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Game theory is a foundational framework for analyzing strategic interactions, and its intersection with large language models (LLMs) is a rapidly growing field.
Equilibrium points in n-person games
John F Nash Jr · 1950
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A value for n-person games
Lloyd S Shapley · 1953
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Counterspeculation, auctions, and competitive sealed tenders
William Vickrey · 1961
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Social choice theory
Amartya Sen · 1986
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Theory of games and economic behavior: 60th anniversary commemorative edition
John Von Neumann and Oskar Morgenstern · 2007
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Interpretability of deep learning models: A survey of results
Supriyo Chakraborty, Richard Tomsett, Ramya Raghavendra, Daniel Harborne, Moustafa Alzantot, Federico Cerutti, Mani Srivastava, Alun Preece, Simon Julier, Raghuveer M Rao, et al · 2017
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A unified approach to interpreting model predictions
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Visual interpretability for deep learning: a survey
Quan-shi Zhang and Song-Chun Zhu · 2018
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Information design: A unified perspective
Dirk Bergemann and Stephen Morris · 2019
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Data shapley: Equitable valuation of data for machine learning
Amirata Ghorbani and James Zou · 2019
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A survey of defensive deception: Approaches using game theory and machine learning
Mu Zhu, Ahmed H Anwar, Zelin Wan, Jin-Hee Cho, Charles A Kamhoua, and Munindar P Singh · 2021
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Manipulating and measuring model interpretability
Forough Poursabzi-Sangdeh, Daniel G Goldstein, Jake M Hofman, Jennifer Wortman Wortman Vaughan, and Hanna Wallach · 2021
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Applications of game theory in deep learning: a survey
Tanmoy Hazra and Kushal Anjaria · 2022
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Large language models are zero-shot reasoners
Takeshi Kojima, Shixiang Shane Gu, Machel Reid, Yutaka Matsuo, and Yusuke Iwasawa · 2022
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Training language models to follow instructions with human feedback
Long Ouyang, Jeffrey Wu, Xu Jiang, Diogo Almeida, Carroll Wainwright, Pamela Mishkin, Chong Zhang, Sandhini Agarwal, Katarina Slama, Alex Gray, John Schulman, Jacob Hilton, Fraser Kelton, Luke Miller, Maddie Simens, Amanda Askell, Peter Welinder, Paul Christiano, Jan Leike, and Ryan Lowe · 2022
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Defining and characterizing reward gaming
Joar Skalse, Nikolaus Howe, Dmitrii Krasheninnikov, and David Krueger · 2022
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Llama: Open and efficient foundation language models
Hugo Touvron, Thibaut Lavril, Gautier Izacard, Xavier Martinet, Marie-Anne Lachaux, Timothée Lacroix, Baptiste Rozière, Naman Goyal, Eric Hambro, Faisal Azhar, et al · 2023
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Josh Achiam, Steven Adler, Sandhini Agarwal, Lama Ahmad, Ilge Akkaya, Florencia Leoni Aleman, Diogo Almeida, Janko Altenschmidt, Sam Altman, Shyamal Anadkat, et al · 2023
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Gemini: a family of highly capable multimodal models
Gemini Team, Rohan Anil, Sebastian Borgeaud, Jean-Baptiste Alayrac, Jiahui Yu, Radu Soricut, Johan Schalkwyk, Andrew M Dai, Anja Hauth, Katie Millican, et al · 2023
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Improving language model negotiation with self-play and in-context learning from ai feedback, 2023
Yao Fu, Hao Peng, Tushar Khot, and Mirella Lapata · 2023
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Gpt in game theory experiments, 2023
Fulin Guo · 2023
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Large language models as simulated economic agents: What can we learn from homo silicus?
