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Bargaining networks model the behavior of a set of players that need to reach pairwise agreements for making profits. Nash bargaining solutions are special outcomes of such games that are both stable and balanced. Kleinberg and Tardos…

Computer Science and Game Theory · Computer Science 2010-05-10 Yashodhan Kanoria , Mohsen Bayati , Christian Borgs , Jennifer Chayes , Andrea Montanari

This paper considers the problem of Nash equilibrium (NE) seeking in aggregative games, where the payoff function of each player depends on an aggregate of all players' actions. We present a distributed continuous time algorithm such that…

Optimization and Control · Mathematics 2019-11-04 Mehran Shakarami , Claudio De Persis , Nima Monshizadeh

The prevailing methodology for analyzing population games and evolutionary dynamics in the large population limit assumes that a Poisson process (or clock) inherent to each agent determines when the agent can revise its strategy. Hence,…

Systems and Control · Electrical Eng. & Systems 2022-04-04 Semih Kara , Nuno C. Martins , Murat Arcak

There has been significant recent progress in algorithms for approximation of Nash equilibrium in large two-player zero-sum imperfect-information games and exact computation of Nash equilibrium in multiplayer strategic-form games. While…

Computer Science and Game Theory · Computer Science 2025-10-01 Sam Ganzfried

This paper considers a class of reinforcement-learning that belongs to the family of Learning Automata and provides a stochastic-stability analysis in strategic-form games. For this class of dynamics, convergence to pure Nash equilibria has…

Computer Science and Game Theory · Computer Science 2017-02-28 Georgios C. Chasparis

We study the evolutionary stability of Nash equilibria (NE) in a symmetric quantum game played by the recently proposed scheme of applying `identity' and `Pauli spin flip' operators on the initial state with classical probabilities. We show…

Quantum Physics · Physics 2009-11-07 A. Iqbal , A. H. Toor

Motivated by applications to data networks where fast convergence is essential, we analyze the problem of learning in generic N-person games that admit a Nash equilibrium in pure strategies. Specifically, we consider a scenario where…

Computer Science and Game Theory · Computer Science 2016-08-01 Johanne Cohen , Amélie Héliou , Panayotis Mertikopoulos

We study stochastic Nash equilibrium problems with expected valued cost functions whose pseudogradient satisfies restricted monotonicity properties which hold only with respect to the solution. We propose a forward-backward algorithm and…

Optimization and Control · Mathematics 2021-11-05 Barbara Franci , Sergio Grammatico

We consider the problem of computing Nash equilibria in potential games where each player's strategy set is subject to private uncoupled constraints. This scenario is frequently encountered in real-world applications like road network…

Computer Science and Game Theory · Computer Science 2024-02-13 Nikolas Patris , Stelios Stavroulakis , Fivos Kalogiannis , Rose Zhang , Ioannis Panageas

In this work, we study the interaction of strategic agents in continuous action Cournot games with limited information feedback. Cournot game is the essential market model for many socio-economic systems where agents learn and compete…

Optimization and Control · Mathematics 2020-09-15 Yuanyuan Shi , Baosen Zhang

We study a dynamic game with a large population of players who choose actions from a finite set in continuous time. Each player has a state in a finite state space that evolves stochastically with their actions. A player's reward depends…

Systems and Control · Electrical Eng. & Systems 2025-11-04 Leonardo Pedroso , Andrea Agazzi , W. P. M. H. Heemels , Mauro Salazar

The study of learning in games typically assumes that each player always has access to all of their actions. However, in many practical scenarios, players' available actions might be restricted due to exogenous stochasticity. To model this…

Computer Science and Game Theory · Computer Science 2026-05-12 Thomas Schwarz , Ryann Sim , Chun Kai Ling

The distributed computation of Nash equilibria is assuming growing relevance in engineering where such problems emerge in the context of distributed control. Accordingly, we present schemes for computing equilibria of two classes of static…

Optimization and Control · Mathematics 2017-10-17 Hao Jiang , Uday V. Shanbhag , Sean P. Meyn

In this paper we consider the problem of finding a Nash equilibrium (NE) via zeroth-order feedback information in games with merely monotone pseudogradient mapping. Based on hybrid system theory, we propose a novel extremum seeking…

Systems and Control · Electrical Eng. & Systems 2021-09-17 Suad Krilašević , Sergio Grammatico

Nash equilibrium is one of the most influential solution concepts in game theory. With the development of computer science and artificial intelligence, there is an increasing demand on Nash equilibrium computation, especially for Internet…

Computer Science and Game Theory · Computer Science 2023-12-19 Hanyu Li , Wenhan Huang , Zhijian Duan , David Henry Mguni , Kun Shao , Jun Wang , Xiaotie Deng

This work proposes a policy learning algorithm for seeking generalised feedback Nash equilibria (GFNE) in $N_P$-player noncooperative dynamic games. We consider linear-quadratic games with stochastic dynamics and design a best-response…

Optimization and Control · Mathematics 2025-06-13 Otacilio B. L. Neto , Michela Mulas , Francesco Corona

Power system operators and electric utility companies often impose a coincident peak demand charge on customers when the aggregate system demand reaches its maximum. This charge incentivizes customers to strategically shift their peak usage…

Systems and Control · Electrical Eng. & Systems 2025-05-16 Liudong Chen , Jay Sethuraman , Bolun Xu

In this work, we investigate the distributed generalized Nash equilibrium (GNE) seeking problems for $N$-coalition games with inequality constraints. First, we study the scenario where each agent in a coalition has full information of all…

Optimization and Control · Mathematics 2021-09-28 Chao Sun , Guoqiang Hu

In this paper, we focus on the stochastic generalized Nash equilibrium problem (SGNEP) which is an important and widely-used model in many different fields. In this model, subject to certain global resource constraints, a set of…

Systems and Control · Electrical Eng. & Systems 2022-02-01 Yuanhanqing Huang , Jianghai Hu

In this paper, a distributed non-model based seeking algorithm which combines the extremum seeking control (ESC) jointly with learning algorithms is proposed to seek a generalized Nash equilibrium (GNE) for a class of noncooperative games…

Optimization and Control · Mathematics 2023-02-27 Feng Xiao , Xin Cai , Bo Wei