Approximate exploitability: Learning a best response in large games
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Abstract (arXiv)
Researchers have demonstrated that neural networks are vulnerable to adversarial examples and subtle environment changes, both of which one can view as a form of distribution shift. To humans, the resulting errors can look like blunders, eroding trust in these agents. In prior games research, agent evaluation often focused on the in-practice game outcomes. While valuable, such evaluation typically fails to evaluate robustness to worst-case outcomes. Prior research in computer poker has examined how to assess such worst-case performance, both exactly and approximately. Unfortunately, exact computation is infeasible with larger domains, and existing approximations rely on poker-specific knowledge. We introduce ISMCTS-BR, a scalable search-based deep reinforcement learning algorithm for learning a best response to an agent, thereby approximating worst-case performance. We demonstrate the technique in several two-player zero-sum games against a variety of agents, including several AlphaZero-based agents.
Key facts. Cited by 23 papers in the map (data through 7 Oct 2026). First posted on arXiv 20 Apr 2020.
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Citing papers per year: 2021: 1; 2022: 4; 2023: 8; 2024: 3; 2025: 3; 2026: 4.
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- 2023Evaluating Superhuman Models with Consistency Checkscited by 47
- 2023Diversifying AI: Towards Creative Chess with AlphaZerocited by 15
- 2022Last-Iterate Convergence with Full and Noisy Feedback in Two-Player Zero-Sum Gamescited by 9
- 2021Search in Imperfect Information Gamescited by 8
- 2022Mutation-Driven Follow the Regularized Leader for Last-Iterate Convergence in Zero-Sum Gamescited by 8
- 2023Population-based Evaluation in Repeated Rock-Paper-Scissors as a Benchmark for Multiagent Reinforcement Learningcited by 5
- 2023The Adaptive Arms Race: Redefining Robustness in AI Securitycited by 4
- 2024Multi-Agent Diagnostics for Robustness via Illuminated Diversitycited by 4
- 2022BRExIt: On Opponent Modelling in Expert Iterationcited by 2
- 2023The Update-Equivalence Framework for Decision-Time Planningcited by 2
- 2023JiangJun: Mastering Xiangqi by Tackling Non-Transitivity in Two-Player Zero-Sum Gamescited by 2
- 2026Game-Theoretic Co-Evolution for LLM-Based Heuristic Discoverycited by 2
11 more
- 2024Offline Fictitious Self-Play for Competitive Gamescited by 1
- 2024Learning to Beat ByteRL: Exploitability of Collectible Card Game Agentscited by 1
- 2025On the Power of Perturbation under Sampling in Solving Extensive-Form Gamescited by 1
- 2026How Much Due Diligence Before You Bid? Learning in Intractable Takeover Auctionscited by 1
- 2022Finding mixed-strategy equilibria of continuous-action games without gradients using randomized policy networkscited by 0
- 2023ApproxED: Approximate exploitability descent via learned best responsescited by 0
- 2023Combining a Meta-Policy and Monte-Carlo Planning for Scalable Type-Based Reasoning in Partially Observable Environmentscited by 0
- 2025Beyond Game Theory Optimal: Profit-Maximizing Poker Agents for No-Limit Holdemcited by 0
- 2025Outbidding and Outbluffing Elite Humans: Mastering Liar's Poker via Self-Play and Reinforcement Learningcited by 0
- 2026A Structural Threshold in Decision Capacity Governs Collapse in Self-Play Reinforcement Learningcited by 0
- 2026Communicating Chess Strategies in Natural Languagecited by 0
- 2026Communicating Chess Strategies in Natural Language13 Jul 2026
- 2026How Much Due Diligence Before You Bid? Learning in Intractable Takeover Auctions28 Jun 2026
- 2026A Structural Threshold in Decision Capacity Governs Collapse in Self-Play Reinforcement Learning4 May 2026
- 2026Game-Theoretic Co-Evolution for LLM-Based Heuristic Discovery30 Jan 2026
- 2025Outbidding and Outbluffing Elite Humans: Mastering Liar's Poker via Self-Play and Reinforcement Learning5 Nov 2025
