AIDG: A Formal Decomposition of Information Extraction and Containment Asymmetries in Multi-Turn LLM Dialogue
Adib Sakhawat, Fardeen Sadab, Rakin Shahriar
BibTeX
@inproceedings{sakhawat2026aidg,
title = {{AIDG}: A Formal Decomposition of Information Extraction and Containment Asymmetries in Multi-Turn LLM Dialogue},
author = {Sakhawat, Adib and Sadab, Fardeen and Shahriar, Rakin},
booktitle = {Proceedings of the REALM Workshop at EMNLP 2026},
year = {2026},
eprint = {2602.17443},
archivePrefix = {arXiv}
}
Description
Multi-turn LLM evaluations usually report one number, a win rate. But winning a conversational game takes two different skills: extracting information you don't have, and containing information you do. AIDG separates them.
The framework
AIDG (Adversarial Information Deduction Game) formalises multi-turn adversarial dialogue as a two-player partially observable stochastic game with two roles:
- Seeker: tries to extract a hidden secret through questioning.
- Holder: tries to keep it while still answering.
The decomposition isolates three failure modes: cooperative-prior leakage (giving information away out of helpfulness), constraint–reasoning interference (losing track of the rules while reasoning), and inefficient hypothesis-space traversal (asking questions that don't narrow the search).
Results
439 games across six frontier LLMs, rated with Bradley–Terry Elo:
| Model | Extraction (Seeker Elo) | Containment (Holder Elo) | Gap |
|---|---|---|---|
| Qwen3-235B | 1443.6 | 1627.1 | 183.5 |
| GPT-5 | 1409.9 | 1626.1 | 216.2 |
| Gemini-2.5-Flash | 1372.1 | 1626.3 | 254.2 |
| DeepSeek-V3.1 | 1360.0 | 1629.7 | 269.7 |
| Llama-4-Maverick | 1349.5 | 1630.9 | 281.4 |
| Granite-3.3-8B | 1297.9 | 1626.6 | 328.7 |
| Standard deviation | 53.3 | 1.9 |
Key findings
- Containment is uniform; extraction is not. Holder ratings sit within a 1.9-point spread, while Seeker ratings vary 28 times as much.
- Confirmation beats guessing. Confirmation-style questions raise extraction odds 7.75× over uninformed deduction (p below 0.00001).
- Rule-following breaks under pressure. Constraint violations cause 41.3% of deductive failures, and the rate does not improve with scale (ρ = 0.0).
Why it matters
The containment-over-extraction gap is not a surprise to be reported but a predictable consequence: defensive decisions can be made locally, turn by turn, while offensive planning needs a global view of the conversation. The decomposition lets you attribute that gap model by model, with every design choice derived from explicit assumptions.
Resources
- Paper: arXiv:2602.17443 · accepted at the REALM Workshop, EMNLP 2026
- Code: github.com/sakhadib/AIDG