# The Multivac — Evaluation Report

**Evaluation ID:** EVAL-20260402-174122
**Date:** Apr 02, 2026
**Category:** reasoning
**Question ID:** REASON-021

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## Question

Three companies (A, B, C) compete in a market. Each can price Low ($5), Medium ($10), or High ($15). Payoffs depend on relative pricing: the lowest-priced company gets 60% market share, middle gets 30%, highest gets 10%. If tied, they split equally. Market size is $1M. (1) Find all Nash equilibria. (2) Is there a Pareto-optimal outcome that isn't a Nash equilibrium? (3) If the game repeats 100 times, how does the strategy change?

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## Winner

**Grok 4.20** (openrouter)
- Winner Score: 7.39
- Matrix Average: 5.37
- Total Judgments: 70

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## Rankings

| Rank | Model | Provider | Avg Score | Judgments |
|------|-------|----------|-----------|----------|
| 1 | Grok 4.20 | openrouter | 7.39 | 8 |
| 2 | GPT-5.4 | openrouter | 7.04 | 9 |
| 3 | Claude Opus 4.6 | openrouter | 6.56 | 8 |
| 4 | Claude Sonnet 4.6 | openrouter | 5.33 | 9 |
| 5 | MiMo-V2-Flash | Xiaomi | 4.96 | 9 |
| 6 | DeepSeek V4 | openrouter | 4.72 | 9 |
| 7 | Gemini 2.5 Flash | openrouter | 4.53 | 9 |
| 8 | Gemini 3.1 Pro | openrouter | 2.43 | 9 |

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## 10×10 Judgment Matrix

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

| Judge ↓ / Resp → | Gemini 3.1 Pro | DeepSeek V4 | Claude Opus | GPT-5.4 | Grok 4.20 | Claude Sonnet | Gemini 2.5 | MiMo-V2-Flash | GPT-OSS-120B | MiniMax M2.5 |
|---|---|---|---|---|---|---|---|---|---|---|
| Gemini 3.1 Pro | — | 4.0 | 4.6 | 6.3 | 5.8 | 4.3 | 2.5 | 2.6 | · | · |
| DeepSeek V4 | 5.5 | — | 8.4 | 8.4 | 9.0 | 8.4 | 7.0 | 8.4 | · | · |
| Claude Opus | 1.6 | 4.3 | — | 6.8 | 6.3 | 3.2 | 3.9 | 3.4 | · | · |
| GPT-5.4 | 0.7 | 3.3 | 5.0 | — | 5.0 | 3.6 | 3.3 | 4.0 | · | · |
| Grok 4.20 | 2.0 | 4.4 | 5.8 | 6.0 | — | 4.0 | 4.0 | 4.4 | · | · |
| Claude Sonnet | 2.3 | 5.0 | 8.0 | 7.8 | 7.8 | — | 5.0 | 4.8 | · | · |
| Gemini 2.5 | 3.8 | 6.0 | 7.0 | 7.5 | 8.8 | 6.5 | — | 7.2 | · | · |
| MiMo-V2-Flash | 2.9 | 6.5 | 8.0 | 8.2 | 8.6 | 7.8 | 6.0 | — | · | · |
| GPT-OSS-120B | 1.4 | 3.4 | 5.7 | 4.5 | · | 3.5 | 4.0 | 3.4 | — | · |
| MiniMax M2.5 | 1.9 | 5.8 | · | 7.7 | 8.0 | 6.8 | 5.2 | 6.4 | · | — |

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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-021. 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-20260402-174122/results
Full dataset: https://app.themultivac.com/dashboard/export