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Noncooperative games with uncertain payoffs have been classically studied under the expected-utility theory framework, which relies on the strong assumption that agents behave rationally. However, simple experiments on human decision makers…

Computer Science and Game Theory · Computer Science 2025-08-14 Ashok Krishnan K. S. , Hélène Le Cadre , Ana Bušić

We consider distributed computation of generalized Nash equilibrium (GNE) over networks, in games with shared coupling constraints. Existing methods require that each player has full access to opponents' decisions. In this paper, we assume…

Optimization and Control · Mathematics 2024-10-30 Lacra Pavel

We provide a distributed algorithm to learn a Nash equilibrium in a class of non-cooperative games with strongly monotone mappings and unconstrained action sets. Each player has access to her own smooth local cost function and can…

Optimization and Control · Mathematics 2019-07-17 Tatiana Tatarenko , Angelia Nedich

We propose an integral Nash equilibrium seeking control (I-NESC) law which steers the multi-agent system composed of a special class of linear agents to the neighborhood of the Nash equilibrium in noncooperative strongly monotone games.…

Optimization and Control · Mathematics 2019-11-22 Suad Krilašević , Sergio Grammatico

Dynamic nonzero sum games are widely used to model multi agent decision making in control, economics, and related fields. Classical methods for computing Nash equilibria, especially in linear quadratic settings, rely on strong structural…

Neural and Evolutionary Computing · Computer Science 2026-01-07 Alireza Rezaee

We consider an environment where players are involved in a public goods game and must decide repeatedly whether to make an individual contribution or not. However, players lack strategically relevant information about the game and about the…

Physics and Society · Physics 2015-01-27 Heinrich H. Nax , Matjaz Perc

Nash equilibria are defined using uncorrelated behavioural or mixed joint probability distributions effectively assuming that players of bounded rationality must discard information to locate equilibria. We propose instead that rational…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Kae Nemoto , Michael J Gagen

This paper proposes distributed omniscient observers for both heterogeneous and homogeneous linear multi-agent systems, such that each agent can correctly estimate the states of all agents. The observer design is based on local input-output…

Systems and Control · Electrical Eng. & Systems 2026-02-13 Ganghui Cao , Xunyuan Yin

We provide a novel approach to achieving a desired outcome in a coordination game: the original 2x2 game is embedded in a 2x3 game where one of the players may use a third action. For a large set of payoff values only one of the Nash…

Computer Science and Game Theory · Computer Science 2024-01-22 Sofia B. S. D. Castro

Nash Equilibrium and its robust counterpart, Distributionally Robust Nash Equilibrium (DRNE), are fundamental problems in game theory with applications in economics, engineering, and machine learning. This paper addresses the problem of…

Optimization and Control · Mathematics 2025-10-21 Zeinab Alizadeh , Azadeh Farsi , Afrooz Jalilzadeh

Public goods games study the incentives of individuals to contribute to a public good and their behaviors in equilibria. In this paper, we examine a specific type of public goods game where players are networked and each has binary actions,…

Computer Science and Game Theory · Computer Science 2022-04-04 Sixie Yu , Kai Zhou , P. Jeffrey Brantingham , Yevgeniy Vorobeychik

We construct Nash equilibria in feedback form for a class of two-person stochastic games of singular control with absorption, arising from a stylized model for corporate finance. More precisely, the paper focusses on a strategic dynamic…

Optimization and Control · Mathematics 2025-07-04 Tiziano De Angelis , Fabien Gensbittel , Stéphane Villeneuve

Nash equilibrium is a central concept in game theory. Several Nash solvers exist, yet none scale to normal-form games with many actions and many players, especially those with payoff tensors too big to be stored in memory. In this work, we…

Computer Science and Game Theory · Computer Science 2022-02-07 Ian Gemp , Rahul Savani , Marc Lanctot , Yoram Bachrach , Thomas Anthony , Richard Everett , Andrea Tacchetti , Tom Eccles , János Kramár

This paper investigates the problem of database-assisted spectrum access in dynamic TV white spectrum networks, in which the active user set is varying. Since there is no central controller and information exchange, it encounters dynamic…

Information Theory · Computer Science 2016-11-17 Yuhua Xu , Yitao Xu , Alagan Anpalagan

Probabilistic model checking for stochastic games enables formal verification of systems that comprise competing or collaborating entities operating in a stochastic environment. Despite good progress in the area, existing approaches focus…

Logic in Computer Science · Computer Science 2019-07-09 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos

Game-theoretic approaches and Nash equilibrium have been widely applied across various engineering domains. However, practical challenges such as disturbances, delays, and actuator limitations can hinder the precise execution of Nash…

Computer Science and Game Theory · Computer Science 2026-03-17 Mahdis Rabbani , Navid Mojahed , Shima Nazari

In this paper, we consider a distributed learning problem in a subnetwork zero-sum game, where agents are competing in different subnetworks. These agents are connected through time-varying graphs where each agent has its own cost function…

Optimization and Control · Mathematics 2021-08-05 Shijie Huang , Jinlong Lei , Yiguang Hong , Uday V. Shanbhag , Jie Chen

We consider a Gaussian interference channel with independent direct and cross link channel gains, each of which is independent and identically distributed across time. Each transmitter-receiver user pair aims to maximize its long-term…

Information Theory · Computer Science 2016-02-01 Krishna Chaitanya A , Utpal Mukherji , Vinod Sharma

This paper investigates a resilient distributed Nash equilibrium (NE) seeking problem on a directed communication network subject to malicious cyber-attacks. The considered attacks, named as Denial-of-Service (DoS) attacks, are allowed to…

Systems and Control · Electrical Eng. & Systems 2020-09-23 Zhi Feng , Guoqiang Hu

This paper investigates design of noncooperative games from an optimization and control theoretic perspective. Pricing mechanisms are used as a design tool to ensure that the Nash equilibrium of a fairly general class of noncooperative…

Computer Science and Game Theory · Computer Science 2010-07-02 Tansu Alpcan , Lacra Pavel , Nem Stefanovic
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