# The Multivac — Evaluation Report

**Evaluation ID:** EVAL-20260317-030336
**Date:** Mar 17, 2026
**Category:** reasoning
**Question ID:** EVAL-20260317-030336

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## Question

A 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?

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## Winner

**Qwen 3.5 122B-A10B** (openrouter)
- Winner Score: 9.74
- Matrix Average: 7.06
- Total Judgments: 18

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## Rankings

| Rank | Model | Provider | Avg Score | Judgments |
|------|-------|----------|-----------|----------|
| 1 | Qwen 3.5 122B-A10B | openrouter | 9.74 | 5 |
| 2 | Qwen 3 8B | openrouter | 6.70 | 5 |
| 3 | Qwen 3.5 27B | openrouter | 6.38 | 4 |
| 4 | Qwen 3 Coder Next | openrouter | 5.42 | 4 |

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## 10×10 Judgment Matrix

Rows = Judge, Columns = Respondent. Self-judgments excluded (—).

| Judge ↓ / Resp → | Qwen 3.5 9B | Qwen 3 8B | Qwen 3 32B | Qwen 3 | Qwen 3.5 | Qwen 3.5 27B | Qwen 3.5 | Qwen 3.5 |
|---|---|---|---|---|---|---|---|---|
| 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 | · | 8.4 | · | — | · | 7.5 | 9.8 | · |
| Qwen 3.5 | · | · | · | · | — | · | 9.8 | · |
| Qwen 3.5 27B | · | 5.3 | · | 4.2 | · | — | 10.0 | · |
| Qwen 3.5 | · | 4.8 | · | · | · | 5.8 | — | · |
| Qwen 3.5 | · | 5.0 | · | 3.6 | · | · | · | — |

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## Methodology

- **10×10 Blind Peer Matrix:** All models answer the same question, then all models judge all responses.
- **5 Criteria:** Correctness, completeness, clarity, depth, usefulness (each scored 1–10).
- **Self-judgments excluded:** Models do not judge their own responses.
- **Weighted Score:** Composite of all 5 criteria.

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## Citation

The Multivac (2026). Blind Peer Evaluation: EVAL-20260317-030336. app.themultivac.com

## License

Open data. Free to use, share, and build upon. Please cite The Multivac when using this data.

Download raw JSON: https://app.themultivac.com/api/evaluations/EVAL-20260317-030336/results
Full dataset: https://app.themultivac.com/dashboard/export