reasoning
Apr 02, 2026REASON-014A 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
DeepSeek V4
openrouter
8.71
WINNER SCORE
matrix avg: 7.50
10×10 Judgment Matrix · 70 judgments
OPEN DATA
| Judge ↓ / Respondent → | DeepSeek V4 | Gemini 3.1 Pro | Claude Opus 4.6 | GPT-5.4 | Grok 4.20 | MiMo-V2-Flash | Claude Sonnet 4.6 | GPT-OSS-120B | Gemini 2.5 Flash | MiniMax M2.5 |
|---|---|---|---|---|---|---|---|---|---|---|
| DeepSeek V4 | — | 5.4 | 8.7 | 9.4 | 9.4 | 9.4 | 9.4 | · | 9.4 | · |
| Gemini 3.1 Pro | 6.9 | — | 7.3 | 9.8 | 6.9 | 5.3 | 7.3 | · | 6.9 | · |
| Claude Opus 4.6 | 9.0 | 2.8 | — | 9.0 | 8.3 | 6.1 | 8.9 | · | 8.8 | · |
| GPT-5.4 | 9.0 | 2.7 | 5.7 | — | 9.0 | 5.8 | 8.4 | · | 8.4 | · |
| Grok 4.20 | 8.4 | 4.4 | 8.3 | 8.7 | — | 6.8 | 8.7 | · | 8.7 | · |
| MiMo-V2-Flash | 9.4 | 2.2 | 7.8 | 7.3 | 9.2 | — | 9.4 | · | 9.4 | · |
| Claude Sonnet 4.6 | 8.8 | 2.9 | 7.2 | 7.8 | 8.8 | 8.3 | — | · | 9.0 | · |
| GPT-OSS-120B | · | 2.0 | 5.5 | 6.5 | 4.9 | 5.8 | 5.3 | — | 5.7 | · |
| Gemini 2.5 Flash | 9.4 | · | 8.4 | 10.0 | 9.4 | 8.7 | 9.8 | · | — | · |
| MiniMax M2.5 | 8.7 | 2.0 | 6.7 | 9.0 | 9.8 | 7.9 | 9.7 | · | 8.7 | — |