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In the context of large population symmetric games, approximate Nash equilibria are introduced through equilibrium solutions of the corresponding mean field game in the sense that the individual gain from optimal unilateral deviation under…

Computer Science and Game Theory · Computer Science 2026-01-30 Mao Fabrice Djete , Nizar Touzi

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

Games with incomplete preferences are an important model for studying rational decision-making in scenarios where players face incomplete information about their preferences and must contend with incomparable outcomes. We study the problem…

Computer Science and Game Theory · Computer Science 2024-08-13 Abhishek N. Kulkarni , Jie Fu , Ufuk Topcu

People choose their strategies through a trial-and-error learning process in which they gradually discover that some strategies work better than others. The process can be modelled as an evolutionary game dynamics system, which may be…

Theoretical Economics · Economics 2023-02-21 Wang Zhijian

This paper considers the noncooperative maximization of mutual information in the Gaussian interference channel in a fully distributed fashion via game theory. This problem has been studied in a number of papers during the past decade for…

Information Theory · Computer Science 2016-11-17 Gesualdo Scutari , Daniel P. Palomar , Sergio Barbarossa

We introduce a novel class of Nash equilibrium seeking dynamics for non-cooperative games with a finite number of players, where the convergence to the Nash equilibrium is bounded by a KL function with a settling time that can be upper…

Optimization and Control · Mathematics 2020-12-25 Jorge I. Poveda , Miroslav Krstic , Tamer Basar

This paper considers a class of strategic scenarios in which two networks of agents have opposing objectives with regards to the optimization of a common objective function. In the resulting zero-sum game, individual agents collaborate with…

Optimization and Control · Mathematics 2012-12-24 Bahman Gharesifard , Jorge Cortes

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`s classical bargaining solution suggests that n players in a non-cooperative bargaining situation should find a solution that maximizes the product of each player's utility functions. We consider a special case: Suppose that the…

Analysis of PDEs · Mathematics 2017-12-21 Micah Warren

We study stochastic mean-field games among finite number of teams with large finite as well as infinite number of decision makers. For this class of games within static and dynamic settings, we establish the existence of a Nash equilibrium,…

Optimization and Control · Mathematics 2022-11-11 Sina Sanjari , Naci Saldi , Serdar Yüksel

Of paramount importance in both ecological systems and economic policies are the problems of harvesting of natural resources. A paradigmatic situation where this question is raised is that of fishing strategies. Indeed, overfishing is a…

Optimization and Control · Mathematics 2022-03-23 Idriss Mazari , Domènec Ruiz-Balet

We consider multi-agent decision making, where each agent optimizes its cost function subject to constraints. Agents' actions belong to a compact convex Euclidean space and the agents' cost functions are coupled. We propose a distributed…

Optimization and Control · Mathematics 2016-12-01 Tatiana Tatarenko , Maryam Kamgarpour

Decoding how rational agents should behave in shared systems remains a critical challenge within theoretical computer science, artificial intelligence and economics studies. Central to this challenge is the task of computing the solution…

Computer Science and Game Theory · Computer Science 2025-01-07 Dongge Wang , Xiang Yan , Zehao Dou , Wenhan Huang , Yaodong Yang , Xiaotie Deng

Linking two network flows that have the same source is essential in intrusion detection or in tracing anonymous connections. To improve the performance of this process, the flow can be modified (fingerprinted) to make it more…

Cryptography and Security · Computer Science 2013-07-15 Juan A. Elices , Fernando Perez-Gonzalez

This paper proposes and studies a class of discrete-time finite-time-horizon Stackelberg mean-field games, with one leader and an infinite number of identical and indistinguishable followers. In this game, the objective of the leader is to…

Optimization and Control · Mathematics 2022-10-11 Xin Guo , Anran Hu , Jiacheng Zhang

This paper investigates the equilibrium convergence properties of a proposed algorithm for potential games with continuous strategy spaces in the presence of feedback delays, a main challenge in multi-agent systems that compromises the…

Optimization and Control · Mathematics 2023-03-20 Yuanhanqing Huang , Jianghai Hu

Many resources are provided by an ecological system that is vulnerable to tipping when exceeding a certain level of pollution, with a sudden big loss of ecosystem services. An ecological system is usually also a common-pool resource and…

General Economics · Economics 2026-03-23 Yongyang Cai , Anastasios Xepapadeas , Aart de Zeeuw

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

A central question in algorithmic game theory is to measure the inefficiency (ratio of costs) of Nash equilibria (NE) with respect to socially optimal solutions. The two established metrics used for this purpose are price of anarchy (POA)…

Data Structures and Algorithms · Computer Science 2016-11-24 Shuchi Chawla , Joseph , Naor , Debmalya Panigrahi , Mohit Singh , Seeun William Umboh

Adversarial team games model multiplayer strategic interactions in which a team of identically-interested players is competing against an adversarial player in a zero-sum game. Such games capture many well-studied settings in game theory,…

Computer Science and Game Theory · Computer Science 2025-09-26 Ioannis Anagnostides , Fivos Kalogiannis , Ioannis Panageas , Emmanouil-Vasileios Vlatakis-Gkaragkounis , Stephen McAleer
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