John J Horton · 2023
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From text to tactic: Evaluating LLMs playing the game of avalon
Jonathan Light, Min Cai, Sheng Shen, and Ziniu Hu · 2023
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ChessGPT: Bridging policy learning and language modeling
Xidong Feng, Yicheng Luo, Ziyan Wang, Hongrui Tang, Mengyue Yang, Kun Shao, David Henry Mguni, Yali Du, and Jun Wang · 2023
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Strategic reasoning with language models
Kanishk Gandhi, Dorsa Sadigh, and Noah Goodman · 2023
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Gameeval: Evaluating llms on conversational games
Dan Qiao, Chenfei Wu, Yaobo Liang, Juntao Li, and Nan Duan · 2023
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Welfare diplomacy: Benchmarking language model cooperation
Gabriel Mukobi, Hannah Erlebach, Niklas Lauffer, Lewis Hammond, Alan Chan, and Jesse Clifton · 2023
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Self-consistency improves chain of thought reasoning in language models
Xuezhi Wang, Jason Wei, Dale Schuurmans, Quoc V Le, Ed H. Chi, Sharan Narang, Aakanksha Chowdhery, and Denny Zhou · 2023
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Tree of thoughts: Deliberate problem solving with large language models
Shunyu Yao, Dian Yu, Jeffrey Zhao, Izhak Shafran, Tom Griffiths, Yuan Cao, and Karthik Narasimhan · 2023
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Reward design with language models
Minae Kwon, Sang Michael Xie, Kalesha Bullard, and Dorsa Sadigh · 2023
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Toolformer: Language models can teach themselves to use tools
Timo Schick, Jane Dwivedi-Yu, Roberto Dessì, Roberta Raileanu, Maria Lomeli, Eric Hambro, Luke Zettlemoyer, Nicola Cancedda, and Thomas Scialom · 2023
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Prompt valuation based on shapley values
Hanxi Liu, Xiaokai Mao, Haocheng Xia, Jian Lou, and Jinfei Liu · 2023
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Shapley head pruning: Identifying and removing interference in multilingual transformers
William Held and Diyi Yang · 2023
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Efficient shapley values estimation by amortization for text classification
Chenghao Yang, Fan Yin, He He, Kai-Wei Chang, Xiaofei Ma, and Bing Xiang · 2023
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When the majority is wrong: Modeling annotator disagreement for subjective tasks
Eve Fleisig, Rediet Abebe, and Dan Klein · 2023
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Ai alignment and social choice: Fundamental limitations and policy implications
Abhilash Mishra · 2023
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Llms at the bargaining table
Yuan Deng, Vahab Mirrokni, Renato Paes Leme, Hanrui Zhang, and Song Zuo · 2024
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Put your money where your mouth is: Evaluating strategic planning and execution of LLM agents in an auction arena
Jiangjie Chen, Siyu Yuan, Rong Ye, Bodhisattwa Prasad Majumder, and Kyle Richardson · 2024
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Measuring bargaining abilities of LLMs: A benchmark and a buyer-enhancement method
Tian Xia, Zhiwei He, Tong Ren, Yibo Miao, Zhuosheng Zhang, Yang Yang, and Rui Wang · 2024
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Deciphering digital detectives: Understanding llm behaviors and capabilities in multi-agent mystery games
Dekun Wu, Haochen Shi, Zhiyuan Sun, and Bang Liu · 2024
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Textgenshap: Scalable post-hoc explanations in text generation with long documents
James Enouen, Hootan Nakhost, Sayna Ebrahimi, Sercan Arik, Yan Liu, and Tomas Pfister · 2024
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Axioms for ai alignment from human feedback
Luise Ge, Daniel Halpern, Evi Micha, Ariel D. Procaccia, Itai Shapira, Yevgeniy Vorobeychik, and Junlin Wu · 2024
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Nash learning from human feedback
Remi Munos, Michal Valko, Daniele Calandriello, Mohammad Gheshlaghi Azar, Mark Rowland, Zhaohan Daniel Guo, Yunhao Tang, Matthieu Geist, Thomas Mesnard, Côme Fiegel, et al · 2024
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Fine-tuning games: Bargaining and adaptation for general-purpose models
Benjamin Laufer, Jon Kleinberg, and Hoda Heidari · 2024
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Mechanism design for large language models
Paul Duetting, Vahab Mirrokni, Renato Paes Leme, Haifeng Xu, and Song Zuo · 2024
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Human vs. generative ai in content creation competition: Symbiosis or conflict?
