Tragni's method: Difference between revisions
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Aldo Tragni (talk | contribs) (Added example) |
Aldo Tragni (talk | contribs) (Added variant Extended Tragni's method (E-TM)) |
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Given the following vote: A[worst] B[1] C[2] D[3] E[4] F[5] G[best] the respective complete P Table is obtained: |
Given the following vote: A[worst] B[1] C[2] D[3] E[4] F[5] G[best] the respective complete P Table is obtained: |
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{| class="wikitable" |
{| class="wikitable" style="text-align:center;" |
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! |
! |
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* eliminate all other candidates, normalizing the votes with Min-Max Normalization. |
* eliminate all other candidates, normalizing the votes with Min-Max Normalization. |
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* of the two remaining candidates, the one who wins in the P head-to-head wins the election. |
* of the two remaining candidates, the one who wins in the P head-to-head wins the election. |
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===Extended Tragni's method (E-TM)=== |
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It's Tragni's method in which [best] and [worst] are divided into 3 semi-cardinal symbols and MAX = 3. The range options are: |
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[ 1w | 2w | 3w ] | 1 | 2 | 3 | [ 1b | 2b | 3b ] |
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The #w values will always be worst than the others. The #b values will always be best than the others. If two #w or #b values are to be considered, then they will be treated as cardinal values to make the proportion. |
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It offers a better representation of interests than Tragni's method, but it's more complex to understand how symbols work. |
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Example, given the following vote A[1w] B[2w] C[3w] D[1] E[2] F[3] G[1b] H[2b] I[3b], then this is the respective complete P Table: |
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{| class="wikitable" style="text-align:center;" |
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|- |
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! |
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! A |
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! B |
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! C |
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! D |
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! E |
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! F |
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! G |
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! H |
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! I |
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|- |
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| A |
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| |
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| 1/2 |
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| 1/3 |
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| 1/3 |
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| 1/3 |
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| 1/3 |
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| 1/3 |
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| 1/3 |
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| 1/3 |
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|- |
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| B |
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| 2 |
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| |
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| 2/3 |
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| 1/3 |
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| 1/3 |
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| 1/3 |
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| 1/3 |
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| 1/3 |
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| 1/3 |
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|- |
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| C |
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| 3 |
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| 3/2 |
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| |
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| 1/3 |
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| 1/3 |
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| 1/3 |
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| 1/3 |
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| 1/3 |
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| 1/3 |
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|- |
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| D |
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| 3 |
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| 3 |
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| 3 |
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| |
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| 1/2 |
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| 1/3 |
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| 1/3 |
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| 1/3 |
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| 1/3 |
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|- |
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| E |
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| 3 |
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| 3 |
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| 3 |
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| 2 |
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| |
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| 2/3 |
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| 1/3 |
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| 1/3 |
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| 1/3 |
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|- |
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| F |
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| 3 |
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| 3 |
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| 3 |
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| 3 |
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| 3/2 |
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| |
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| 1/3 |
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| 1/3 |
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| 1/3 |
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|- |
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| G |
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| 3 |
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| 3 |
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| 3 |
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| 3 |
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| 3 |
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| 3 |
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| |
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| 1/2 |
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| 1/3 |
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|- |
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| H |
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| 3 |
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| 3 |
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| 3 |
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| 3 |
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| 3 |
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| 3 |
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| 2 |
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| |
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| 2/3 |
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|- |
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| I |
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| 3 |
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| 3 |
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| 3 |
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| 3 |
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| 3 |
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| 3 |
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| 3 |
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| 3/2 |
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| |
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|} |
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==Systems Comparison== |
==Systems Comparison== |
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