Explaining Inconsistencies in Preferences Using Weighted Goals
📜 Abstract
We introduce a model for preferences that is based on weighted goals, motivated by applications to detecting and resolving inconsistencies in preference judgments. In this model, preferences are constructed from a linear order on a set of basic elements, such as items or alternatives, and a set of weighted goals. Preferences induced by a weighted-goal model can lead to inconsistent judgments across pairs of alternatives, and we present an approach to identify and explain such inconsistencies. We also study algorithms for identifying all inconsistent preference judgments and discuss the complexity of the problem, providing both positive and negative complexity results.
✨ Summary
This paper presents a model for understanding preferences based on weighted goals, aiming to detect and resolve inconsistencies in preference judgments. The authors explore how preferences, derived from weighted goals and a linear order of basic elements, can lead to inconsistent judgment pairs. They propose methods to identify and explain these inconsistencies, offering insight into the problem’s complexity.
A search for the impact of this paper revealed its relevance in the fields of algorithmic mechanism design and computational social choice, particularly in enhancing the interpretability of models and algorithms dealing with preferences. However, there is limited direct citation or application in other works, likely due to the paper’s specific focus and recent publication date. The concepts might still be growing in influence within niche academic circles dealing with decision-making and preference-related algorithms.