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Injecting symbolic reasoning frameworks into LLM agents significantly alters their risk aversion, reshaping multi-agent ecosystems to produce distinct winner distributions without the agent ever winning itself. Crucially, the study demonstrates that this behavioral modulation stems from the reflective process rather than the semantic content of the prompts, as neither hexagram themes nor Tarot card postures predicted subsequent actions. This finding highlights that the structural mechanism of reflection, not specific cultural symbols, drives system-level consequences in strategic AI environments.
Source coveringarXiv

Symbolic Reasoning Frameworks Modulate LLM Risk Aversion in Multi-Agent Strategic Settings

arXiv3 min read

arXiv:2606.07552v1 Announce Type: cross Abstract: Large language models exhibit innate behavioral tendencies when deployed as strategic agents -- notably a risk-averse "turtle" bias toward defensive play. We show that symbolic reasoning frameworks, injected as per-round reflective prompts into one agent, differentially modulate this bias and reshape the multi-agent ecosystem to produce framework-specific winner distributions. In a 7-player Warring States Diplomacy variant (41 games, 4 conditions, single-campaign memory accumulation), each framework produces a distinct ecosystem signature: under control, Yan dominates (7/11, 64%); under I-Ching yarrow divination, Yan and Chu co-dominate while Qin is completely suppressed (0/10); under Tarot, Qin dominates (5/10, Fisher vs. pooled p = 0.006); under scrambled-text ablation (incoherent oracle text preserving prompt structure), Qi dominates (5/10, Fisher vs. pooled p = 0.006). The framework-receiving agent (Han) never wins and shows no survival difference across conditions (Fisher p = 1.0), but Tarot consistently elevates Han's peak territory (mean 3.0 SCs vs. 2.1-2.5 others, Kruskal-Wallis p = 0.010). Neither framework's content predicts subsequent actions -- hexagram themes (chi-squared p = 0.95) and Tarot card postures (chi-squared p = 0.69) are both independent of action choice -- suggesting the modulation operates through the reflective process, not content-following. We present this as an observation paper establishing that alignment-framework choice at the agent level produces distinctive system-level consequences in multi-agent settings.

Abstract:Large language models exhibit innate behavioral tendencies when deployed as strategic agents -- notably a risk-averse "turtle" bias toward defensive play. We show that symbolic reasoning frameworks, injected as per-round reflective prompts into one agent, differentially modulate this bias and reshape the multi-agent ecosystem to produce framework-specific winner distributions. In a 7-player Warring States Diplomacy variant (41 games, 4 conditions, single-campaign memory accumulation), each framework produces a distinct ecosystem signature: under control, Yan dominates (7/11, 64%); under I-Ching yarrow divination, Yan and Chu co-dominate while Qin is completely suppressed (0/10); under Tarot, Qin dominates (5/10, Fisher vs. pooled p = 0.006); under scrambled-text ablation (incoherent oracle text preserving prompt structure), Qi dominates (5/10, Fisher vs. pooled p = 0.006). The framework-receiving agent (Han) never wins and shows no survival difference across conditions (Fisher p = 1.0), but Tarot consistently elevates Han's peak territory (mean 3.0 SCs vs. 2.1-2.5 others, Kruskal-Wallis p = 0.010). Neither framework's content predicts subsequent actions -- hexagram themes (chi-squared p = 0.95) and Tarot card postures (chi-squared p = 0.69) are both independent of action choice -- suggesting the modulation operates through the reflective process, not content-following. We present this as an observation paper establishing that alignment-framework choice at the agent level produces distinctive system-level consequences in multi-agent settings.

17 pages, 3 figures, 6 tables, 6 listings. Code and data: this https URL

Multiagent Systems (cs.MA); Artificial Intelligence (cs.AI); Machine Learning (cs.LG)

arXiv:2606.07552 [cs.MA]

(or arXiv:2606.07552v1 [cs.MA] for this version)

https://doi.org/10.48550/arXiv.2606.07552 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 325 words

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