Display title | Balinski–Young theorem |
Default sort key | Balinski–Young theorem |
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Page creator | Dr. Edmonds (talk | contribs) |
Date of page creation | 00:18, 26 January 2020 |
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Article description: (description ) This attribute controls the content of the description and og:description elements. | In 1983, two mathematicians, Michel Balinski and Peyton Young, proved that any method of apportionment will result in paradoxes whenever there are three or more parties (or states, regions, etc.).[1][2] The theorem shows that any possible method used to allocate the remaining fraction will necessarily fail to always follow quota. More precisely, their theorem states that there is no apportionment system that has the following 3 properties [3] (as the example we take the division of seats between parties in a system of proportional representation): |