Representation theorems from decision theory yield label-free, exhaustive rationality checks and continuous penalties for LLM behavior.
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abstract
Ellsberg's famous paradox challenged Savage's subjective expected utility theory (EUT) -- which reduces uncertainty to risk -- by suggesting an aversion toward ambiguity. We provide a revealed preference test of the full set of axioms underpinning subjective EUT under uncertainty and compare it to an analogous test of objective EUT under risk. We find that individual choices are as consistent with utility maximization and expected utility maximization under uncertainty as they are under risk. Nevertheless, there is greater empirical scope for non-EUT models under uncertainty than under risk, and the absolute and relative consistency of EUT and non-EUT models vary considerably across subjects.
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2026 1verdicts
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Revealed Rationality: Label-Free Evaluation and Regularization from Representation Theorems
Representation theorems from decision theory yield label-free, exhaustive rationality checks and continuous penalties for LLM behavior.