Fan Yao, Chuanhao Li, Denis Nekipelov, Hongning Wang, and Haifeng Xu · 2024
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Eliciting informative text evaluations with large language models
Yuxuan Lu, Shengwei Xu, Yichi Zhang, Yuqing Kong, and Grant Schoenebeck · 2024
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Helmsman of the masses? evaluate the opinion leadership of large language models in the werewolf game
Silin Du and Xiaowei Zhang · 2024
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Let’s negotiate! a survey of negotiation dialogue systems
Haolan Zhan, Yufei Wang, Zhuang Li, Tao Feng, Yuncheng Hua, Suraj Sharma, Lizhen Qu, Zhaleh Semnani-Azad, Ingrid Zukerman, and Reza Haffari · 2024
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Yauwai Yim, Chunkit Chan, Tianyu Shi, Zheye Deng, Wei Fan, Tianshi Zheng, and Yangqiu Song · 2024
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Cooperate or collapse: Emergence of sustainable cooperation in a society of LLM agents
Giorgio Piatti, Zhijing Jin, Max Kleiman-Weiner, Bernhard Schölkopf, Mrinmaya Sachan, and Rada Mihalcea · 2024
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Evaluating language model agency through negotiations
Tim Ruben Davidson, Veniamin Veselovsky, Michal Kosinski, and Robert West · 2024
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Economics arena for large language models
Shangmin Guo, Haochuan Wang, Haoran Bu, Yi Ren, Dianbo Sui, Yu-Ming Shang, and Siting Estee Lu · 2024
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Generative ai as economic agents
Nicole Immorlica, Brendan Lucier, and Aleksandrs Slivkins · 2024
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LLMArena: Assessing capabilities of large language models in dynamic multi-agent environments
Junzhe Chen, Xuming Hu, Shuodi Liu, Shiyu Huang, Wei-Wei Tu, Zhaofeng He, and Lijie Wen · 2024
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Playing games with gpt: What can we learn about a large language model from canonical strategic games?
Philip Brookins and Jason DeBacker · 2024
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LLM economicus? mapping the behavioral biases of LLMs via utility theory
Jillian Ross, Yoon Kim, and Andrew Lo · 2024
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A turing test of whether ai chatbots are behaviorally similar to humans
Qiaozhu Mei, Yutong Xie, Walter Yuan, and Matthew O. Jackson · 2024
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Smartplay : A benchmark for LLMs as intelligent agents
Yue Wu, Xuan Tang, Tom Mitchell, and Yuanzhi Li · 2024
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Large language models playing mixed strategy nash equilibrium games
Alonso Silva · 2024
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Reta: Recursively thinking ahead to improve the strategic reasoning of large language models
Jinhao Duan, Shiqi Wang, James Diffenderfer, Lichao Sun, Tianlong Chen, Bhavya Kailkhura, and Kaidi Xu · 2024
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Can large language models serve as rational players in game theory? a systematic analysis
Caoyun Fan, Jindou Chen, Yaohui Jin, and Hao He · 2024
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Strategic behavior of large language models and the role of game structure versus contextual framing
Nunzio Lorè and Babak Heydari · 2024
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Werewolf game agent by generative AI incorporating logical information between players
Neo Watanabe and Yoshinobu Kano · 2024
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Werewolf arena: A case study in llm evaluation via social deduction, 2024
Suma Bailis, Jane Friedhoff, and Feiyang Chen · 2024
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InterIntent: Investigating social intelligence of LLMs via intention understanding in an interactive game context
Ziyi Liu, Abhishek Anand, Pei Zhou, Jen-tse Huang, and Jieyu Zhao · 2024
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LLM-deliberation: Evaluating LLMs with interactive multi-agent negotiation game
Sahar Abdelnabi, Amr Gomaa, Sarath Sivaprasad, Lea Schönherr, and Mario Fritz · 2024
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Richelieu: self-evolving llm-based agents for ai diplomacy
Zhenyu Guan, Xiangyu Kong, Fangwei Zhong, and Yizhou Wang · 2024
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Simulating human strategic behavior: Comparing single and multi-agent llms, 2024
Karthik Sreedhar and Lydia Chilton · 2024
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MAgIC: Investigation of large language model powered multi-agent in cognition, adaptability, rationality and collaboration
Lin Xu, Zhiyuan Hu, Daquan Zhou, Hongyu Ren, Zhen Dong, Kurt Keutzer, See-Kiong Ng, and Jiashi Feng · 2024
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Pandora box or golden fleece: Economic analysis of generative ai adoption on creation platforms
Yi Gao, Zhe Wang, and Yan Huang · 2024
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How to strategize human content creation in the era of genai?
