Tragni's method: Difference between revisions

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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:
 
{| class="wikitable" style="text-align:center;"
|-
!
! A [worst]
! B [1]
! C [2]
! D [3]
! E [4]
! F [5]
! G [best]
|-
| A [worst]
| 1
| 1/5
| 1/5
Line 110:
| 1/5
|-
| B [1]
| 5
| 1
| 1/2
| 1/3
Line 119:
| 1/5
|-
| C [2]
| 5
| 2
| 1
| 2/3
| 2/4
Line 128:
| 1/5
|-
| D [3]
| 5
| 3
| 3/2
| 1
| 3/4
| 3/5
| 1/5
|-
| E [4]
| 5
| 4
| 4/2
| 4/3
| 1
| 4/5
| 1/5
|-
| F [5]
| 5
| 5
Line 152:
| 5/3
| 5/4
| 1
| 1/5
|-
| G [best]
| 5
| 5
Line 162:
| 5
| 5
| 1
|}
 
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* eliminate all other candidates, normalizing the votes with Min-Max Normalization.
* of the two remaining candidates, the one who wins in the P head-to-head wins the election.
 
===Extended Tragni's method (E-TM)===
 
It's Tragni's method in which [best] and [worst] are divided into 3 semi-cardinal symbols and MAX = 4. The range options are:
 
[ 1w | 2w | 3w ] | 1 | 2 | 3 | 4 | [ 1b | 2b | 3b ]
 
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.
 
It offers a better representation of interests than Tragni's method, but it's more complex to understand how symbols work.
 
E-TM meets all the criteria satisfied by Tragni's method, replacing [worst] and [best] with the #w and #b values respectively.
 
It resists even more to the min-maxing tactic, because candidates who in the Tragni's method would all be put equally [worst] or [best], in E-TM can receive more precise ratings through the #w and #b values.
 
==Systems Comparison==
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