LLMs Excel at Logic, But Struggle with Complex Game Rules

New research explores how large language models handle intricate rule interactions in dynamic environments like card games.

A recent paper reveals large language models (LLMs) perform well at basic logical reasoning but face significant challenges with complex rule synergies in games. Researchers used a card game dataset to evaluate LLM understanding of positive, negative, and neutral interactions, identifying key error types.

August 28, 2025

4 min read

LLMs Excel at Logic, But Struggle with Complex Game Rules

Key Facts

  • LLMs struggle with complex rule interactions in dynamic environments like card games.
  • A dataset of card synergies from 'Slay the Spire' was used for evaluation.
  • LLMs excel at identifying non-synergistic pairs but struggle with positive and negative synergies.
  • Common error types include issues with timing, defining game states, and following game rules.
  • The research suggests future work should improve models' ability to predict rule effects and interactions.

Why You Care

Ever wonder if the AI powering your favorite chatbot truly understands complex situations? Can it grasp the subtle nuances of strategy games, or even your own intricate daily routines? A new study suggests that while large language models (LLMs) are incredibly smart, they still have blind spots. This research highlights a fascinating limitation in how these AIs process real-world interactions, and it directly impacts how you might use them in the future.

What Actually Happened

A recent paper, titled “Rule cooperation Analysis using LLMs: State of the Art and Implications,” investigated the ability of large language models (LLMs) to reason about complex rule interactions. According to the announcement, the study focused on dynamic environments, specifically using card games. The research team, including Bahar Bateni, Benjamin Pratt, and Jim Whitehead, created a unique dataset. This dataset categorized card synergies from the game Slay the Spire, classifying pairs of cards based on their positive, negative, or neutral interactions. The documentation indicates that while LLMs showed strong performance in general domains like logical reasoning and mathematics, their performance dipped when analyzing these intricate game rules. The team revealed that LLMs excel at identifying non-synergistic pairs—cards that don’t particularly interact. However, they struggled significantly with detecting positive synergies (cards that work well together) and especially negative synergies (cards that hinder each other). Common error types identified included issues with timing, defining game states, and correctly following game rules.

Why This Matters to You

This research offers crucial insights into the current capabilities and limitations of large language models. For instance, if you’re relying on an AI to help manage complex project dependencies or even understand intricate legal documents, this study has direct implications. The study finds that while LLMs are good at simple recognition, they falter with nuanced relationships. Imagine you’re using an AI assistant to plan a complex event with many moving parts. If it struggles with how different elements interact—say, the catering setup impacting the entertainment schedule—you could face unexpected problems. This is precisely the kind of ‘cooperation’ challenge the research highlights.

Key Findings on LLM Performance:

  • Excellent: Identifying non-synergistic pairs (cards that don’t interact).
  • Struggles: Detecting positive synergies (cards that work well together).
  • Significant Struggles: Detecting negative synergies (cards that hinder each other).

“Our evaluation shows that while LLMs excel at identifying non-synergistic pairs, they struggle with detecting positive and, particularly, negative synergies,” the paper states. This means that while an LLM might tell you what doesn’t go together, it’s less reliable at predicting what will create a beneficial or detrimental outcome. How might this affect your trust in AI tools designed for complex decision-making?

The Surprising Finding

Here’s the twist: despite LLMs showing strong performance in general logical reasoning and mathematics, their difficulty with complex rule interactions in a game environment was unexpected. You might assume that an AI capable of solving equations could easily master game rules. However, the study finds this is not the case. The team revealed that the models struggled notably with understanding timing within game sequences. They also had trouble defining game states accurately. What’s more, simply following the explicit game rules proved challenging for these models. This is surprising because games like Slay the Spire have defined rulesets, unlike the open-ended nature of general language. The research shows that even with clear rules, the dynamic interplay of those rules, especially when leading to positive or negative outcomes, remains a hurdle for current LLM architectures. It challenges the common assumption that general intelligence in LLMs automatically translates to nuanced strategic understanding.

What Happens Next

Looking ahead, this research points to clear directions for improving large language models. The study suggests future efforts should focus on enhancing models’ ability to predict the effects of rules and their interactions. For example, developers might need to train LLMs on more diverse and complex datasets that specifically emphasize dynamic rule environments. This could involve creating new training methods that prioritize understanding temporal relationships and state changes within rule systems. For you, this means future AI tools might become more adept at tasks requiring intricate planning or strategic thinking. Imagine an AI personal assistant that can truly understand the ripple effects of your decisions. The industry implications are significant, particularly for fields like game creation, simulation, and even complex system design. The paper states that these findings suggest directions for future research to improve model performance in predicting the effect of rules and their interactions.