Rational Inattention Dynamics: Inertia and Delay in Decision-Making

We solve a general class of dynamic rational-inattention problems in which an agent repeatedly acquires costly information about an evolving state and selects actions. The solution resembles the choice rule in a dynamic logit model, but it is biased towards an optimal default rule that does not depend on the realized state. We apply the general solution to the study of (i) the sunk-cost fallacy; (ii) inertia in actions leading to lagged adjustments to shocks; and (iii) the tradeoff between accuracy and delay in decision-making.

[1]  Andrew Caplin,et al.  Behavioral Implications of Rational Inattention with Shannon Entropy , 2013 .

[2]  G. Moscarini Limited information capacity as a source of inertia , 2004 .

[3]  Yulei Luo Consumption Dynamics Under Information Processing Constraints , 2006 .

[4]  Antonella Tutino,et al.  Rationally inattentive consumption choices , 2013 .

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

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

[7]  M. Woodford Stochastic Choice: An Optimizing Neuroeconomic Model , 2014 .

[8]  P. Jehiel,et al.  Auctions and Information acquisition: Sealed-bid or Dynamic Formats? , 2007 .

[9]  D. Ravid Bargaining with Rational Inattention , 2019 .

[10]  Andrea Wilson Bounded Memory and Biases in Information Processing , 2014 .

[11]  Sébastien Turban,et al.  Inattentive Valuation and Belief Polarization∗ , 2014 .

[12]  Marc Rysman,et al.  Dynamics of Consumer Demand for New Durable Goods , 2007 .

[13]  A. Hobson A new theorem of information theory , 1969 .

[14]  Jonathan Evans Heuristic and analytic processes in reasoning , 1984 .

[15]  M. Woodford Information-Constrained State-Dependent Pricing , 2008 .

[16]  C. Sims Implications of rational inattention , 2003 .

[17]  M. A. Girshick,et al.  Bayes and minimax solutions of sequential decision problems , 1949 .

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

[19]  F. Mat Rationally Inattentive Seller: Sales and Discrete Pricing , 2009 .

[20]  Lars-Göran Mattsson,et al.  Probabilistic choice and procedurally bounded rationality , 2002, Games Econ. Behav..

[21]  R. Myerson Refinements of the Nash equilibrium concept , 1978 .

[22]  Qingmin Liu Information Acquisition and Reputation Dynamics , 2011 .

[23]  Bartosz Mackowiak,et al.  The Rational Inattention Filter , 2017, SSRN Electronic Journal.

[24]  R. Selten Reexamination of the perfectness concept for equilibrium points in extensive games , 1975, Classics in Game Theory.

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

[26]  Dale O. Stahl Entropy control costs and entropic equilibria , 1990 .

[27]  J. Kennan,et al.  The Effect of Expected Income on Individual Migration Decisions , 2003 .

[28]  Pasquale Schiraldi,et al.  Automobile Replacement: A Dynamic Structural Approach , 2010 .

[29]  E. Damme Refinements of the Nash Equilibrium Concept , 1983 .

[30]  Bartosz Mackowiak,et al.  Business Cycle Dynamics Under Rational Inattention , 2011, SSRN Electronic Journal.

[31]  John Rust Optimal Replacement of GMC Bus Engines: An Empirical Model of Harold Zurcher , 1987 .

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

[33]  Drew Fudenberg,et al.  Stochastic Choice and Optimal Sequential Sampling , 2015, 1505.03342.

[34]  M. Burda,et al.  Optimal Sticky Prices under Rational Inattention ∗ , 2008 .

[35]  Jeffrey C. Ely,et al.  Mnemonomics: The Sunk Cost Fallacy as a Memory Kludge , 2011 .

[36]  Lones Smith,et al.  The Optimal Level of Experimentation , 2000 .