Tragni's method: Difference between revisions
no edit summary
Aldo Tragni (talk | contribs) mNo edit summary |
Aldo Tragni (talk | contribs) No edit summary |
||
| (3 intermediate revisions by the same user not shown) | |||
Line 85:
Wins C, the candidate who has least 0 (defeats) on his row (or the one that has most 1).
===Example===
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
| 1/5
| 1/5
| 1/5
| 1/5
|-
| B [1]
| 5
| 1
| 1/2
| 1/3
| 1/4
| 1/5
| 1/5
|-
| C [2]
| 5
| 2
| 1
| 2/3
| 2/4
| 2/5
| 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
| 5/2
| 5/3
| 5/4
| 1
| 1/5
|-
| G [best]
| 5
| 5
| 5
| 5
| 5
| 5
| 1
|}
The propositions are all contained in [1/5, 5]. A [worst] always loses against everyone with 1/5, while G [best] always wins against everyone with 5. The voter will therefore be free to vote for his intermediate candidates without his vote changing the chances of victory of the [best] and [worst] candidates.
===Tie solutions===
Line 412 ⟶ 493:
* 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==
| |||