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Large Language Models are overconfident and amplify human bias

Fengfei Sun, Ningke Li, Kailong Wang, Lorenz Goette

TL;DR

It is found that all five LLMs studied are overconfident: they overestimate the probability that their answer is correct between 20% and 60%.

Abstract

Large language models (LLMs) are revolutionizing every aspect of society. They are increasingly used in problem-solving tasks to substitute human assessment and reasoning. LLMs are trained on what humans write and are thus exposed to human bias. We evaluate whether LLMs inherit one of the most widespread human biases: overconfidence. We algorithmically construct reasoning problems with known ground truths. We prompt LLMs to answer these problems and assess the confidence in their answers, closely following similar protocols in human experiments. We find that all five LLMs we study are overconfident: they overestimate the probability that their answer is correct between 20% and 60%. Humans have accuracy similar to the more advanced LLMs, but far lower overconfidence. Although humans and LLMs are similarly biased in questions which they are certain they answered correctly, a key difference emerges between them: LLM bias increases sharply relative to humans if they become less sure that their answers are correct. We also show that LLM input has ambiguous effects on human decision making: LLM input leads to an increase in the accuracy, but it more than doubles the extent of overconfidence in the answers.

Large Language Models are overconfident and amplify human bias

TL;DR

It is found that all five LLMs studied are overconfident: they overestimate the probability that their answer is correct between 20% and 60%.

Abstract

Large language models (LLMs) are revolutionizing every aspect of society. They are increasingly used in problem-solving tasks to substitute human assessment and reasoning. LLMs are trained on what humans write and are thus exposed to human bias. We evaluate whether LLMs inherit one of the most widespread human biases: overconfidence. We algorithmically construct reasoning problems with known ground truths. We prompt LLMs to answer these problems and assess the confidence in their answers, closely following similar protocols in human experiments. We find that all five LLMs we study are overconfident: they overestimate the probability that their answer is correct between 20% and 60%. Humans have accuracy similar to the more advanced LLMs, but far lower overconfidence. Although humans and LLMs are similarly biased in questions which they are certain they answered correctly, a key difference emerges between them: LLM bias increases sharply relative to humans if they become less sure that their answers are correct. We also show that LLM input has ambiguous effects on human decision making: LLM input leads to an increase in the accuracy, but it more than doubles the extent of overconfidence in the answers.
Paper Structure (64 sections, 21 equations, 11 figures, 29 tables)

This paper contains 64 sections, 21 equations, 11 figures, 29 tables.

Figures (11)

  • Figure 1: LLM Confidence and Accuracy
  • Figure 2: Treatment Effects on Changes in Accuracy and Bias
  • Figure S1: Average Accuracy Rate and Response Time across Experimental Conditions
  • Figure S2: Confidence Distribution (Baseline and Intervention Stage)
  • Figure S3: LLM Derived Confidence and Accuracy
  • ...and 6 more figures

Theorems & Definitions (5)

  • Definition 1
  • Definition 2
  • Definition 3
  • Definition 4
  • Definition 5