Complexity of Deliberative Coalition Formation

Authors: Edith Elkind, Abheek Ghosh, Paul Goldberg4975-4982

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Reproducibility Variable Result LLM Response
Research Type Theoretical Our goal is to complement the analysis of Elkind et al. (2020), by exploring the complexity of the deliberation process in their model. We focus on two deliberation spaces: in the hypercube model, voters and proposals are vertices of the d-dimensional hypercube, with distances measured according to the Hamming distance, and in the Euclidean model voters and proposals are elements of the d-dimensional Euclidean space, with || ||2 being the underlying distance measure. We consider three types of questions: What is the computational complexity of identifying a proposal approved by as many voters as possible... How many transitions may be necessary... How many coalitions need to be involved...
Researcher Affiliation Academia Edith Elkind, Abheek Ghosh , Paul Goldberg Department of Computer Science, University of Oxford, UK {edith.elkind,abheek.ghosh,paul.goldberg}@cs.ox.ac.uk
Pseudocode No The paper focuses on theoretical analysis, proofs, and discussions of computational complexity; it does not include pseudocode or algorithm blocks.
Open Source Code No The paper provides a link to an extended version on arXiv, but it does not provide concrete access to source code for the methodology described.
Open Datasets No This is a theoretical paper focusing on complexity analysis and proofs. It does not use empirical data or datasets.
Dataset Splits No This is a theoretical paper and does not involve dataset splits for training, validation, or testing.
Hardware Specification No This is a theoretical paper and does not report on experiments run on specific hardware.
Software Dependencies No This is a theoretical paper; it does not list specific software dependencies with version numbers for reproducing experiments.
Experiment Setup No This is a theoretical paper and does not include details about an experimental setup, hyperparameters, or training configurations.