# The Multivac — Evaluation Report

**Evaluation ID:** EVAL-20260315-062610
**Date:** Mar 15, 2026
**Category:** reasoning
**Question ID:** EVAL-20260315-062610

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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

**Kimi K2.5** (openrouter)
- Winner Score: 9.18
- Matrix Average: 8.32
- Total Judgments: 74

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## Rankings

| Rank | Model | Provider | Avg Score | Judgments |
|------|-------|----------|-----------|----------|
| 1 | Kimi K2.5 | openrouter | 9.18 | 9 |
| 2 | Qwen 3 8B | openrouter | 9.10 | 8 |
| 3 | Gemma 3 27B | openrouter | 9.09 | 8 |
| 4 | Phi-4 14B | openrouter | 9.05 | 8 |
| 5 | Mistral Nemo 12B | openrouter | 8.49 | 7 |
| 6 | Devstral Small | openrouter | 8.38 | 9 |
| 7 | Qwen 3 32B | openrouter | 8.05 | 2 |
| 8 | Granite 4.0 Micro | openrouter | 8.03 | 7 |
| 9 | Llama 4 Scout | openrouter | 7.44 | 8 |
| 10 | Llama 3.1 8B | openrouter | 6.42 | 8 |

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## 10×10 Judgment Matrix

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

| Judge ↓ / Resp → | Qwen 3 32B | Kimi K2.5 | Devstral Small | Gemma 3 27B | Llama 4 Scout | Phi-4 14B | Granite 4.0 | Qwen 3 8B | Mistral Nemo | 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 | 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 | · | 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 | — |

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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-20260315-062610. 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-20260315-062610/results
Full dataset: https://app.themultivac.com/dashboard/export