AIDG: A Formal Decomposition of Information Extraction and Containment Asymmetries in Multi-Turn LLM Dialogue

Adib Sakhawat, Fardeen Sadab, Rakin Shahriar


Abstract
Multi-turn LLM evaluation is typically reported as a single win-rate scalar, conflating distinct capabilities. We introduce AIDG (Adversarial Information Deduction Game), formalizing multi-turn adversarial dialogue as a two-player partially observable stochastic game (POSG) and decomposing performance along Seeker (extraction) and Holder (containment) roles. The decomposition isolates three failure modes: cooperative-prior leakage, constraint–reasoning interference, and inefficient hypothesis-space traversal. Across 439 games over six frontier LLMs, defensive performance is tightly clustered (σ = 1.9 ELO) while offensive performance varies substantially (σ = 53.3 ELO); confirmation framing increases extraction odds 7.75× over uninformed deduction (p < 0.00001); and constraint violations account for 41.3% of deductive failures, uncorrelated with scale (ρ = 0.0). We position the containment-over-extraction gap not as a surprising finding but as a measurable consequence of locally-resolvable defensive decisions versus globally-coupled offensive planning, and use the decomposition to attribute the gap per model. All design choices, including turn-decay weighting and the Bradley–Terry rating model, are derived from explicit assumptions.
Anthology ID:
2026.realm-1.40
Volume:
Proceedings of the Second Workshop for REsearch on Agent Language Models (REALM 2026)
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Ehsan Kamalloo, Nicolas Gontier, Nikolai Rozanov, Maryam Hashemzadeh, Akhil Arora
Venues:
REALM | WS
SIG:
Publisher:
Association for Computational Linguistics
Note:
Pages:
579–598
Language:
URL:
https://aclanthology.org/2026.realm-1.40/
DOI:
Bibkey:
Cite (ACL):
Adib Sakhawat, Fardeen Sadab, and Rakin Shahriar. 2026. AIDG: A Formal Decomposition of Information Extraction and Containment Asymmetries in Multi-Turn LLM Dialogue. In Proceedings of the Second Workshop for REsearch on Agent Language Models (REALM 2026), pages 579–598, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
AIDG: A Formal Decomposition of Information Extraction and Containment Asymmetries in Multi-Turn LLM Dialogue (Sakhawat et al., REALM 2026)
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PDF:
https://aclanthology.org/2026.realm-1.40.pdf