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Beyond the mean: how thinking about the distribution of public opinions reduces politicians’ perceptual errors

Published online by Cambridge University Press:  02 February 2026

Nicholas Dias*
Affiliation:
Department of Political Science, Aarhus University, Aarhus, Denmark
Jack Lucas
Affiliation:
Department of Political Science, University of Calgary, Calgary, AB, Canada
Lior Sheffer
Affiliation:
School of Political Science, Government, and International Affairs, Tel Aviv University, Tel Aviv, Israel
*
Corresponding author: Nicholas Dias; Email: niccdias@ps.au.dk
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Abstract

Elected politicians regularly over-estimate the conservatism of their constituents’ preferences. While these findings have concerning implications for democratic representation, the magnitude and sources of so-called “conservative over-estimation” are poorly understood. We show that a novel approach to measuring politicians’ perceptions—which asks politicians to draw the distribution of their constituents’ preferences, rather than provide a point estimate—clarifies the magnitude and causes of conservative over-estimation. While the vast majority of politicians exhibit a conservative bias, our “perceived-distribution” task cuts the size of this bias in half. Moreover, psychological projection counterbalances conservative over-estimation among left-wing politicians but reinforces it among right-wing politicians. Our results raise questions about existing accounts of elite misperceptions and help to identify the psychological causes of conservative over-estimation.

Information

Type
Original Article
Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited.
Copyright
© The Author(s), 2026. Published by Cambridge University Press on behalf of EPS Academic Ltd.
Figure 0

Figure 1. A filled-out example of the “perceived-distribution” task used in this study.

Figure 1

Figure 2. Descriptive overview of politicians’ perceptual errors (2020–2023 CMB surveys). Panel A: Distribution of perceptual-error scores from 1,865 local politicians. Positive values are conservative over-estimates, and negative values are conservative under-estimates. Panel B: Estimates of average perceptual error across distinct methods and years, with 95 percent confidence/credible intervals. Panel C: Perceptual error by politician’s ideological self-placement.

Figure 2

Figure 3. Average perceptual errors by question format and order (2024 CMB survey). Panel A: Average perceptual error for point-estimate question and perceived-distribution task. Panel B: Average perceptual errors by politician’s ideological self-placement. Panel C: Average perceptual error for point-estimate question when completed before versus after perceived-distribution task.

Figure 3

Figure 4. Projection effects and perceptual errors by token placement order. Panel A: Effect of politician’s own ideology on perceived average constituent ideology, shown for the point-estimate question (blue) and for each token placed (1–20; gray). Panel B: Average perceptual error by order of token placement (horizontal axis) and politician’s ideological self-placement. Panel C: Cumulative perceptual error by order of token placement (horizontal axis) and politician’s ideological self-placement.

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Dias et al. Dataset

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