On Swap Convexity of Voting Rules

Authors: Svetlana Obraztsova, Edith Elkind, Piotr Faliszewski1910-1917

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Reproducibility Variable Result LLM Response
Research Type Theoretical In this paper, we (1) propose several families of voting rules that are convex in the sense of Obraztsova et al.; (2) put forward a weaker notion of convexity that is satisfied by most common voting rules; (3) prove impossibility results for a variant of this definition that considers all, rather than some shortest paths.
Researcher Affiliation Academia Svetlana Obraztsova Nanyang Technological University Singapore svetlana.obraztsova@gmail.com Edith Elkind University of Oxford Oxford, UK elkind@cs.ox.ac.uk Piotr Faliszewski AGH University of Science and Technology Krakow, Poland faliszew@agh.edu.pl
Pseudocode No The paper provides mathematical definitions, theorems, and proofs, but does not include any pseudocode or algorithm blocks.
Open Source Code No The paper is theoretical and does not describe a software-based methodology, thus no open-source code is provided or mentioned.
Open Datasets No The paper is purely theoretical and does not utilize datasets for empirical evaluation.
Dataset Splits No The paper is purely theoretical and does not involve empirical validation with data splits.
Hardware Specification No The paper is theoretical and does not report on computational experiments, hence no hardware specifications are mentioned.
Software Dependencies No The paper is theoretical and does not mention any specific software dependencies or versions.
Experiment Setup No The paper is theoretical and does not describe any experimental setups or hyperparameter configurations.