Seyed A Esmaeili, Kshipra Bhawalkar, Zhe Feng, Di Wang, and Haifeng Xu · 2024
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Natural language mechanisms via self-resolution with foundation models
Nicolas Della Penna · 2024
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Playing repeated games with large language models
Elif Akata, Lion Schulz, Julian Coda-Forno, Seong Joon Oh, Matthias Bethge, and Eric Schulz · 2025
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K-level reasoning: Establishing higher order beliefs in large language models for strategic reasoning
Yadong Zhang, Shaoguang Mao, Tao Ge, Xun Wang, Yan Xia, Man Lan, and Furu Wei · 2025
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Steve Phelps and Yvan I. Russell · 2024
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GTBench: Uncovering the strategic reasoning capabilities of LLMs via game-theoretic evaluations
Jinhao Duan, Renming Zhang, James Diffenderfer, Bhavya Kailkhura, Lichao Sun, Elias Stengel-Eskin, Mohit Bansal, Tianlong Chen, and Kaidi Xu · 2024
Cited alongside, same era.
Game-theoretic llm: Agent workflow for negotiation games
Wenyue Hua, Ollie Liu, Lingyao Li, Alfonso Amayuelas, Julie Chen, Lucas Jiang, Mingyu Jin, Lizhou Fan, Fei Sun, William Wang, et al · 2024
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Oguzhan Topsakal, Colby Jacob Edell, and Jackson Bailey Harper · 2024
Cited alongside, same era.
LLM-based agent society investigation: Collaboration and confrontation in avalon gameplay
Yihuai Lan, Zhiqiang Hu, Lei Wang, Yang Wang, Deheng Ye, Peilin Zhao, Ee-Peng Lim, Hui Xiong, and Hao Wang · 2024
Cited alongside, same era.
How well can LLMs negotiate? NegotiationArena platform and analysis
Federico Bianchi, Patrick John Chia, Mert Yuksekgonul, Jacopo Tagliabue, Dan Jurafsky, and James Zou · 2024
Cited alongside, same era.
Glee: A unified framework and benchmark for language-based economic environments
Eilam Shapira, Omer Madmon, et al · 2024
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Llm-powered preference elicitation in combinatorial assignment
Ermis Soumalias, Yanchen Jiang, Kehang Zhu, Michael Curry, Sven Seuken, and David C Parkes · 2025
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A survey on large language model-based social agents in game-theoretic scenarios
Xiachong Feng, Longxu Dou, Ella Li, Qinghao Wang, Haochuan Wang, Yu Guo, Chang Ma, and Lingpeng Kong · 2025
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Beyond nash equilibrium: Bounded rationality of llms and humans in strategic decision-making, 2025
Kehan Zheng, Jinfeng Zhou, and Hongning Wang · 2025
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Playing games with large language models: Randomness and strategy, 2025
Alicia Vidler and Toby Walsh · 2025
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Pokerbench: Training large language models to become professional poker players
Richard Zhuang, Akshat Gupta, Richard Yang, Aniket Rahane, Zhengyu Li, and Gopala Anumanchipalli · 2025
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Nicer than humans: How do large language models behave in the prisoner’s dilemma?
