Gordon Hannington Luce

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The Perception-Adjusted Luce Model

We develop an axiomatic model that builds on Luce’s (1959) model to incorporate a role for perception. We identify agents’ “perception priorities” from their violations of Luce’s axiom of independence from irrelevant alternatives. Using such perception priorities, we adjust choice probabilities to account for the effects of perception. Our axiomatization requires that the agents’ adjusted rando...

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Learning Mixtures of Plackett-Luce Models

In this paper we address the identifiability and efficient learning problem of finite mixtures of Plackett-Luce models for rank data. We prove that for any k ≥ 2, the mixture of k PlackettLuce models for no more than 2k−1 alternatives is non-identifiable and this bound is tight for k = 2. For generic identifiability, we prove that the mixture of k Plackett-Luce models over m alternatives is gen...

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ژورنال

عنوان ژورنال: Bulletin of the School of Oriental and African Studies

سال: 1980

ISSN: 0041-977X,1474-0699

DOI: 10.1017/s0041977x00137498