# Identifying two piecewise linear additive value functions from anonymous preference information

arXiv: https://arxiv.org/abs/2602.20638 · HTML: https://mlsanity.com/paper/2602.20638/

## Key facts

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- First posted on arXiv 24 Feb 2026.

## Abstract (arXiv)

Eliciting a preference model involves asking a person, named decision-maker, a series of questions. We assume that these preferences can be represented by an additive value function. In this work, we query simultaneously two decision-makers in the aim to elicit their respective value functions. For each query we receive two answers, without noise, but without knowing which answer corresponds to which decision-maker.We propose an elicitation procedure that identifies the two preference models when the marginal value functions are piecewise linear with known breaking points.