Method of Equal Shares: Difference between revisions
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{{wikipedia}}
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]].
== Motivation ==
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File:MethodOfEqualShares-Example1.png|none| <div style="min-height: 65px; background:#f8f9fa; border: 1px solid; border-color: #eaecf0;"> There are 9 projects. For example, the third group of 11 voters voted for D and G. The total budget of $1000 is divided equally among 100 voters. Each voter is given 10. Click on the arrow above the image in order to see the next steps of the method. </div>
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File:MethodOfEqualShares-Example2.png|none|<div style="min-height: 110px; background:#f8f9fa; border: 1px solid; border-color: #eaecf0;"> There are 8 available projects and 250 voters. For example, the first 65 voters assign value 30 to project B and value 10 to projects E and G. The total budget of $2500 is divided equally among 250 voters. Each voter is given $10. Click on the arrow above the image in order to see the next steps of the method. </div>
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