Method of Equal Shares: Difference between revisions

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The '''Method of Equal Shares''' <ref name="rulex">In early papers the method has been also referred to as Rule X.</ref> (sometimes referred to as '''MES''') is a proportional method of counting ballots that applies to [[participatory budgeting]] and to [[Multi-member system|committee elections]]<ref>{{Cite journal|last1=Peters|first1=Dominik|last2=Skowron|first2=Piotr|title=Proportionality and the Limits of Welfarism|journal=Proceedings of the 21st ACM Conference on Economics and Computation|series=EC'20|year=2020|pages=793–794|doi=10.1145/3391403.3399465|arxiv=1911.11747|isbn=9781450379755|url=https://arxiv.org/abs/1911.11747}}</ref><ref>{{Cite journal|last1=Pierczyński|first1=Grzegorz|last2=Peters|first2=Dominik|last3=Skowron|first3=Piotr|title=Proportional Participatory Budgeting with Additive Utilities.|journal=Proceedings of the 2021 Conference on Neural Information Processing Systems|series=NeurIPS'21|year=2020|arxiv=2008.13276|url=https://arxiv.org/abs/2008.13276}}</ref>. It ~~can be used, when the voters vote via~~ [[~~approval~~ ballot|~~approval~~ ballots]], [[~~Ranked~~ ~~ballot|ranked~~ ~~ballots~~]] or ~~[[cardinal~~ ~~voting|~~cardinal ballots]].

The '''Method of Equal Shares''' <ref name="rulex">In early papers the method has been also referred to as Rule X.</ref> (sometimes referred to as '''MES''') is a proportional method of counting ballots that applies to [[participatory budgeting]] and to [[Multi-member system|committee elections]].<ref>{{Cite journal|last1=Peters|first1=Dominik|last2=Skowron|first2=Piotr|title=Proportionality and the Limits of Welfarism|journal=Proceedings of the 21st ACM Conference on Economics and Computation|series=EC'20|year=2020|pages=793–794|doi=10.1145/3391403.3399465|arxiv=1911.11747|isbn=9781450379755|url=https://arxiv.org/abs/1911.11747}}</ref><ref>{{Cite journal|last1=Pierczyński|first1=Grzegorz|last2=Peters|first2=Dominik|last3=Skowron|first3=Piotr|title=Proportional Participatory Budgeting with Additive Utilities.|journal=Proceedings of the 2021 Conference on Neural Information Processing Systems|series=NeurIPS'21|year=2020|arxiv=2008.13276|url=https://arxiv.org/abs/2008.13276}}</ref> MES uses [[Rated ballot|rated ballots]]; the [[Expanding Approvals Rule]] allows for ranked ballots to be used instead, though expanding approvals works better when using cardinal ballots.

== Motivation ==