Math. Soc. Sci..

[60]  David M. Kreps A REPRESENTATION THEOREM FOR "PREFERENCE FOR FLEXIBILITY" , 1979 .

[61]  B. Buchberger Gröbner Bases and Applications: Introduction to Gröbner Bases , 1998 .

[62]  Jakub Steiner,et al.  Rational Inattention Dynamics: Inertia and Delay in Decision-Making , 2017 .

[63]  Victor H. Aguiar,et al.  Does Random Consideration Explain Behavior when Choice is Hard? Evidence from a Large-scale Experiment , 2018 .

[64]  U. Böckenholt,et al.  Choice overload: A conceptual review and meta-analysis , 2015 .

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

[66]  G. Gerasimou Indecisiveness, Undesirability and Overload Revealed Through Rational Choice Deferral , 2018 .

[67]  Sudeep Bhatia,et al.  The dynamics of deferred decision , 2016, Cognitive Psychology.

[68]  Charles R. Johnson,et al.  Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.

[69]  Emir Kamenica Contextual Inference in Markets: On the Informational Content of Product Lines , 2008 .

[70]  R. Dhar,et al.  The Effect of Forced Choice on Choice , 2003 .

[71]  Christopher P. Puto,et al.  Adding Asymmetrically Dominated Alternatives: Violations of Regularity & the Similarity Hypothesis. , 1981 .

[72]  Efe A. Ok,et al.  Incomplete preferences under uncertainty: Indecisiveness in beliefs versus tastes , 2012 .

[73]  R. Duncan Luce,et al.  Individual Choice Behavior: A Theoretical Analysis , 1979 .

[74]  Moshe Ben-Akiva,et al.  STRUCTURE OF PASSENGER TRAVEL DEMAND MODELS , 1974 .

[75]  G. Gerasimou Asymmetric dominance, deferral, and status quo bias in a behavioral model of choice , 2016 .

[76]  Jason Abaluck,et al.  What Do Consumers Consider Before They Choose? Identification from Asymmetric Demand Responses , 2017, The Quarterly Journal of Economics.

[77]  Miguel A. Ballester,et al.  Separating Predicted Randomness from Residual Behavior , 2020 .

[78]  Florian Heiss,et al.  Discrete Choice Methods with Simulation , 2016 .

[79]  Efe A. Ok,et al.  On the multi-utility representation of preference relations ✩ , 2011 .

[80]  Matthew Kovach,et al.  Satisficing with a Variable Threshold , 2019, Journal of Mathematical Economics.