Explaining Preferences by Multiple Patterns in Voters’ Behavior

Authors: Sonja Kraiczy, Edith Elkind

IJCAI 2022 | Conference PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Theoretical In this work, we study the complexity of deciding whether voters preferences can be explained in this manner. For k = 2, we use the technique developed by Yang [2020] in the context of single-peaked preferences to obtain a polynomial-time algorithm for several domains: value-restricted preferences, group-separable preferences, and a natural subdomain of group-separable preferences, namely, caterpillar group-separable preferences. For k 3, the problem is known to be hard for single-peaked preferences; we show that this is also the case for value-restricted and group-separable preferences.
Researcher Affiliation Academia Sonja Kraiczy and Edith Elkind Department of Computer Science, University of Oxford Sonja.Kraiczy@merton.ox.ac.uk, elkind@cs.ox.ac.uk
Pseudocode No The paper describes algorithmic steps in paragraph form, such as in Section 3 (Partitioning Voters into Two Groups) and Section 5 (Group-separability on a Caterpillar), but does not present them as structured pseudocode blocks or clearly labeled algorithm figures.
Open Source Code No The paper does not include any explicit statement about releasing source code or a link to a code repository for the methodology described.
Open Datasets No The paper is theoretical, focusing on computational complexity and mathematical characterizations of preference profiles. It does not use or refer to any empirical datasets.
Dataset Splits No The paper is theoretical and does not involve empirical experiments with data; therefore, it does not mention training, validation, or test dataset splits.
Hardware Specification No The paper is theoretical and does not describe any experimental setups or report on empirical results that would require specific hardware. Therefore, no hardware specifications are mentioned.
Software Dependencies No The paper is theoretical and focuses on algorithm design and complexity analysis. It does not describe any computational experiments that would require specific software dependencies with version numbers.
Experiment Setup No The paper is theoretical and does not involve empirical experiments. Therefore, it does not include details about an experimental setup, such as hyperparameters or system-level training settings.