Monroe's method: Difference between revisions
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(Fixing citation by actually referring to it in the prose, rather than saying "In [1]", which is a terrible way to cite a paper and kinda deserves to break.) |
(→Concept: academics seem to like to throw citations at each other rather than actually communicating. electowiki is a doomed waste of time if that's the only type of person we can attract here. wtf do I bother.) |
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==Concept== |
==Concept== |
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In the paper, Monroe first defined what he calls ''pure fully proportional representation'' or ''pure FPR''. Pure FPR assumes that for each voter <math>v_a</math> and candidate <math>x_i</math>, the amount of misrepresentation <math>v_a</math> incurs were <math>x_i</math> to represent him, is known and defined as <math>\mu_{ia}</math>. If these <math>\mu</math> values are known, then pure FPR consists of assigning a representative to each voter to minimize the total misrepresentation, and then electing these representatives. To quote: |
In the 1995 paper, Monroe first defined what he calls "''pure fully proportional representation''" or "''pure FPR''". Pure FPR assumes that for each voter <math>v_a</math> and candidate <math>x_i</math>, the amount of misrepresentation <math>v_a</math> incurs were <math>x_i</math> to represent him, is known and defined as <math>\mu_{ia}</math>. If these <math>\mu</math> values are known, then pure FPR consists of assigning a representative to each voter to minimize the total misrepresentation, and then electing these representatives. To quote: |
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<blockquote>Our objective in pure FPR is to find the set of <math>m</math> representatives, each associated with an equally sized constituency (of <math>\frac{n}{m}</math> voters), for which the total misrepresentation (summed across all voters), <math>\mu</math>, is minimized. In effect, we want voters to define for themselves the group membership or identities that they wish to have represented and to have maximum flexibility in doing so.</blockquote> |
<blockquote>Our objective in pure FPR is to find the set of <math>m</math> representatives, each associated with an equally sized constituency (of <math>\frac{n}{m}</math> voters), for which the total misrepresentation (summed across all voters), <math>\mu</math>, is minimized. In effect, we want voters to define for themselves the group membership or identities that they wish to have represented and to have maximum flexibility in doing so.</blockquote> |
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