Comparing Election Methods Where Each Voter Ranks Only Few Candidates

Authors: Matthias Bentert, Piotr Skowron2218-2225

AAAI 2020 | Conference PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Experimental We establish theoretical bounds on the approximation ratios and complement our theoretical analysis with computer simulations.
Researcher Affiliation Academia 1Algorithmics and Computational Complexity, Faculty IV, TU Berlin, Berlin, Germany matthias.bentert@tu-berlin.de 2Faculty of Mathematics, Informatics, and Mechanics, University of Warsaw, Warsaw, Poland p.skowron@mimuw.edu.pl
Pseudocode Yes Algorithm 1: Algorithm α-PSF-ALG for positional scoring functions. Algorithm 2: Randomized Algorithm for Minimax.
Open Source Code No The paper does not provide concrete access to source code for the methodology described.
Open Datasets No The paper generates data using models like 'Impartial Culture', 'One-dimensional Euclidean Model', and 'Mixture of Mallows Models', but does not provide access information for a fixed, publicly available dataset.
Dataset Splits No The paper describes generating preferences for simulations but does not specify traditional train/validation/test dataset splits.
Hardware Specification No The paper does not provide specific hardware details (e.g., GPU/CPU models, memory) used for running its experiments.
Software Dependencies No The paper does not provide specific ancillary software details with version numbers needed to replicate the experiment.
Experiment Setup Yes We set the number m of candidates to 50 and tested for ℓ {2, 5, 8} and n ranging from 10 to 1000 in steps of 25. For each combination of values of (ℓ, n) we ran 500 independent experiments, each time computing the ratio r(A, D) between the score of the candidate returned by algorithm A to the score of the optimal candidate.