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

🔗 TNexampleTie (tags: { theoretical , CondorcetVsIRV )

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

Results

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

Below are various abiftool output blocks for the ABIF above.

Pairwise diagram — Winner: Nash, Memph
Win-loss-tie table — Winner: Nash, Memph
IRV output — Winners (tie): Knoxville, TN and Memphis, TN
STAR output — Winner: Nashville, TN

Pairwise diagram

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

Win-loss-tie table

TNexampleTie w-l-t table permalink:
🔗https://abif.electorama.com/id/TNexampleTie/wlt#wlt

Pairwise winner(s): Nash, Memph

Hypothetical example of selecting capitol of Tennessee, only this time representing a tie election rather than an outright win.

Nashville, TN ["Nash"]	(2-0-2)			Nash victories ↓	Nash is undefeated
Chattanooga, TN ["Chat"]	(1-1-2)		Chat victories ↓	Nash: 62 Chat: 22	← Chat losses
Memphis, TN ["Memph"]	(0-0-6)		Chat: 42 Memph: 42 ^†	Nash: 42 Memph: 42 ^†	Memph is undefeated
Knoxville, TN ["Knox"]	(0-2-2)	Memph: 42 Knox: 42	Chat: 72 Knox: 12	Nash: 62 Knox: 22	← Knox losses

^† "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.

IRV table

TNexampleTie IRV table permalink:
🔗https://abif.electorama.com/id/TNexampleTie/IRV#IRV

IRV Winners (tie): Knoxville, TN and Memphis, TN
Number of rounds: 3
Total ballots: 84
Majority of ballots: 43

Round 1	Round 2	Round 3
Overview: Starting ballots: 84 Exhausted ballots: 0 Counted ballots: 84	Overview: Starting ballots: 84 Exhausted ballots: 0 Counted ballots: 84	Overview: Starting ballots: 84 Exhausted ballots: 0 Counted ballots: 84 TIE(†): Memph, Knox
Memph: 42	Memph: 42	Memph: 42
Nash: 20	Nash: 20 (eliminated)	~~Nash~~
Chat: 10	~~Chat~~	~~Chat~~
Knox: 12	Knox: 22	Knox: 42

† - When a tie occurs, per the laws in the City and County of San Francisco and the laws in the state of Maine, the losing candidate for the round is randomly eliminated.

STAR results

TNexampleTie STAR results permalink:
🔗https://abif.electorama.com/id/TNexampleTie/STAR#STAR

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(one star above is approximately 10 stars allocated by voters)

Total voters: 84
Total stars allocated: 504
First round:
- ★#1: Nashville, TN received 166 stars from 84 voters
- ★#2: Chattanooga, TN received 136 stars from 84 voters
- ★#3: Memphis, TN received 126 stars from 42 voters
- ★#4: Knoxville, TN received 76 stars from 42 voters
Finalists:
- ★Nashville, TN preferred by 62 of 84 voters
- ★Chattanooga, TN preferred by 22 of 84 voters
- ★No preference between the finalists: 0
STAR winner: Nashville, TN

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