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Generating Voting Rules from Random Relations

Published: 08 May 2019 Publication History

Abstract

We consider a way of generating voting rules based on a random relation, the winners being alternatives that have the highest probability of being supported. We consider different notions of support, such as whether an alternative dominates the other alternatives, or whether an alternative is undominated, and we consider structural assumptions on the form of the random relation, such as being acyclic, asymmetric, connex or transitive. We give sufficient conditions on the supporting function for the associated voting rule to satisfy various properties such as Pareto and monotonicity. The random generation scheme involves a parameter p between zero and one. Further voting rules are obtained by tending p to zero, and by tending p to one, and these limiting rules satisfy a homogeneity property, and, in certain cases, Condorcet consistency. We define a language of supporting functions based on eight natural properties, and categorise the different rules that can be generated for the limiting p cases.

References

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Vincent Conitzer and Tuomas Sandholm. 2005. Common Voting Rules as Maximum Likelihood Estimators. In UAI '05, Proceedings of the 21st Conference in Uncertainty in Artificial Intelligence, Edinburgh, Scotland, July 26--29, 2005. AUAI Press, 145--152. https://dslpitt.org/uai/displayArticleDetails.jsp?mmnu=1&smnu=2&article_id=1213&proceeding_id=21
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Published In

cover image ACM Conferences
AAMAS '19: Proceedings of the 18th International Conference on Autonomous Agents and MultiAgent Systems
May 2019
2518 pages
ISBN:9781450363099

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International Foundation for Autonomous Agents and Multiagent Systems

Richland, SC

Publication History

Published: 08 May 2019

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Author Tags

  1. limiting probabilities
  2. random relations
  3. voting rules

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  • Research-article

Funding Sources

  • European Regional Development Fund
  • Science Foundation Ireland

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AAMAS '19
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AAMAS '19 Paper Acceptance Rate 193 of 793 submissions, 24%;
Overall Acceptance Rate 1,155 of 5,036 submissions, 23%

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