Five Candidates Hypothetical with Two Blue Candidates

Five Candidates Hypothetical with Two Blue Candidates
Hypothetical run by Copilot using Elected Together Methodology

1. Candidate Table

CandidateAffiliation
Blue 1Progressive (mainstream)
Blue 2Progressive (reformist)
Red 1Conservative
Purple 1Centrist / Relational
Green 1Environmentalist

2. Voter Group Table

GroupSize1st2nd3rd
G118Blue 1Blue 2Green 1
G210Blue 1
G36Blue 1Purple 1
G414Blue 2Blue 1Green 1
G56Blue 2
G64Blue 2Purple 1
G716Red 1Purple 1
G86Red 1
G94Red 1Blue 2
G108Purple 1Blue 1Red 1
G114Purple 1Red 1Blue 2
G124Green 1Blue 1Purple 1

Electorate total: 100 voters.

3. Majority Seat RCV Process

First-choice tally
Blue 1: 34 (G1, G2, G3)
Blue 2: 24 (G4, G5, G6)
Red 1: 26 (G7, G8, G9)
Purple 1: 12 (G10, G11)
Green 1: 4 (G12)

No majority → eliminate Green 1.

Transfers from Green 1
G12 (4) → Blue 1 (+4)

Tally: Blue 1: 38 | Blue 2: 24 | Red 1: 26 | Purple 1: 12

Eliminate Purple 1.
G10 (8) → Blue 1 (+8)
G11 (4) → Red 1 (+4)

Tally: Blue 1: 46 | Blue 2: 24 | Red 1: 30

Eliminate Blue 2.
G4 (14) → Blue 1 (+14)
G5 (6) → exhaust
G6 (4) → Red 1 (+4)

Final tally:
Blue 1: 60 | Red 1: 34 | Exhausted: 6

Majority winner: Blue 1


4. Majority Seat Power Attribution

Used-to-elect Blue 1 (final round ballots):
G1: 18
G2: 10
G3: 6
G12: 4
G10: 8
G4: 14
Total = 60 ballots

Second-choice additions: none (no remaining groups list Blue 1 second).

Majority seat voting power: 60% of electorate → 1.20 seats

Removed from minority pool: G1, G2, G3, G4, G10, G12.

5. Minority Seat RCV Process

Minority pool composition
G5: 6 (Blue 2 only)
G6: 4 (Blue 2 > Purple)
G7: 16 (Red 1 > Purple)
G8: 6 (Red 1 only)
G9: 4 (Red 1 > Blue 2)
G11: 4 (Purple > Red 1)

Total: 40 ballots

First-choice tally
Red 1: 26 (G7, G8, G9)
Blue 2: 10 (G5, G6)
Purple 1: 4 (G11)

Eliminate Purple 1 (4) → transfers to Red 1 (+4)

Final tally:
Red 1: 30
Blue 2: 10

Minority winner: Red 1

Minority seat voting power: 2.00 − 1.20 = 0.80 seats


6. Final Outcomes

Seat TypeWinnerVoting Power
Majority SeatBlue 11.20
Minority SeatRed 10.80

Key Points

  • Limited Blue↔Red crossover preserved distinct winners in each camp.
  • Purple 1 acted as a transfer bridge to both major camps but could not capture a seat.
  • Green 1’s early elimination consolidated progressive votes behind Blue 1.
  • Truncated Blue 2 ballots (G5) exhausted in the majority runoff but stayed in the minority pool, reinforcing Blue 2’s minority tally without overtaking Red 1.