← Search

Review of Economic Studies Vol. 88 No. 4 2021

Cognitive Imprecision and Small-Stakes Risk Aversion

Mel Win Khaw1; Ziang Li2; Michael Woodford3

1 Duke Institute for Brain Sciences, Duke University · 2 Department of Economics Princeton University · 3 Department of Economics, Columbia University ,

open access

Abstract

Observed choices between risky lotteries are difficult to reconcile with expected utility maximization, both because subjects appear to be too risk averse with regard to small gambles for this to be explained by diminishing marginal utility of wealth, as stressed by Rabin (2000), and because subjects’ responses involve a random element. We propose a unified explanation for both anomalies, similar to the explanation given for related phenomena in the case of perceptual judgments: they result from judgments based on imprecise (and noisy) mental representations of the decision situation. In this model, risk aversion results from a sort of perceptual bias—but one that represents an optimal decision rule, given the limitations of the mental representation of the situation. We propose a quantitative model of the noisy mental representation of simple lotteries, based on other evidence regarding numerical cognition, and test its ability to explain the choice frequencies that we observe in a laboratory experiment.

DOI
10.1093/restud/rdaa044
Volume
88
Issue
4
Pages
1979-2013
Language
en
Sources
bibtex:phds-export.bib openalex openalex crossref

Cite