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Multi-agent influence diagrams (MAIDs) are probabilistic graphical models which represent strategic interactions between agents. MAIDs are equivalent to extensive form games (EFGs) but have a more compact and informative structure. However,…

Artificial Intelligence · Computer Science 2025-03-11 Jack Foxabbott , Rohan Subramani , Francis Rhys Ward

Multi-agent influence diagrams (MAIDs) are a popular game-theoretic model based on Bayesian networks. In some settings, MAIDs offer significant advantages over extensive-form game representations. Previous work on MAIDs has assumed that…

Computer Science and Game Theory · Computer Science 2023-07-12 James Fox , Matt MacDermott , Lewis Hammond , Paul Harrenstein , Alessandro Abate , Michael Wooldridge

Decentralized Finance (DeFi) governance models have become increasingly complex due to the involvement of numerous independent agents, each with their own incentives and strategies. To effectively analyze these systems, we propose using…

Computer Science and Game Theory · Computer Science 2024-10-17 Abhimanyu Nag , Samrat Gupta , Sudipan Sinha , Arka Datta

We present an algorithm that identifies the reasoning patterns of agents in a game, by iteratively examining the graph structure of its Multi-Agent Influence Diagram (MAID) representation. If the decision of an agent participates in no…

Computer Science and Game Theory · Computer Science 2012-06-18 Dimitrios Antos , Avi Pfeffer

In this paper we introduce temporal action graph games (TAGGs), a novel graphical representation of imperfect-information extensive form games. We show that when a game involves anonymity or context-specific utility independencies, its…

Computer Science and Game Theory · Computer Science 2012-05-14 Albert Xin Jiang , Kevin Leyton-Brown , Avi Pfeffer

Structured game representations have recently attracted interest as models for multi-agent artificial intelligence scenarios, with rational behavior most commonly characterized by Nash equilibria. This paper presents efficient, exact…

Computer Science and Game Theory · Computer Science 2011-10-27 B. Blum , D. Koller , C. R. Shelton

Mean Field Games (MFG) are the class of games with a very large number of agents and the standard equilibrium concept is a Mean Field Equilibrium (MFE). Algorithms for learning MFE in dynamic MFGs are unknown in general. Our focus is on an…

Optimization and Control · Mathematics 2021-02-02 Kiyeob Lee , Desik Rengarajan , Dileep Kalathil , Srinivas Shakkottai

This paper presents Networks of Influence Diagrams (NID), a compact, natural and highly expressive language for reasoning about agents beliefs and decision-making processes. NIDs are graphical structures in which agents mental models are…

Computer Science and Game Theory · Computer Science 2014-01-16 Yaakov Gal , Avi Pfeffer

We propose a game-theoretic framework for adaptive multi-agent intelligent systems. Unlike classical game theory, which often treats strategies as primitive objects chosen by perfectly rational agents, the proposed framework provides a…

Neural and Evolutionary Computing · Computer Science 2026-05-12 Zhe Sage Chen , Quanyan Zhu

We study discrete-time, finite-state mean-field games (MFGs) under model uncertainty, where agents face ambiguity about the state transition probabilities. Each agent maximizes its expected payoff against the worst-case transitions within…

Optimization and Control · Mathematics 2026-01-21 Zongxia Liang , Zhou Zhou , Yaqi Zhuang , Bin Zou

Strategic interactions can be represented more concisely, and analyzed and solved more efficiently, if we are aware of the symmetries within the multiagent system. Symmetries also have conceptual implications, for example for equilibrium…

Computer Science and Game Theory · Computer Science 2025-03-03 Emanuel Tewolde , Brian Hu Zhang , Caspar Oesterheld , Tuomas Sandholm , Vincent Conitzer

Steering cooperative multi-agent reinforcement learning (MARL) towards desired outcomes is challenging, particularly when the global guidance from a human on the whole multi-agent system is impractical in a large-scale MARL. On the other…

Artificial Intelligence · Computer Science 2025-11-07 Anjie Liu , Jianhong Wang , Samuel Kaski , Jun Wang , Mengyue Yang

We propose a simple uncertainty modification for the agent model in normal-form games; at any given strategy profile, the agent can access only a set of "possible profiles" that are within a certain distance from the actual action profile.…

Computer Science and Game Theory · Computer Science 2020-02-11 Erman Acar , Reshef Meir

We focus on the problem of sequential decision making in partially observable environments shared with other agents of uncertain types having similar or conflicting objectives. This problem has been previously formalized by multiple…

Artificial Intelligence · Computer Science 2014-01-21 Yifeng Zeng , Prashant Doshi

Automated game balancing has often focused on single-agent scenarios. In this paper we present a tool for balancing multi-player games during game design. Our approach requires a designer to construct an intuitive graphical representation…

Artificial Intelligence · Computer Science 2020-10-05 Daniel Hernandez , Charles Takashi Toyin Gbadamosi , James Goodman , James Alfred Walker

We investigate an infinite-horizon time-inconsistent mean-field game (MFG) in a discrete time setting. We first present a classic equilibrium for the MFG and its associated existence result. This classic equilibrium aligns with the…

Optimization and Control · Mathematics 2024-09-13 Erhan Bayraktar , Zhenhua Wang

We consider a class of mean field games in which the agents interact through both their states and controls, and we focus on situations in which a generic agent tries to adjust her speed (control) to an average speed (the average is made in…

Analysis of PDEs · Mathematics 2020-03-10 Y Achdou , Z Kobeissi

We introduce Game networks (G nets), a novel representation for multi-agent decision problems. Compared to other game-theoretic representations, such as strategic or extensive forms, G nets are more structured and more compact; more…

Computer Science and Game Theory · Computer Science 2024-01-18 Pierfrancesco La Mura

We introduce the class of modified Schelling games in which there are different types of agents who occupy the nodes of a location graph; agents of the same type are friends, and agents of different types are enemies. Every agent is…

Computer Science and Game Theory · Computer Science 2020-05-26 Panagiotis Kanellopoulos , Maria Kyropoulou , Alexandros A. Voudouris

Training multi-agent systems (MAS) to achieve realistic equilibria gives us a useful tool to understand and model real-world systems. We consider a general sum partially observable Markov game where agents of different types share a single…

Multiagent Systems · Computer Science 2020-10-26 Nelson Vadori , Sumitra Ganesh , Prashant Reddy , Manuela Veloso
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