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A modified version of the Tennessee example which demonstrates an IRV tie

🔗 TNexampleTie     (tags: { theoretical , CondorcetVsIRV , featured , IRVtie })

Below is the ABIF from the "TNexampleTie" election (A modified version of the Tennessee example which demonstrates an IRV tie)

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Voting methods: FPTPapprovalIRVSTARPairwiseAll methods

Results

🔗https://abif.electorama.com/id/TNexampleTie

The Condorcet/Copeland results of TNexampleTie are below, and can be edited in the field above.

Method Winner
Condorcet/Copeland Nashville, TN, Memphis, TN
Election results summary showing voting method winners
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Condorcet/Copeland results

TNexampleTie Condorcet/Copeland results permalink:
🔗https://abif.electorama.com/id/TNexampleTie/pairwise#pairwise
📝
Note — Condorcet cycle or Copeland tie
Details

This election has no Condorcet winner. Nashville, TN and Memphis, TN are tied for the most pairwise victories (Copeland tie). Each of these candidates beats the same number of opponents in head-to-head comparisons, creating a cycle in the tournament. The Copeland/pairwise table below shows the detailed win-loss-tie records that result in this tie.

  • No Condorcet winner: Copeland tie betweenNashville, TN, Memphis, TN
  • Runner-up: Chattanooga, TN (beats all other candidates except the tied Condorcet winners)
  • Smallest margin: Nashville, TN over Chattanooga, TN (62-22; margin: 40)
  • Largest margin: Chattanooga, TN over Knoxville, TN (72-12; margin: 60)
  • Pairwise ties: 3
  • Total ballots: 84

Win-loss-tie (Condorcet/Copeland) table

TNexampleTie w-l-t table permalink:
🔗https://abif.electorama.com/id/TNexampleTie/pairwise#wlt
A modified version of the Tennessee example which demonstrates an IRV tie pairwise matchups
Nashville, TN
(2-0-2)
Nashville, TN
0 losses / 2 victories
Chattanooga, TN
(1-1-2)
Nashville, TN: 62(73.8%)
Chattanooga, TN: 22(26.2%)
(No preference: 0; 0.0%)
Chattanooga, TN
1 loss / 1 victory
Memphis, TN
(0-0-6)
Nashville, TN: 42(50.0%)
Memphis, TN: 42(50.0%)
(No preference: 0; 0.0%)
Chattanooga, TN: 42(50.0%)
Memphis, TN: 42(50.0%)
(No preference: 0; 0.0%)
Memphis, TN
0 losses / 0 victories
Knoxville, TN
(0-2-2)
Nashville, TN: 62(73.8%)
Knoxville, TN: 22(26.2%)
(No preference: 0; 0.0%)
Chattanooga, TN: 72(85.7%)
Knoxville, TN: 12(14.3%)
(No preference: 0; 0.0%)
Memphis, TN: 42(50.0%)
Knoxville, TN: 42(50.0%)
(No preference: 0; 0.0%)
"Victories" and "losses" sometimes aren't displayed in the expected location when there are ties and/or cycles in the results, but the numbers provided should be accurate.

Pairwise tournament (Copeland ordered)

TNexampleTie pairwise diagram permalink:
🔗https://abif.electorama.com/id/TNexampleTie/pairwise#dot

%3 Nash Nash 2-0-2 (2 wins, 0 losses, 2 ties) Chat Chat 1-1-2 Nash->Chat ← Nash: 62 Chat: 22 Memph Memph 0-0-6 Nash->Memph ← Nash: 42 Memph: 42 Knox Knox 0-2-2 Nash->Knox ← Nash: 62 Knox: 22 Chat->Memph ← Chat: 42 Memph: 42 Chat->Knox ← Chat: 72 Knox: 12 Memph->Nash ← Memph: 42 Nash: 42 Memph->Chat ← Memph: 42 Chat: 42 Memph->Knox ← Memph: 42 Knox: 42 Knox->Memph ← Knox: 42 Memph: 42

Voting methods: FPTPapprovalIRVSTARPairwiseAll methods

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