- 2025Beyond Game Theory Optimal: Profit-Maximizing Poker Agents for No-Limit Holdem28 Sep 2025
- 2025On the Power of Perturbation under Sampling in Solving Extensive-Form Games28 Jan 2025
- 2024Learning to Beat ByteRL: Exploitability of Collectible Card Game Agents25 Apr 2024
- 2024Offline Fictitious Self-Play for Competitive Games29 Feb 2024
- 2024Multi-Agent Diagnostics for Robustness via Illuminated Diversity24 Jan 2024
- 2023The Adaptive Arms Race: Redefining Robustness in AI Security20 Dec 2023
- 2023Diversifying AI: Towards Creative Chess with AlphaZero17 Aug 2023
11 more
- 2023JiangJun: Mastering Xiangqi by Tackling Non-Transitivity in Two-Player Zero-Sum Games9 Aug 2023
- 2023Evaluating Superhuman Models with Consistency Checks16 Jun 2023
- 2023Combining a Meta-Policy and Monte-Carlo Planning for Scalable Type-Based Reasoning in Partially Observable Environments9 Jun 2023
- 2023The Update-Equivalence Framework for Decision-Time Planning25 Apr 2023
- 2023Population-based Evaluation in Repeated Rock-Paper-Scissors as a Benchmark for Multiagent Reinforcement Learning2 Mar 2023
- 2023ApproxED: Approximate exploitability descent via learned best responses20 Jan 2023
- 2022Finding mixed-strategy equilibria of continuous-action games without gradients using randomized policy networks29 Nov 2022
- 2022Last-Iterate Convergence with Full and Noisy Feedback in Two-Player Zero-Sum Games21 Aug 2022
- 2022Mutation-Driven Follow the Regularized Leader for Last-Iterate Convergence in Zero-Sum Games18 Jun 2022
- 2022BRExIt: On Opponent Modelling in Expert Iteration31 May 2022
- 2021Search in Imperfect Information Games10 Nov 2021
- 2024Offline Fictitious Self-Play for Competitive Gamescited by 1
- 2024Offline Fictitious Self-Play for Competitive Games29 Feb 2024
- 2023Evaluating Superhuman Models with Consistency Checkscited by 47
- 2023Diversifying AI: Towards Creative Chess with AlphaZerocited by 15
- 2022Last-Iterate Convergence with Full and Noisy Feedback in Two-Player Zero-Sum Gamescited by 9
- 2021Search in Imperfect Information Gamescited by 8
- 2022Mutation-Driven Follow the Regularized Leader for Last-Iterate Convergence in Zero-Sum Gamescited by 8
- 2023Population-based Evaluation in Repeated Rock-Paper-Scissors as a Benchmark for Multiagent Reinforcement Learningcited by 5
- 2023The Adaptive Arms Race: Redefining Robustness in AI Securitycited by 4
- 2024Multi-Agent Diagnostics for Robustness via Illuminated Diversitycited by 4
- 2022BRExIt: On Opponent Modelling in Expert Iterationcited by 2
- 2023The Update-Equivalence Framework for Decision-Time Planningcited by 2
- 2023JiangJun: Mastering Xiangqi by Tackling Non-Transitivity in Two-Player Zero-Sum Gamescited by 2
- 2026Game-Theoretic Co-Evolution for LLM-Based Heuristic Discoverycited by 2
12 most cited of 22 All 22 (JSON)
- 2026Communicating Chess Strategies in Natural Language13 Jul 2026
- 2026How Much Due Diligence Before You Bid? Learning in Intractable Takeover Auctions28 Jun 2026
- 2026A Structural Threshold in Decision Capacity Governs Collapse in Self-Play Reinforcement Learning4 May 2026
- 2026Game-Theoretic Co-Evolution for LLM-Based Heuristic Discovery30 Jan 2026
- 2025Outbidding and Outbluffing Elite Humans: Mastering Liar's Poker via Self-Play and Reinforcement Learning5 Nov 2025
- 2025Beyond Game Theory Optimal: Profit-Maximizing Poker Agents for No-Limit Holdem28 Sep 2025
- 2025On the Power of Perturbation under Sampling in Solving Extensive-Form Games28 Jan 2025
- 2024Learning to Beat ByteRL: Exploitability of Collectible Card Game Agents25 Apr 2024
- 2024Multi-Agent Diagnostics for Robustness via Illuminated Diversity24 Jan 2024
- 2023The Adaptive Arms Race: Redefining Robustness in AI Security20 Dec 2023
- 2023Diversifying AI: Towards Creative Chess with AlphaZero17 Aug 2023
- 2023JiangJun: Mastering Xiangqi by Tackling Non-Transitivity in Two-Player Zero-Sum Games9 Aug 2023
12 newest of 22 All 22 (JSON)