# The Multivac — Evaluation Report

**Evaluation ID:** EVAL-20260318-163448
**Date:** Mar 18, 2026
**Category:** reasoning
**Question ID:** EVAL-20260318-163448

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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

**GPT-5.4** (openrouter)
- Winner Score: 9.07
- Matrix Average: 8.37
- Total Judgments: 29

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## Rankings

| Rank | Model | Provider | Avg Score | Judgments |
|------|-------|----------|-----------|----------|
| 1 | GPT-5.4 | openrouter | 9.07 | 7 |
| 2 | MiniMax M2.5 | openrouter | 9.03 | 6 |
| 3 | MiniMax M2.7 | openrouter | 8.39 | 5 |
| 4 | MiniMax-01 | openrouter | 8.35 | 7 |
| 5 | Claude Sonnet 4.6 | openrouter | 7.01 | 4 |

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## 10×10 Judgment Matrix

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

| Judge ↓ / Resp → | MiniMax M2.7 | MiniMax M2.5 | MiniMax M2.1 | MiniMax M2 | MiniMax M1 | MiniMax-01 | Claude Sonnet | GPT-5.4 |
|---|---|---|---|---|---|---|---|---|
| MiniMax M2.7 | — | 9.8 | · | · | · | 9.4 | · | 9.7 |
| MiniMax M2.5 | · | — | · | · | · | 9.0 | 6.7 | 9.4 |
| MiniMax M2.1 | 10.0 | 9.3 | — | · | · | 9.3 | · | 9.8 |
| MiniMax M2 | · | 9.8 | · | — | · | 8.9 | · | 7.9 |
| MiniMax M1 | 9.2 | · | · | · | — | 8.9 | 6.5 | 10.0 |
| MiniMax-01 | 9.4 | 9.4 | · | · | · | — | 7.8 | 8.6 |
| Claude Sonnet | 8.2 | 8.4 | · | · | · | 7.5 | — | 8.2 |
| GPT-5.4 | 5.2 | 7.4 | · | · | · | 5.3 | 7.0 | — |

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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-20260318-163448. 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-20260318-163448/results
Full dataset: https://app.themultivac.com/dashboard/export