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In this paper, we study finite-agent linear-quadratic games on graphs. Specifically, we propose a comprehensive framework that extends the existing literature by incorporating heterogeneous and interpretable player interactions. Compared to…

Optimization and Control · Mathematics 2025-11-19 Ruimeng Hu , Jihao Long , Haosheng Zhou

While the classic Vickrey-Clarke-Groves mechanism ensures incentive compatibility for a static one-shot game, it does not appear to be feasible to construct a dominant truth-telling mechanism for agents that are stochastic dynamic systems.…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Ke Ma , P. R. Kumar

Many real-world scenarios involve teams of agents that have to coordinate their actions to reach a shared goal. We focus on the setting in which a team of agents faces an opponent in a zero-sum, imperfect-information game. Team members can…

Multiagent Systems · Computer Science 2021-02-10 Federico Cacciamani , Andrea Celli , Marco Ciccone , Nicola Gatti

We consider 2-player games played on a finite state space for infinite rounds. The games are concurrent: in each round, the two players choose their moves simultaneously; the current state and the moves determine the successor. We consider…

Computer Science and Game Theory · Computer Science 2013-06-21 Krishnendu Chatterjee

We consider the problem of computing the set of initial states of a dynamical system such that there exists a control strategy to ensure that the trajectories satisfy a temporal logic specification with probability 1 (almost-surely). We…

Systems and Control · Computer Science 2015-02-24 Maria Svorenova , Jan Kretinsky , Martin Chmelik , Krishnendu Chatterjee , Ivana Cerna , Calin Belta

We describe a formulation of multi-agents operating within a Cyber-Physical System, resulting in collaborative or adversarial games. We show that the non-determinism inherent in the communication medium between agents and the underlying…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-09 Warisa Sritriratanarak , Paulo Garcia

We provide, to the best of our knowledge, the first computational study of extensive-form adversarial team games. These games are sequential, zero-sum games in which a team of players, sharing the same utility function, faces an adversary.…

Artificial Intelligence · Computer Science 2017-11-21 Andrea Celli , Nicola Gatti

We consider two-player zero-sum concurrent stochastic games (CSGs) played on graphs with reachability and safety objectives. These include degenerate classes such as Markov decision processes or turn-based stochastic games, which can be…

Logic in Computer Science · Computer Science 2025-09-11 Marta Grobelna , Jan Křetínský , Maximilian Weininger

A classic model to study strategic decision making in multi-agent systems is the normal-form game. This model can be generalised to allow for an infinite number of pure strategies leading to continuous games. Multi-objective normal-form…

Computer Science and Game Theory · Computer Science 2023-03-02 Willem Röpke , Carla Groenland , Roxana Rădulescu , Ann Nowé , Diederik M. Roijers

Prior work on automatic control synthesis for cyber-physical systems under logical constraints has primarily focused on environmental disturbances or modeling uncertainties, however, the impact of deliberate and malicious attacks has been…

Systems and Control · Electrical Eng. & Systems 2019-07-25 Luyao Niu , Andrew Clark

Game semantics is a powerful method of semantic analysis for programming languages. It gives mathematically accurate models ("fully abstract") for a wide variety of programming languages. Game semantic models are combinatorial…

Programming Languages · Computer Science 2017-12-04 Dan R. Ghica , Khulood Alyahya

In this paper, we consider distributed decision-making over stochastic communication links in multi-agent systems. We show how to extend the current literature on potential games with binary log-linear learning (which mainly focuses on…

Multiagent Systems · Computer Science 2014-12-16 Arjun Muralidharan , Yuan Yan , Yasamin Mostofi

We introduce and study a class of infinite-horizon non-zero-sum non-cooperative stochastic games with infinitely many interacting agents using ideas of statistical mechanics. First we show, in the general case of asymmetric interactions,…

Probability · Mathematics 2007-08-16 Emilio De Santis , Carlo Marinelli

Coordination games with explicit spatial or relational structure are of interest to economists, ecologists, sociologists, and others studying emergent global properties in collective behavior. When assemblies of individuals seek to…

Dynamical Systems · Mathematics 2025-06-18 John S. McAlister , Nina H. Fefferman , Tadele A. Mengesha

In game theory, a trusted mediator acting on behalf of the players can enable the attainment of correlated equilibria, which may provide better payoffs than those available from the Nash equilibria alone. We explore the approach of…

Cryptography and Security · Computer Science 2013-11-08 Ye Wang , Shantanu Rane , Prakash Ishwar

Our ability to know when to trust the decisions made by machine learning systems has not kept up with the staggering improvements in their performance, limiting their applicability in high-stakes domains. We introduce Prover-Verifier Games…

Machine Learning · Computer Science 2021-08-30 Cem Anil , Guodong Zhang , Yuhuai Wu , Roger Grosse

We introduce a class of learning problems where the agent is presented with a series of tasks. Intuitively, if there is relation among those tasks, then the information gained during execution of one task has value for the execution of…

Machine Learning · Computer Science 2012-09-06 Christos Dimitrakakis

LLMs-based agents increasingly operate in multi-agent environments where strategic interaction and coordination are required. While existing work has largely focused on individual agents or on interacting agents sharing explicit…

Multiagent Systems · Computer Science 2026-04-21 Alessio Buscemi , Daniele Proverbio , Alessandro Di Stefano , The-Anh Han , German Castignani , Pietro Liò

Large language models (LLMs) have demonstrated strong reasoning, planning, and communication abilities, enabling them to operate as autonomous agents in open environments. While single-agent systems remain limited in adaptability and…

Multiagent Systems · Computer Science 2026-01-22 Jianing Hao , Han Ding , Yuanjian Xu , Tianze Sun , Ran Chen , Wanbo Zhang , Guang Zhang , Siguang Li

Large Language Model (LLM) agents are increasingly deployed in multi-agent systems requiring strategic coordination. While recent work has analyzed LLM behavior in two-player games, coalition formation, where $n$ agents dynamically form…

Computer Science and Game Theory · Computer Science 2026-04-17 Dongxin Guo , Jikun Wu , Siu-Ming Yiu