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)

ABIF submission area (show)

Method options

FPTP results?

IRV/RCV results?

IRV extra analysis?

Approval results?

STAR results?

pairwise (Condorcet/Copeland) results?

pairwise tournament diagram?

Ballot options Transform ballots (using ballot-type metadata)?

Voting methods: FPTP • approval • IRV • STAR • Pairwise • All methods

Results

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

The approval voting results of TNexampleTie are below, and can be edited in the field above.

Method	Winner
Approval	Nashville, TN

OFF ON tabbed view

Approval voting results

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

📝

Note — Approval counts estimated from 84 rated ballots using favorite_viable_half method

Details

The 'favorite_viable_half' conversion algorithm: find the candidate with the most first preferences, and then determine the minimum number of figurative seats that would need to be open in order for the candidate to exceed the Hare quota with the given first-prefs. We use this to estimate how many candidates are likely to be viable candidates.

Using first-choice vote totals as a rough guide, approximately 3 candidates appear viable: Memphis, TN, Nashville, TN, and Knoxville, TN. The approximation then assumes each voter approves up to 2 of their top-ranked viable candidates (half of 3, rounded up). All candidates ranked at or above the lowest-ranked of each ballot's top viable candidates receive approval (considering up to 2 viable candidates per ballot).

See transformed ballots

Note: For Approval, these choose_many ballots are inferred from rated ballots.

Conversion method: favorite_viable_half

#------- metadata -------
{ballotcount: 84}
{title: "Tennessee capitol example"}
{description: "Hypothetical example of selecting capitol of Tennessee, only this time representing a tie election rather than an outright win."}
#------ candlines ------
=Memph:[Memphis, TN]
=Nash:[Nashville, TN]
=Chat:[Chattanooga, TN]
=Knox:[Knoxville, TN]
#------- votelines ------
42:Memph/1=Nash/1
20:Chat/1=Knox/1=Nash/1
12:Chat/1=Knox/1=Nash/1
10:Chat/1=Knox/1=Nash/1

Approval Winner: Nashville, TN
Approval Results:
- Nashville, TN (Nash) — 84 approvals (100.0% of ballots) (✅ winner)
- Memphis, TN (Memph) — 42 approvals (50.0% of ballots)
- Chattanooga, TN (Chat) — 42 approvals (50.0% of ballots)
- Knoxville, TN (Knox) — 42 approvals (50.0% of ballots)
Total: 84 ballots (210 total approvals)

Voting methods: FPTP • approval • IRV • STAR • Pairwise • All methods

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