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On the dominant set selection problem and its application to value alignment

Serramia, Marc; López-Sánchez, Maite; Moretti, Stefano; Rodríguez-Aguilar, Juan Antonio (2021), On the dominant set selection problem and its application to value alignment, Autonomous Agents and Multi-Agent Systems, 35, 42. 10.1007/s10458-021-09519-5

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Type
Article accepté pour publication ou publié
Date
2021
Journal name
Autonomous Agents and Multi-Agent Systems
Volume
35
Number
42
Publisher
Springer
Publication identifier
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Author(s)
Serramia, Marc
López-Sánchez, Maite
Moretti, Stefano
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Rodríguez-Aguilar, Juan Antonio
Abstract (EN)
Decision makers can often be confronted with the need to select a subset of objects from a set of candidate objects by just counting on preferences regarding the objects' features. Here we formalise this problem as the dominant set selection problem. Solving this problem amounts to finding the preferences over all possible sets of objects. We accomplish so by: (i) grounding the preferences over features to preferences over the objects themselves; and (ii) lifting these preferences to preferences over all possible sets of objects. This is achieved by combining lex-cel-a method from the literature-with our novel anti-lex-cel method, which we formally (and thoroughly) study. Furthermore, we provide a binary integer program encoding to solve the problem. Finally, we illustrate our overall approach by applying it to the selection of value-aligned norm systems.
Subjects / Keywords
Qualitative decision making; Social choice; Value alignment; Norms