Voting-Based Group Formation

Authors: Piotr Faliszewski, Arkadii Slinko, Nimrod Talmon

IJCAI 2016 | Conference PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Theoretical We study the computational complexity of this problem (and several of its variants) for Approval elections. Our main findings are as follows: 1. If either the number of agents or the number of potential group leaders is small, then the problem can be solved efficiently (formally speaking, the problem is in FPT for the parameterizations by the number of agents or the number of potential group leaders). 2. For the case of partitioning the agents into two groups, the problem is in P if either each agent approves at most two group leaders, or each agent approves almost all group leaders with the exception of one or two. 3. The problem becomes NP-hard as soon as each agent approves up to six group leaders (even for two groups).
Researcher Affiliation Academia Piotr Faliszewski AGH University Krakow, Poland faliszew@agh.edu.pl Arkadii Slinko University of Auckland Auckland, New Zealand a.slinko@auckland.ac.nz Nimrod Talmon Weizmann Institute Rehovot, Israel nimrodtalmon77@gmail.com
Pseudocode No The paper describes algorithms in prose and mathematical notation but does not include formal pseudocode or algorithm blocks.
Open Source Code No The paper does not provide any statement or link indicating the availability of open-source code for the described methodology.
Open Datasets No This paper is theoretical research and does not use or mention any datasets for training.
Dataset Splits No This paper is theoretical research and does not involve dataset splits for validation.
Hardware Specification No This paper is theoretical research and does not describe any specific hardware used for experiments.
Software Dependencies No The paper does not mention any specific software dependencies with version numbers.
Experiment Setup No This paper is theoretical research and does not describe an experimental setup or hyperparameters.