Nicolò Fontana, Francesco Pierri, and Luca Maria Aiello · 2025
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Will systems of llm agents cooperate: An investigation into a social dilemma
Richard Willis, Yali Du, Joel Z Leibo, and Michael Luck · 2025
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Large language model strategic reasoning evaluation through behavioral game theory, 2025
Jingru Jia, Zehua Yuan, Junhao Pan, Paul E. McNamara, and Deming Chen · 2025
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Fairgame: a framework for ai agents bias recognition using game theory, 2025
Alessio Buscemi, Daniele Proverbio, Alessandro Di Stefano, The Anh Han, German Castignani, and Pietro Liò · 2025
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LLM-coordination: Evaluating and analyzing multi-agent coordination abilities in large language models
Saaket Agashe, Yue Fan, Anthony Reyna, and Xin Eric Wang · 2025
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Explaining decisions of agents in mixed-motive games
Maayan Orner, Oleg Maksimov, Akiva Kleinerman, Charles Ortiz, and Sarit Kraus · 2025
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Empowering LLMs in decision games through algorithmic data synthesis
Haolin Wang, Xueyan Li, Yazhe Niu, Shuai Hu, and Hongsheng Li · 2025
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ALYMPICS: LLM agents meet game theory
Shaoguang Mao, Yuzhe Cai, Yan Xia, Wenshan Wu, Xun Wang, Fengyi Wang, Qiang Guan, Tao Ge, and Furu Wei · 2025
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lmgame-bench: How good are llms at playing games?, 2025
Lanxiang Hu, Mingjia Huo, Yuxuan Zhang, Haoyang Yu, Eric P. Xing, Ion Stoica, Tajana Rosing, Haojian Jin, and Hao Zhang · 2025
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Game of thoughts: Iterative reasoning in game-theoretic domains with large language models
Benjamin Kempinski, Ian Gemp, Kate Larson, Marc Lanctot, Yoram Bachrach, and Tal Kachman · 2025
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Dixiao Wei, Peng Yi, Jinlong Lei, Yiguang Hong, and Yuchuan Du · 2025
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Efficient shapley value-based non-uniform pruning of large language models
Chuan Sun, Han Yu, and Lizhen Cui · 2025
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Negotiative alignment: Embracing disagreement to achieve fairer outcomes–insights from urban studies
Rashid Mushkani, Hugo Berard, and Shin Koseki · 2025
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Decoding game: On minimax optimality of heuristic text generation strategies
Sijin Chen, Omar Hagrass, and Jason M Klusowski · 2025
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Document valuation in llm summaries: A cluster shapley approach
Zikun Ye and Hema Yoganarasimhan · 2025
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Scar: Shapley credit assignment for more efficient rlhf
Meng Cao, Shuyuan Zhang, Xiao-Wen Chang, and Doina Precup · 2025
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Linguistically grounded analysis of language models using shapley head values
Marcell Fekete and Johannes Bjerva · 2025
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Who’s the mvp? a game-theoretic evaluation benchmark for modular attribution in llm agents, 2025
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Self-play preference optimization for language model alignment
Yue Wu, Zhiqing Sun, Huizhuo Yuan, Kaixuan Ji, Yiming Yang, and Quanquan Gu · 2025
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Iterative nash policy optimization: Aligning llms with general preferences via no-regret learning
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Accelerating nash learning from human feedback via mirror prox
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Game-theoretic regularized self-play alignment of large language models
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Fundamental limits of game-theoretic llm alignment: Smith consistency and preference matching
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Direct alignment with heterogeneous preferences
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Distributive fairness in large language models: Evaluating alignment with human values
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Stackelberg game preference optimization for data-efficient alignment of language models
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Reward-guided prompt evolving in reinforcement learning for llms
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Strategic llm decoding through bayesian games
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From debate to equilibrium: Belief-driven multi-agent LLM reasoning via bayesian nash equilibrium
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Strategyproof reinforcement learning from human feedback
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Data sharing with a generative ai competitor
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The Economics of Large Language Models: Token Allocation, Fine-Tuning, and Optimal Pricing
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Ads in conversations
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Selective Response Strategies for GenAI
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Human decision-making is susceptible to ai-driven manipulation
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Accelerated preference elicitation with llm-based proxies
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Too much information? investigating information disclosure in auction systems with llm simulations
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