reasoning
Mar 15, 2026EVAL-20260315-062610A 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
Kimi K2.5
openrouter
9.18
WINNER SCORE
matrix avg: 8.32
10×10 Judgment Matrix · 74 judgments
OPEN DATA
| Judge ↓ / Respondent → | Qwen 3 32B | Kimi K2.5 | Devstral Small | Gemma 3 27B | Llama 4 Scout | Phi-4 14B | Granite 4.0 Micro | Qwen 3 8B | Mistral Nemo 12B | Llama 3.1 8B |
|---|---|---|---|---|---|---|---|---|---|---|
| Qwen 3 32B | — | 10.0 | 8.0 | 8.8 | 6.3 | 9.8 | · | 10.0 | · | 5.4 |
| Kimi K2.5 | · | — | 6.6 | · | · | · | · | · | · | · |
| Devstral Small | · | 9.2 | — | 9.4 | 7.5 | 9.4 | 8.1 | 9.4 | 8.1 | 6.5 |
| Gemma 3 27B | · | 9.0 | 9.3 | — | 8.0 | 9.4 | 8.3 | 9.8 | 8.8 | 7.2 |
| Llama 4 Scout | · | 10.0 | 9.4 | 9.7 | — | 8.6 | 8.0 | 8.4 | 9.4 | 8.0 |
| Phi-4 14B | 7.8 | 9.4 | 9.7 | 9.4 | 8.6 | — | 8.9 | 9.4 | 8.9 | 4.5 |
| Granite 4.0 Micro | 8.3 | 8.8 | 8.7 | 8.7 | 8.0 | 8.8 | — | 8.8 | 8.7 | 8.0 |
| Qwen 3 8B | · | 8.8 | 7.0 | 9.8 | 6.0 | 9.6 | 6.0 | — | 6.8 | 4.4 |
| Mistral Nemo 12B | · | 8.3 | 8.3 | 7.9 | 7.2 | 7.9 | 7.9 | 8.1 | — | 7.5 |
| Llama 3.1 8B | · | 9.1 | 8.6 | 9.1 | 8.0 | 8.8 | 9.1 | 8.8 | 8.8 | — |