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Center squeeze (RCV-IRV) — minimal 27-voter case (the moderate is eliminated)

Generated from center_squeeze_irv.yaml — do not edit by hand. Regenerate: python STARVote_LH_tabulation_engine/tools_adam/scripts/build_yaml_pages.py.

Method: RCV-IRV (Instant Runoff) · 1 seat · Expected winner: Left

Scenario

The minimal center-squeeze electorate, counted by RCV-IRV: 27 voters on a 1-D spectrum. Center is every faction's acceptable second choice and beats either pole head-to-head — but holds the FEWEST first choices (6), is eliminated in round one, and polar Left wins. The matched file center_squeeze_star.yaml scores the same profile 0-5 and elects Center. See center_squeeze_voteline_1d.yaml for the spectrum picture and the center-squeeze topic hub for the cross-method view.

Ballots

Each row is one voter's ranking, most-preferred first (N: prefix = N identical ballots).

12:Left>Center>Right
9:Right>Center>Left
6:Center>Left>Right

What the engine says

Round-by-round Sankey diagram: each candidate's votes as a band, and where the votes of an eliminated candidate transferred to.

Where the votes went. Band thickness is votes; a band leaving an eliminated candidate lands on whoever that ballot ranked next, or on inactive if it ranked nobody who was left.

The count, step by step — the rounds and how the winner is reached:

--- RCV / Instant-Runoff Voting (single winner) ---
  Center squeeze (RCV-IRV) — minimal 27-voter case (the moderate is eliminated)
 Tabulating 27 ballots (ranked ballots).

ROUND 1
Candidate      Votes  Status
-----------  -------  --------
Left              12  Hopeful
Right              9  Hopeful
Center             6  Rejected

FINAL RESULT
Candidate      Votes  Status
-----------  -------  --------
Left              18  Elected
Right              9  Rejected
Center             0  Rejected


Winner(s) — RCV / Instant-Runoff Voting (single winner)
  Left

Full audit — preference matrix, Condorcet, and score distribution

--- Smith Set (the generalized Condorcet winner) ---
The smallest group whose every member beats every candidate outside it —
the honest answer to "who is even in contention?".
   Smith set (1 of 3): Center
   Outside (2):        Left, Right
   One member ⇒ Center is the Condorcet winner, beating every rival head-to-head.
   RCV-IRV winner Left is OUTSIDE the Smith set. ✗
      Every member of the set (Center) beats Left head-to-head, yet
      RCV-IRV elected Left anyway. RCV-IRV is not Smith-efficient (nor
      Condorcet-efficient) — this is the shape a center squeeze leaves behind.
   More: 07_Concepts/topics/smith_set.md

Everything in one file: the _tabulated mirror (regenerated on every run; every analysis forced on).

Run it yourself:

python STARVote_LH_tabulation_engine/starvote_larry_hastings.py method_comparisons/center_squeeze/cases/center_squeeze_irv.yaml

See also

More cases in this set: center_squeeze_star · center_squeeze_voteline_1d