# The Multivac — Evaluation Report

**Evaluation ID:** EVAL-20260402-163912
**Date:** Apr 02, 2026
**Category:** reasoning
**Question ID:** REASON-014

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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

**DeepSeek V4** (openrouter)
- Winner Score: 8.71
- Matrix Average: 7.50
- Total Judgments: 70

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## Rankings

| Rank | Model | Provider | Avg Score | Judgments |
|------|-------|----------|-----------|----------|
| 1 | DeepSeek V4 | openrouter | 8.71 | 8 |
| 2 | GPT-5.4 | openrouter | 8.59 | 9 |
| 3 | Claude Sonnet 4.6 | openrouter | 8.54 | 9 |
| 4 | Grok 4.20 | openrouter | 8.42 | 9 |
| 5 | Gemini 2.5 Flash | openrouter | 8.32 | 9 |
| 6 | Claude Opus 4.6 | openrouter | 7.28 | 9 |
| 7 | MiMo-V2-Flash | Xiaomi | 7.12 | 9 |
| 8 | Gemini 3.1 Pro | openrouter | 3.04 | 8 |

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## 10×10 Judgment Matrix

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

| Judge ↓ / Resp → | DeepSeek V4 | Gemini 3.1 Pro | Claude Opus | GPT-5.4 | Grok 4.20 | MiMo-V2-Flash | Claude Sonnet | GPT-OSS-120B | Gemini 2.5 | 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 | 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 | 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 | 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 | — |

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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: REASON-014. 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-20260402-163912/results
Full dataset: https://app.themultivac.com/dashboard/export