# Adaptive Reward-Poisoning Attacks against Reinforcement Learning

arXiv: https://arxiv.org/abs/2003.12613 · HTML: https://mlsanity.com/paper/2003.12613/

## Key facts

- Cited by 86 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 27 Mar 2020.

## Built on by (most cited first, 30 of 86)

- [Advances in adversarial attacks and defenses in computer vision: A survey](https://mlsanity.com/paper/2108.00401/) (2021)
- [Wild Patterns Reloaded: A Survey of Machine Learning Security against Training Data Poisoning](https://mlsanity.com/paper/2205.01992/) (2022)
- [Who Is the Strongest Enemy? Towards Optimal and Efficient Evasion Attacks in Deep RL](https://mlsanity.com/paper/2106.05087/) (2021)
- [Efficient Adversarial Training without Attacking: Worst-Case-Aware Robust Reinforcement Learning](https://mlsanity.com/paper/2210.05927/) (2022)
- [Trustworthy Reinforcement Learning Against Intrinsic Vulnerabilities: Robustness, Safety, and Generalizability](https://mlsanity.com/paper/2209.08025/) (2022)
- [RLHFPoison: Reward Poisoning Attack for Reinforcement Learning with Human Feedback in Large Language Models](https://mlsanity.com/paper/2311.09641/) (2023)
- [Corruption-Robust Offline Reinforcement Learning with General Function Approximation](https://mlsanity.com/paper/2310.14550/) (2023)
- [Robust Policy Gradient against Strong Data Corruption](https://mlsanity.com/paper/2102.05800/) (2021)
- [BadRL: Sparse Targeted Backdoor Attack Against Reinforcement Learning](https://mlsanity.com/paper/2312.12585/) (2023)
- [Provably Efficient Black-Box Action Poisoning Attacks Against Reinforcement Learning](https://mlsanity.com/paper/2110.04471/) (2021)
- [Agentic AI Security: Threats, Defenses, Evaluation, and Open Challenges](https://mlsanity.com/paper/2510.23883/) (2025)
- [Reward Poisoning in Reinforcement Learning: Attacks Against Unknown Learners in Unknown Environments](https://mlsanity.com/paper/2102.08492/) (2021)
- [COPA: Certifying Robust Policies for Offline Reinforcement Learning against Poisoning Attacks](https://mlsanity.com/paper/2203.08398/) (2022)
- [Defense Against Reward Poisoning Attacks in Reinforcement Learning](https://mlsanity.com/paper/2102.05776/) (2021)
- [Understanding the Limits of Poisoning Attacks in Episodic Reinforcement Learning](https://mlsanity.com/paper/2208.13663/) (2022)
- [Reward Poisoning Attacks on Offline Multi-Agent Reinforcement Learning](https://mlsanity.com/paper/2206.01888/) (2022)
- [Reinforcement Learning for Feedback-Enabled Cyber Resilience](https://mlsanity.com/paper/2107.00783/) (2021)
- [Poisoning Attack against Estimating from Pairwise Comparisons](https://mlsanity.com/paper/2107.01854/) (2021)
- [Implicit Poisoning Attacks in Two-Agent Reinforcement Learning: Adversarial Policies for Training-Time Attacks](https://mlsanity.com/paper/2302.13851/) (2023)
- [Byzantine-Robust Online and Offline Distributed Reinforcement Learning](https://mlsanity.com/paper/2206.00165/) (2022)
- [A Search-Based Testing Approach for Deep Reinforcement Learning Agents](https://mlsanity.com/paper/2206.07813/) (2022)
- [Admissible Policy Teaching through Reward Design](https://mlsanity.com/paper/2201.02185/) (2022)
- [Building Privacy-Preserving and Secure Geospatial Artificial Intelligence Foundation Models](https://mlsanity.com/paper/2309.17319/) (2023)
- [Optimal Attack and Defense for Reinforcement Learning](https://mlsanity.com/paper/2312.00198/) (2023)
- [Seven Security Challenges in Cross-domain Multi-agent LLM Systems](https://mlsanity.com/paper/2505.23847/) (2025)
- [When Are Linear Stochastic Bandits Attackable?](https://mlsanity.com/paper/2110.09008/) (2021)
- [Iterative Teaching by Label Synthesis](https://mlsanity.com/paper/2110.14432/) (2021)
- [Efficient Adversarial Attacks on Online Multi-agent Reinforcement Learning](https://mlsanity.com/paper/2307.07670/) (2023)
- [Efficient Reward Poisoning Attacks on Online Deep Reinforcement Learning](https://mlsanity.com/paper/2205.14842/) (2022)
- [Game Redesign in No-regret Game Playing](https://mlsanity.com/paper/2110.11763/) (2021)

## Abstract (arXiv)

In reward-poisoning attacks against reinforcement learning (RL), an attacker can perturb the environment reward rt into rt+δt at each step, with the goal of forcing the RL agent to learn a nefarious policy. We categorize such attacks by the infinity-norm constraint on δt: We provide a lower threshold below which reward-poisoning attack is infeasible and RL is certified to be safe; we provide a corresponding upper threshold above which the attack is feasible. Feasible attacks can be further categorized as non-adaptive where δt depends only on (st,at, st+1), or adaptive where δt depends further on the RL agent's learning process at time t. Non-adaptive attacks have been the focus of prior works. However, we show that under mild conditions, adaptive attacks can achieve the nefarious policy in steps polynomial in state-space size |S|, whereas non-adaptive attacks require exponential steps. We provide a constructive proof that a Fast Adaptive Attack strategy achieves the polynomial rate. Finally, we show that empirically an attacker can find effective reward-poisoning attacks using state-of-the-art deep RL techniques.
