# Technical Note: Game-Theoretic Interactions of Different Orders

arXiv: https://arxiv.org/abs/2010.14978 · HTML: https://mlsanity.com/paper/2010.14978/

## Key facts

- Cited by 11 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 28 Oct 2020.

## Built on by (most cited first, 11 of 11)

- [A Unified Game-Theoretic Interpretation of Adversarial Robustness](https://mlsanity.com/paper/2111.03536/) (2021)
- [Interpreting Attributions and Interactions of Adversarial Attacks](https://mlsanity.com/paper/2108.06895/) (2021)
- [Interpreting Representation Quality of DNNs for 3D Point Cloud Processing](https://mlsanity.com/paper/2111.03549/) (2021)
- [Proving Common Mechanisms Shared by Twelve Methods of Boosting Adversarial Transferability](https://mlsanity.com/paper/2207.11694/) (2022)
- [INTER: Mitigating Hallucination in Large Vision-Language Models by Interaction Guidance Sampling](https://mlsanity.com/paper/2507.05056/) (2025)
- [Diagnosing the Compositional Knowledge of Vision Language Models from a Game-Theoretic View](https://mlsanity.com/paper/2405.17201/) (2024)
- [Navigating Beyond Dropout: An Intriguing Solution Towards Generalizable Image Super Resolution](https://mlsanity.com/paper/2402.18929/) (2024)
- [Distributing Synergy Functions: Unifying Game-Theoretic Interaction Methods for Machine-Learning Explainability](https://mlsanity.com/paper/2305.03100/) (2023)
- [Interpreting and improving deep-learning models with reality checks](https://mlsanity.com/paper/2108.06847/) (2021)
- [The Interaction Bottleneck of Deep Neural Networks: Discovery, Proof, and Modulation](https://mlsanity.com/paper/2512.18607/) (2025)
- [A Unified Game-Theoretic Interpretation of Adversarial Robustness](https://mlsanity.com/paper/2103.07364/) (2021)

## Abstract (arXiv)

In this study, we define interaction components of different orders between two input variables based on game theory. We further prove that interaction components of different orders satisfy several desirable properties.