从匿名偏好中识别两人分段线性价值函数。
Identifying two piecewise linear additive value functions from anonymous preference information
- 同时询问两人，不标记答案来源
- 在已知拐点条件下，准确还原双人偏好模型
- 适用于隐私保护场景下的多主体偏好建模
偏好建模需要向决策者提问一系列问题。我们假设这些偏好可由可加价值函数表示。本文同时向两名决策者提问，每次得到两个答案但不知对应关系。在无噪声且边际价值函数为已知拐点的分段线性函数的前提下，提出一种推理方法，能够准确识别出两人的价值函数模型。
原文摘要 · Abstract (English)
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.
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