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We study the problem of computing approximate Nash equilibria of bimatrix games, in a setting where players initially know their own payoffs but not the payoffs of the other player. In order for a solution of reasonable quality to be found,…

Computer Science and Game Theory · Computer Science 2013-02-18 Paul Goldberg , Arnoud Pastink

In this work, we consider a network composed of several single-antenna transmitter-receiver pairs in which each pair aims at selfishly minimizing the power required to achieve a given signal-to-interference-plus-noise ratio. This is…

Information Theory · Computer Science 2016-11-18 Riccardo Andreotti , Leonardo Marchetti , Luca Sanguinetti , Merouane Debbah

In this paper, an energy efficiency (EE) game in a MIMO multiple access channel (MAC) communication system is considered. The existence and the uniqueness of the Nash Equilibrium (NE) is affirmed. A bisection search algorithm is designed to…

Signal Processing · Electrical Eng. & Systems 2019-11-19 Hang Zou , Chao Zhang , Samson Lasaulce , Lucas Saludjian , Patrick Panciatici

In this work, we study the system of interacting non-cooperative two Q-learning agents, where one agent has the privilege of observing the other's actions. We show that this information asymmetry can lead to a stable outcome of population…

Machine Learning · Computer Science 2021-01-26 Ezra Tampubolon , Haris Ceribasic , Holger Boche

The Nash equilibrium point of the transmission probabilities in a slotted ALOHA system with selfish nodes is analyzed. The system consists of a finite number of heterogeneous nodes, each trying to minimize its average transmission…

Computer Science and Game Theory · Computer Science 2015-10-28 Fu-Te Hsu , Hsuan-Jung Su

When multiple users share a common link in direct transmission, packet loss and network collision may occur due to the simultaneous arrival of traffics at the source node. To tackle this problem, users may resort to an indirect path: the…

Signal Processing · Electrical Eng. & Systems 2023-07-18 Qiong Liu , Chehao Wang , Ce Zheng

We develop a constrained bimatrix game framework that can be used to model many practical problems in many disciplines, including jamming in packetized wireless networks. In contrast to the widely used zero-sum framework, in bimatrix games…

Information Theory · Computer Science 2024-10-30 Koorosh Firouzbakht , Guevara Noubir , Masoud Salehi

We propose and analyze a broad family of games played by resource-constrained players, which are characterized by the following central features: 1) each user has a multi-dimensional action space, subject to a single sum resource…

Computer Science and Game Theory · Computer Science 2010-05-07 Yi Su , Mihaela van der Schaar

A game-theoretic approach for studying power control in multiple-access networks with transmission delay constraints is proposed. A non-cooperative power control game is considered in which each user seeks to choose a transmit power that…

Information Theory · Computer Science 2016-11-17 Farhad Meshkati , H. Vincent Poor , Stuart C. Schwartz

Considering the interaction through mutual interference of the different radio devices, the channel selection (CS) problem in decentralized parallel multiple access channels can be modeled by strategic-form games. Here, we show that the CS…

Computer Science and Game Theory · Computer Science 2010-09-28 S. M. Perlaza , H. Tembine , S. Lasaulce , V. Quintero-Florez

According to FCC's ruling for white-space spectrum access, white-space devices are required to query a database to determine the spectrum availability. In this paper, we study the database-assisted distributed white-space access point (AP)…

Networking and Internet Architecture · Computer Science 2013-01-15 Xu Chen , Jianwei Huang

We study the robust Nash equilibrium (RNE) for a class of games in communications systems and networks where the impact of users on each other is an additive function of their strategies. Each user measures this impact, which may be…

Computer Science and Game Theory · Computer Science 2011-09-21 Saeedeh Parsaeefard , Ahmad R. Sharafat , Mihaela van der Schaar

Wireless local area networks (WLANs) based on IEEE 802.11 standards are becoming ubiquitous today and typically support multiple data rates. In such multi-rate WLANs, distributed medium access and rate adaptation are two key elements to…

Computer Science and Game Theory · Computer Science 2012-07-19 Lin Chen , Athanasios V. Vasilakos

This paper develops a game-theoretic framework for the design and analysis of a new class of incentive schemes called intervention schemes. We formulate intervention games, propose a solution concept of intervention equilibrium, and prove…

Computer Science and Game Theory · Computer Science 2015-03-17 Jaeok Park , Mihaela van der Schaar

We study a class of deterministic finite-horizon two-player nonzero-sum differential games where players are endowed with different kinds of controls. We assume that Player 1 uses piecewise-continuous controls, while Player 2 uses impulse…

Optimization and Control · Mathematics 2025-10-21 Utsav Sadana , Puduru Viswanadha Reddy , Georges Zaccour

We consider a class of targeted intervention problems in dynamic network and graphon games. First, we study a general dynamic network game in which players interact over a graph and maximize their heterogeneous, concave goal functionals,…

Optimization and Control · Mathematics 2025-07-02 Eyal Neuman , Sturmius Tuschmann

Federated learning offers a decentralized approach to machine learning, where multiple agents collaboratively train a model while preserving data privacy. In this paper, we investigate the decision-making and equilibrium behavior in…

Computer Science and Game Theory · Computer Science 2025-03-13 Lihui Yi , Xiaochun Niu , Ermin Wei

The decision making and management of many engineering networks involves multiple parties with conflicting interests, while each party is constituted with multiple agents. Such problems can be casted as a multi-cluster game. Each cluster is…

Computer Science and Game Theory · Computer Science 2022-05-25 Yue Chen , Peng Yi

This paper studies a stochastic utility maximization game under relative performance concerns in finite agent and infinite agent settings, where a continuum of agents interact through a graphon (see definition below). We consider an…

Mathematical Finance · Quantitative Finance 2023-02-22 Ludovic Tangpi , Xuchen Zhou

We consider the decentralized power allocation and spectrum sharing problem in multi-user, multi-channel systems with strategic users. We present a mechanism/game form that has the following desirable features. (1) It is individually…

Optimization and Control · Mathematics 2012-02-10 Ali Kakhbod , Demosthenis Teneketzis