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Nash equilibrium} (NE) can be stated as a formal theorem on a multilinear form, free of game theory terminology. On the other hand, inspired by this formalism, we state and prove a {\it multilinear minimax theorem}, a generalization of von…

Computer Science and Game Theory · Computer Science 2024-01-01 Bahman Kalantari

This work analyzes the minimum tollbooth problem in atomic network congestion games with unsplittable flows. The goal is to place tolls on edges, such that there exists a pure Nash equilibrium in the tolled game that is a social optimum in…

Computer Science and Game Theory · Computer Science 2021-04-01 Julian Nickerl

We introduce the notion, and develop the theory of local-noise spectroscopy (LNS) - a tool to study the properties of systems far from equilibrium by means of flux density correlations. As a test bed, we apply it to biased molecular…

Mesoscale and Nanoscale Physics · Physics 2019-02-11 Gabriel Cabra , Massimiliano Di Ventra , Michael Galperin

The design of Nash equilibrium seeking strategies for games in which the involved players are of second-order integrator-type dynamics is investigated in this paper. Noticing that velocity signals are usually noisy or not available for…

Optimization and Control · Mathematics 2020-06-18 Maojiao Ye , Jizhao Yin , Le Yin

In multi-agent autonomous systems, deception is a fundamental concept which characterizes the exploitation of unbalanced information to mislead victims into choosing oblivious actions. This effectively alters the system's long term…

Systems and Control · Electrical Eng. & Systems 2025-08-27 Michael Tang , Miroslav Krstic , Jorge Poveda

In this paper, we propose an equilibrium-seeking algorithm for finding generalized Nash equilibria of non-cooperative monotone convex quadratic games. Specifically, we recast the Nash equilibrium-seeking problem as variational inequality…

Optimization and Control · Mathematics 2024-03-21 Bingqi Liu , Dominic Liao-McPherson

In this paper, the problem of finding a Nash equilibrium of a multi-player game is considered. The players are only aware of their own cost functions as well as the action space of all players. We develop a relatively fast algorithm within…

Systems and Control · Computer Science 2017-05-09 Farzad Salehisadaghiani , Lacra Pavel

Understanding the dynamics of complex systems is a central task in many different areas ranging form biology via epidemics to economics and engineering. Unexpected behaviour of dynamic systems or even systems failure is sometimes difficult…

Optimization and Control · Mathematics 2020-06-11 Dominik Kahl , Andreas Weber , Maik Kschischo

This paper addresses a class of Nash equilibrium (NE) seeking problems in coalition games involving both local and coupling constraints for multiple Euler-Lagrange (EL) systems subject to disturbances of unknown bounds. Within each…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Cheng Yuwen , Jialing Zhou , Meng Luan , Guanghui Wen , Tingwen Huang

Real-world games, which concern imperfect information, multiple players, and simultaneous moves, are less frequently discussed in the existing literature of game theory. While reinforcement learning (RL) provides a general framework to…

Computer Science and Game Theory · Computer Science 2023-06-02 Runyu Lu , Yuanheng Zhu , Dongbin Zhao

We study multiplayer reachability games played on a finite directed graph equipped with target sets, one for each player. In those reachability games, it is known that there always exists a Nash equilibrium (NE) and a subgame perfect…

Computer Science and Game Theory · Computer Science 2019-07-15 Thomas Brihaye , Véronique Bruyère , Aline Goeminne , Nathan Thomasset

This article introduces a class of $Nash$ games among $Stackelberg$ players ($NASPs$), namely, a class of simultaneous non-cooperative games where the players solve sequential Stackelberg games. Specifically, each player solves a…

Computer Science and Game Theory · Computer Science 2025-03-04 Margarida Carvalho , Gabriele Dragotto , Felipe Feijoo , Andrea Lodi , Sriram Sankaranarayanan

As Wireless Sensor Networks are penetrating into the industrial domain, many research opportunities are emerging. One such essential and challenging application is that of node localization. A feed-forward neural network based methodology…

Networking and Internet Architecture · Computer Science 2016-10-17 Shiu Kumar , Ronesh Sharma , Edwin Vans

Feedback Nash equilibrium strategies in multi-agent dynamic games require availability of all players' state information to compute control actions. However, in real-world scenarios, sensing and communication limitations between agents make…

Computer Science and Game Theory · Computer Science 2025-04-10 Xinjie Liu , Jingqi Li , Filippos Fotiadis , Mustafa O. Karabag , Jesse Milzman , David Fridovich-Keil , Ufuk Topcu

We study a new class of games which generalizes congestion games and its bottleneck variant. We introduce congestion games with mixed objectives to model network scenarios in which players seek to optimize for latency and bandwidths alike.…

Computer Science and Game Theory · Computer Science 2016-12-22 Matthias Feldotto , Lennart Leder , Alexander Skopalik

We model the interaction of several radio devices aiming to obtain wireless connectivity by using a set of base stations (BS) as a non-cooperative game. Each radio device aims to maximize its own spectral efficiency (SE) in two different…

Computer Science and Game Theory · Computer Science 2009-08-13 S. M. Perlaza , E. V. Belmega , S. Lasaulce , M. Debbah

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

In recent work of Hazan and Krauthgamer (SICOMP 2011), it was shown that finding an $\eps$-approximate Nash equilibrium with near-optimal value in a two-player game is as hard as finding a hidden clique of size $O(\log n)$ in the random…

Computational Complexity · Computer Science 2011-04-20 Per Austrin , Mark Braverman , Eden Chlamtac

This paper addresses a class of network games played by dynamic agents using their outputs. Unlike most existing related works, the Nash equilibrium in this work is defined by functions of agent outputs instead of full agent states, which…

Optimization and Control · Mathematics 2023-04-27 Meichen Guo , Claudio De Persis

We consider a network composed of two interfering point-to-point links where the two transmitters can exploit one common relay node to improve their individual transmission rate. Communications are assumed to be multi-band and transmitters…

Information Theory · Computer Science 2015-03-17 E. V. Belmega , S. Lasaulce