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Consider a set of agents who play a network game repeatedly. Agents may not know the network. They may even be unaware that they are interacting with other agents in a network. Possibly, they just understand that their payoffs depend on an…

理论经济学 · 经济学 2022-07-26 Pierpaolo Battigalli , Fabrizio Panebianco , Paolo Pin

We apply Game Theory to a mathematical representation of two competing teams of agents connected within a complex network, where the ability of each side to manoeuvre their resource and degrade that of the other depends on their ability to…

物理与社会 · 物理学 2023-12-06 Andrew C. Cullen , Tansu Alpcan , Alexander C. Kalloniatis

We consider a nonzero-sum N-player Markov game on an abstract measurable state space with compact metric action spaces. The payoff functions are bounded Carath\'eodory functions and the transitions of the system are assumed to have a…

最优化与控制 · 数学 2023-05-09 François Dufour , Tomás Prieto-Rumeau

In this work, we present a novel characterization of approximate Nash equilibria in a class of convex games over the simplex. To achieve this, we regularize the utility functions using the Shannon entropy term, connect the solutions to the…

最优化与控制 · 数学 2025-07-18 Tatiana Tatarenko , S. Rasoul Etesami

We consider a slotted-ALOHA LAN with loss-averse, noncooperative greedy users. To avoid non-Pareto equilibria, particularly deadlock, we assume probabilistic loss-averse behavior. This behavior is modeled as a modulated white noise term, in…

计算机科学与博弈论 · 计算机科学 2012-02-28 George Kesidis , Youngmi Jin

We analyze the robustness of (pure strategy) Nash equilibria for network games against perturbations of the players' utility functions. We first derive a simple characterization of the margin of robustness, defined as the minimum magnitude…

计算机科学与博弈论 · 计算机科学 2020-04-28 Laura Arditti , Giacomo Como , Fabio Fagnani , Martina Vanelli

We study a game-theoretic variant of the maximum circulation problem. In a flow allocation game, we are given a directed flow network. Each node is a rational agent and can strategically allocate any incoming flow to the outgoing edges.…

计算机科学与博弈论 · 计算机科学 2023-12-22 Nils Bertschinger , Martin Hoefer , Daniel Schmand

We propose a general class of symmetric games called position-optimization games. Given a probability distribution $Q$ over a set of targets $\mathcal{Y}$, the $n$ players each choose a position in a space $\mathcal{X}$. A player's utility…

计算机科学与博弈论 · 计算机科学 2026-02-18 Rafael Frongillo , Melody Hsu , Mary Monroe , Anish Thilagar

The Kelly or proportional allocation mechanism is a simple and efficient auction-based scheme that distributes an infinitely divisible resource proportionally to the agents bids. When agents are aware of the allocation rule, their…

计算机科学与博弈论 · 计算机科学 2026-03-27 Younes Ben Mazziane , Cleque-Marlain Mboulou Moutoubi , Eitan Altman , Francesco De Pellegrini

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…

信息论 · 计算机科学 2015-03-17 E. V. Belmega , S. Lasaulce

We consider graphical $n$-person games with perfect information that have no Nash equilibria in pure stationary strategies. Solving these games in mixed strategies, we introduce probabilistic distributions in all non-terminal positions. The…

组合数学 · 数学 2023-08-21 Vladimir Gurvich , Mariya Naumova

This paper discusses a special type of multi-user communication scenario, in which users' utilities are linearly impacted by their competitors' actions. First, we explicitly characterize the Nash equilibrium and Pareto boundary of the…

计算机科学与博弈论 · 计算机科学 2009-08-13 Yi Su , Mihaela van der Schaar

This paper investigates online stochastic aggregative games subject to local set constraints and time-varying coupled inequality constraints, where each player possesses a time-varying expectation-valued cost function relying on not only…

最优化与控制 · 数学 2025-11-18 Kaixin Du , Min Meng

Reinforcement-based learning has attracted considerable attention both in modeling human behavior as well as in engineering, for designing measurement- or payoff-based optimization schemes. Such learning schemes exhibit several advantages,…

机器学习 · 计算机科学 2025-11-26 Georgios C. Chasparis

We study the open question of how players learn to play a social optimum pure-strategy Nash equilibrium (PSNE) through repeated interactions in general-sum coordination games. A social optimum of a game is the stable Pareto-optimal state…

计算机科学与博弈论 · 计算机科学 2023-07-26 Duong Nguyen , Langford White , Hung Nguyen

We develop a general game-theoretic framework for reasoning about strategic agents performing possibly costly computation. In this framework, many traditional game-theoretic results (such as the existence of a Nash equilibrium) no longer…

计算机科学与博弈论 · 计算机科学 2008-09-02 Joseph Y. Halpern , Rafael Pass

We propose a generic strategic network resource sharing game between a set of players representing operators. The players negotiate which sets of players share given resources, serving users with varying sensitivity to interference. We…

计算机科学与博弈论 · 计算机科学 2016-05-31 Sofonias Hailu , Ragnar Freij-Hollanti , Alexis A. Dowhuszko , Olav Tirkkonen

In this paper, we study the distributed generalized Nash equilibrium seeking problem of non-cooperative games in dynamic environments. Each player in the game aims to minimize its own time-varying cost function subject to a local action…

最优化与控制 · 数学 2020-04-02 Kaihong Lu , Guangqi Li , Long Wang

In multi-rate IEEE 802.11 WLANs, the traditional user association based on the strongest received signal and the well known anomaly of the MAC protocol can lead to overloaded Access Points (APs), and poor or heterogeneous performance. Our…

计算机科学与博弈论 · 计算机科学 2016-05-03 Mikael Touati , Rachid El-Azouzi , Marceau Coupechoux , Eitan Altmanand Jean-Marc Kelif

In this work, we investigate an application of a Nash equilibrium seeking algorithm in a social network. In a networked game each player (user) takes action in response to other players' actions in order to decrease (increase) his cost…

计算机科学与博弈论 · 计算机科学 2017-03-28 Farzad Salehisadaghiani