Misrepresentation in District Voting

Authors: Yoram Bachrach, Omer Lev, Yoad Lewenberg, Yair Zick

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

Reproducibility Variable Result LLM Response
Research Type Experimental Finally, we provide simulation results for several such probabilistic election models, showing the effects of the number of voters and candidates on the misrepresentation ratio. We now use our Algorithm Expected-MR to analyze the MR in several voting domains.
Researcher Affiliation Collaboration Yoram Bachrach Microsoft Research UK yobach@microsoft.com Omer Lev Univ. of Toronto Canada omerl@cs.toronto.edu Yoad Lewenberg Hebrew Univ. of Jerusalem Israel yoadlew@cs.huji.ac.il Yair Zick Carnegie Mellon Univ. USA yairzick@cs.cmu.edu
Pseudocode Yes Algorithm 1 Monte-Carlo MR Approximation
Open Source Code No The paper does not include an unambiguous statement about releasing code for the work described, nor does it provide a direct link to a source-code repository.
Open Datasets No The paper describes generating synthetic data using probabilistic models like the Mallows model and specific voter distribution rules for simulations, rather than using or providing access to a pre-existing publicly available dataset.
Dataset Splits No The paper describes simulation experiments but does not provide specific dataset split information (percentages, sample counts, citations to predefined splits, or detailed splitting methodology) for training, validation, or testing.
Hardware Specification No The paper does not provide specific hardware details (exact GPU/CPU models, processor types with speeds, memory amounts, or detailed computer specifications) used for running its experiments.
Software Dependencies No The paper does not provide specific ancillary software details (e.g., library or solver names with version numbers like Python 3.8, CPLEX 12.4) needed to replicate the experiment.
Experiment Setup Yes We fix C = {w, p}, and the number of districts to 11: 6 districts of type A and 5 of type B, modeling heterogeneous and homogenous districts respectively. In type A districts, every voter v votes randomly with Pr[v votes for w] = 1/2 + ", and Pr[v votes for p] = 1/2 - "; in type B districts, Pr[v votes for w] = ", Pr[v votes for p] = 1 - ", for " ", ". In our second experiment, we fix the number of districts to 15, and range the number of voters in every district from 100 to 5000. We examined MR of elections with m {3, 4, ..., 7} candidates. ... Under the Mallows model every voter compares every pair of candidates independently and ranks them correctly (according to ) with probability . For every district, was drawn uniformly at random and [0.01, 2, 1).