Iterative Delegations in Liquid Democracy with Restricted Preferences

Authors: Bruno Escoffier, Hugo Gilbert, Adèle Pass-Lanneau1926-1933

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Reproducibility Variable Result LLM Response
Research Type Theoretical In this paper, we investigate the stability of the delegation process in liquid democracy when voters have restricted types of preference on the agent representing them (e.g., single-peaked preferences). We show that various natural structures of preference guarantee the existence of an equilibrium and we obtain both tractability and hardness results for the problem of computing several equilibria with some desirable properties.
Researcher Affiliation Collaboration Bruno Escoffier Sorbonne Universit e, CNRS, LIP6 75005 Paris, France and Institut Universitaire de France bruno.escoffier@lip6.fr Hugo Gilbert Gran Sasso Science Institute L Aquila, 67100, Italy hugo.gilbert@gssi.it Ad ele Pass-Lanneau Sorbonne Universit e, CNRS, LIP6 75005 Paris, France and EDF R&D 91120 Palaiseau, France adele.pass-lanneau@lip6.fr
Pseudocode No The paper describes algorithmic procedures (e.g., 'We give an O(n2) procedure that builds an equilibrium for any DB profile'), but these descriptions are embedded in the text and not presented as clearly labeled, structured pseudocode or algorithm blocks.
Open Source Code No The paper does not contain any statement about releasing source code for the described methodology, nor does it provide a link to a code repository.
Open Datasets No The paper is theoretical and uses abstract examples for illustrative purposes (e.g., 'Example 1', 'Example 2') rather than empirical evaluation on publicly available datasets.
Dataset Splits No The paper focuses on theoretical analysis and does not involve empirical experiments with datasets; therefore, no information on training, validation, or test splits is provided.
Hardware Specification No The paper is theoretical and does not describe empirical experiments; thus, no hardware specifications for running experiments are mentioned.
Software Dependencies No The paper is theoretical and focuses on mathematical and algorithmic properties; it does not describe implementation details or require specific software dependencies with version numbers.
Experiment Setup No The paper is theoretical and does not include empirical experiments, thus no details regarding experimental setup, hyperparameters, or training configurations are provided.