论文标题

有限最佳的随机实用程序模型的表示定理

A Representation Theorem for Finite Best-Worst Random Utility Models

论文作者

Colonius, Hans

论文摘要

本文研究了最佳选择的选择概率(从提供的套装中挑选最佳和最差的替代方案)。结果表明,最佳偏斜块 - 摩chak多项式的非负性是必需的,足以足以存在随机效用表示。该代表定理是通过扩展Falmagne(1978)采用的证明技术来获得最佳选择的相应结果(从提供的集合中选择最佳替代方案)获得的。

This paper investigates best-worst choice probabilities (picking the best and the worst alternative from an offered set). It is shown that non-negativity of best-worst Block-Marschak polynomials is necessary and sufficient for the existence of a random utility representation. The representation theorem is obtained by extending proof techniques employed by Falmagne (1978) for a corresponding result on best choices (picking the best alternative from an offered set).

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