Monopoly Deal: A Benchmark Environment for Bounded One-Sided Response Games
Not on the map. Why?
Abstract (arXiv)
Card games are widely used to study sequential decision-making under uncertainty, with real-world analogues in negotiation, finance, and cybersecurity. These games typically fall into three categories based on the flow of control: strictly sequential (players alternate single actions), deterministic response (some actions trigger a fixed outcome), and unbounded reciprocal response (alternating counterplays are permitted). A less-explored but strategically rich structure is the bounded one-sided response, where a player's action briefly transfers control to the opponent, who must satisfy a fixed condition through one or more moves before the turn resolves. We term games featuring this mechanism Bounded One-Sided Response Games (BORGs). We introduce a modified version of Monopoly Deal as a benchmark environment that isolates this dynamic, where a Rent action forces the opponent to choose payment assets. The gold-standard algorithm, Counterfactual Regret Minimization (CFR), converges on effective strategies without novel algorithmic extensions. A lightweight full-stack research platform unifies the environment, a parallelized CFR runtime, and a human-playable web interface. The trained CFR agent and source code are available at https://monopolydeal.ai.
Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 10 of its 27 references that are in the map. First posted on arXiv 29 Oct 2025.
Builds on
10 of 27 references.
References · 10
- 2017Deep Reinforcement Learning that Matterscited by 754
- 2017DeepStack: Expert-Level Artificial Intelligence in No-Limit Pokercited by 233
- 2020PettingZoo: Gym for Multi-Agent Reinforcement Learningcited by 220
- 2019The Hanabi Challenge: A New Frontier for AI Researchcited by 197
- 2019OpenSpiel: A Framework for Reinforcement Learning in Gamescited by 186
- 2020Combining Deep Reinforcement Learning and Search for Imperfect-Information Gamescited by 114
- 2018Deep Counterfactual Regret Minimizationcited by 103
- 2020Sample Factory: Egocentric 3D Control from Pixels at 100000 FPS with Asynchronous Reinforcement Learningcited by 93
- 2018Solving Imperfect-Information Games via Discounted Regret Minimizationcited by 68
- 2017ELF: An Extensive, Lightweight and Flexible Research Platform for Real-time Strategy Gamescited by 17
Built on by
Not cited yet.