Point-summing methods: Difference between revisions
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(Created page with "'''Point-summing methods''' refer to a class of methods that assign a certain number of points to each candidate, based on each ballot. Then, the candidate with the highest number of points is elected. For example: <math>\text{score[candidate]} := \sum_\text{ballots} \psi(\text{ballot})</math> The main point-summing methods are the weighted positional methods along with score voting (and some minor variants). Only point-summing metho...") |
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<math>\text{score[candidate]} := \sum_\text{ballots} \psi(\text{ballot})</math> |
<math>\text{score[candidate]} := \sum_\text{ballots} \psi(\text{ballot})</math> |
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The main point-summing |
The main point-summing method is [[score voting]] (with some minor variants). |
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In the class of [[Cardinal method|cardinal methods]], only point-summing methods can satisfy both [[Consistency criterion|consistency]] and [[Neutrality criterion|neutrality]]. |
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Latest revision as of 05:30, 24 February 2024
Point-summing methods refer to a class of methods that assign a certain number of points to each candidate, based on each ballot. Then, the candidate with the highest number of points is elected. For example:
![{\displaystyle {\text{score[candidate]}}:=\sum _{\text{ballots}}\psi ({\text{ballot}})}](https://wikimedia.org/api/rest_v1/media/math/render/svg/aab6ea145d5594059744b7a2db2d90da7dc8a048)
The main point-summing method is score voting (with some minor variants).
In the class of cardinal methods, only point-summing methods can satisfy both consistency and neutrality.