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This paper investigates the problem of computing the equilibrium of competitive games, which is often modeled as a constrained saddle-point optimization problem with probability simplex constraints. Despite recent efforts in understanding…

Optimization and Control · Mathematics 2023-01-23 Shicong Cen , Yuting Wei , Yuejie Chi

This paper introduces a random modulation technique that is decoupled from the channel matrix, allowing it to be applied to arbitrary norm-bounded and spectrally convergent channel matrices. The proposed random modulation constructs an…

Information Theory · Computer Science 2026-01-01 Lei Liu , Yuhao Chi , Shunqi Huang

Applying neural network (NN) methods in games can lead to various new and exciting game dynamics not previously possible. However, they also lead to new challenges such as the lack of large, clean datasets, varying player skill levels, and…

Machine Learning · Computer Science 2021-07-06 Mathias Löwe , Jennifer Villareale , Evan Freed , Aleksanteri Sladek , Jichen Zhu , Sebastian Risi

In practical multi-agent systems, agents often have diverse objectives, which makes the system more complex, as each agent's performance across multiple criteria depends on the joint actions of all agents, creating intricate strategic…

Multiagent Systems · Computer Science 2025-09-30 Yue Wang

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

Sensor network localization (SNL) problems require determining the physical coordinates of all sensors in a network. This process relies on the global coordinates of anchors and the available measurements between non-anchor and anchor…

Optimization and Control · Mathematics 2024-03-26 Gehui Xu , Guanpu Chen , Yiguang Hong , Baris Fidan , Thomas Parisini , Karl H. Johansson

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

We consider generalized Nash equilibrium (GNE) problems in games with strongly monotone pseudo-gradients and jointly linear coupling constraints. We establish the convergence rate of a payoff-based approach intended to learn a variational…

Optimization and Control · Mathematics 2024-11-14 Tatiana Tatarenko , Maryam Kamgarpour

Using the spatial modulation approach, where only one transmit antenna is active at a time, we propose two transmission schemes for two-way relay channel using physical layer network coding with space time coding using Coordinate…

Information Theory · Computer Science 2014-01-07 K. G. Unnikrishnan , B. Sundar Rajan

In competitive two-agent environments, deep reinforcement learning (RL) methods based on the \emph{Double Oracle (DO)} algorithm, such as \emph{Policy Space Response Oracles (PSRO)} and \emph{Anytime PSRO (APSRO)}, iteratively add RL best…

Computer Science and Game Theory · Computer Science 2022-07-15 Stephen McAleer , JB Lanier , Kevin Wang , Pierre Baldi , Roy Fox , Tuomas Sandholm

We consider a distributed stochastic approximation (SA) scheme for computing an equilibrium of a stochastic Nash game. Standard SA schemes employ diminishing steplength sequences that are square summable but not summable. Such requirements…

Optimization and Control · Mathematics 2013-03-20 Farzad Yousefian , Angelia Nedich , Uday V. Shanbhag

We study strong stability of Nash equilibria in load balancing games of m (m >= 2) identical servers, in which every job chooses one of the m servers and each job wishes to minimize its cost, given by the workload of the server it chooses.…

Computer Science and Game Theory · Computer Science 2015-06-17 Bo Chen , Song-Song Li , Yu-Zhong Zhang

We introduce, to our knowledge, the first direct second-order method for computing Nash equilibria in two-player zero-sum games. To do so, we construct a Douglas-Rachford-style splitting formulation, which we then solve with a semi-smooth…

Computer Science and Game Theory · Computer Science 2025-12-16 David Yang , Yuan Gao , Tianyi Lin , Christian Kroer

In this paper, we propose a hierarchical game approach to model the energy efficiency maximization problem where transmitters individually choose their channel assignment and power control. We conduct a thorough analysis of the existence,…

Information Theory · Computer Science 2016-11-15 Majed Haddad , Piotr Wiecek , Oussama Habachi , Yezekael Hayel

Game theory is playing more and more important roles in understanding complex systems and in investigating intelligent machines with various uncertainties. As a starting point, we consider the classical two-player zero-sum linear-quadratic…

Optimization and Control · Mathematics 2022-04-20 Nian Liu , Lei Guo

In this paper, we propose a distributed primal-dual algorithm for computation of a generalized Nash equilibrium (GNE) in noncooperative games over network systems. In the considered game, not only each player's local objective function…

Optimization and Control · Mathematics 2019-12-10 Peng Yi , Lacra Pavel

We consider payoff-based learning of a generalized Nash equilibrium (GNE) in multi-agent systems. Our focus is on games with jointly convex constraints of a linear structure and strongly monotone pseudo-gradients. We present a convergent…

Optimization and Control · Mathematics 2025-07-18 Tatiana Tatarenko , Maryam Kamgarpour

The analysis of modulation schemes for the physical layer network-coded two way relaying scenario is presented which employs two phases: Multiple access (MA) phase and Broadcast (BC) phase. It was shown by Koike-Akino et. al. that…

Information Theory · Computer Science 2012-03-27 Vijayvaradharaj T. Muralidharan , B. Sundar Rajan

The problem of secure communication in Amplify-and-Forward (AF) relay networks with multiple eavesdroppers is considered. Assuming that a receiver (destination or eavesdropper) can decode a message only if the received SNR is above a…

Cryptography and Security · Computer Science 2014-06-19 Siddhartha Sarma , Samar Agnihotri , Joy Kuri

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
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