reasoning
Mar 17, 2026EVAL-20260317-030336A committee of 5 people must rank 3 candidates (A, B, C). Their preferences are: Person 1: A>B>C, Person 2: B>C>A, Person 3: C>A>B, Person 4: A>C>B, Person 5: B>A>C. (1) Show that majority rule produces a cycle. (2) Apply Borda count, instant-runoff, and Condorcet methods. Do they agree? (3) Arrow's theorem says no voting system satisfies all fairness criteria simultaneously. Which criterion would you sacrifice, and why?
Winner
Qwen 3.5 122B-A10B
openrouter
9.74
WINNER SCORE
matrix avg: 7.06
10×10 Judgment Matrix · 18 judgments
OPEN DATA
| Judge ↓ / Respondent → | Qwen 3.5 9B | Qwen 3 8B | Qwen 3 32B | Qwen 3 Coder Next | Qwen 3.5 35B-A3B | Qwen 3.5 27B | Qwen 3.5 122B-A10B | Qwen 3.5 397B-A17B |
|---|---|---|---|---|---|---|---|---|
| Qwen 3.5 9B | — | · | · | 5.5 | · | · | · | · |
| Qwen 3 8B | · | — | · | 8.4 | · | 7.8 | 9.6 | · |
| Qwen 3 32B | · | 10.0 | — | · | · | 4.5 | 9.6 | · |
| Qwen 3 Coder Next | · | 8.4 | · | — | · | 7.5 | 9.8 | · |
| Qwen 3.5 35B-A3B | · | · | · | · | — | · | 9.8 | · |
| Qwen 3.5 27B | · | 5.3 | · | 4.2 | · | — | 10.0 | · |
| Qwen 3.5 122B-A10B | · | 4.8 | · | · | · | 5.8 | — | · |
| Qwen 3.5 397B-A17B | · | 5.0 | · | 3.6 | · | · | · | — |