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arXiv · 2407.21164

Extending choice assessments to choice functions: An algorithm for computing the natural extension

Arne Decadt·Alexander Erreygers·Jasper De Bock
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Abstract

We study how to infer new choices from prior choices using the framework of choice functions, a unifying mathematical framework for decision-making based on sets of preference orders. In particular, we define the natural (most conservative) extension of a given choice assessment to a coherent choice function -- whenever possible -- and use this natural extension to make new choices. We provide a practical algorithm for computing this natural extension and various ways to improve scalability. Finally, we test these algorithms for different types of choice assessments.

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Arne Decadt, Alexander Erreygers, Jasper De Bock. 2024-07-30. Extending choice assessments to choice functions: An algorithm for computing the natural extension. https://arxiv.org/abs/2407.21164

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