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In this paper, we study a theoretical math problem of game theory and calculus of variations in which we minimize a functional involving two players. A general relationship between the optimal strategies for both players is presented,…

最优化与控制 · 数学 2024-11-05 Grace Luo , Christopher Boyer , Siddharth Penmetsa

The game-theoretic risk management framework put forth in the precursor reports "Towards a Theory of Games with Payoffs that are Probability-Distributions" (arXiv:1506.07368 [q-fin.EC]) and "Algorithms to Compute Nash-Equilibria in Games…

经济学 · 定量金融 2017-11-03 Stefan Rass

Learning in games provides a powerful framework to design control policies for self-interested agents that may be coupled through their dynamics, costs, or constraints. We consider the case where the dynamics of the coupled system can be…

系统与控制 · 电气工程与系统科学 2024-09-18 Mostafa M. Shibl , Vijay Gupta

We show that, in a resource allocation problem, the ex ante aggregate utility of players with cumulative-prospect-theoretic preferences can be increased over deterministic allocations by implementing lotteries. We formulate an optimization…

理论经济学 · 经济学 2020-12-07 Soham R. Phade , Venkat Anantharam

One of the main challenges in distributed learning arises from the difficulty of handling heterogeneous local models and data. In light of the recent success of generative models, we propose to meet this challenge by building on the idea of…

机器学习 · 计算机科学 2025-11-04 Dmitrij Schlesinger , Boris Flach

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…

信息论 · 计算机科学 2016-11-17 Gesualdo Scutari , Daniel P. Palomar , Sergio Barbarossa

Motivated by applications in job scheduling, queuing networks, and load balancing in cyber-physical systems, we develop and analyze a game-theoretic framework to balance the load among servers in static and dynamic settings. In these…

计算机科学与博弈论 · 计算机科学 2025-12-24 Fatemeh Fardno , S. Rasoul Etesami

In this paper we propose a game-theoretic model to analyze events similar to the 2009 \emph{DARPA Network Challenge}, which was organized by the Defense Advanced Research Projects Agency (DARPA) for exploring the roles that the Internet and…

计算机科学与博弈论 · 计算机科学 2013-01-31 Rajesh Chitnis , MohammadTaghi Hajiaghayi , Jonathan Katz , Koyel Mukherjee

In this paper, a gentle introduction to Game Theory is presented in the form of basic concepts and examples. Minimax and Nash's theorem are introduced as the formal definitions for optimal strategies and equilibria in zero-sum and…

计算机科学与博弈论 · 计算机科学 2015-06-18 Harris V. Georgiou

This paper considers a two-player game where each player chooses a resource from a finite collection of options. Each resource brings a random reward. Both players have statistical information regarding the rewards of each resource.…

计算机科学与博弈论 · 计算机科学 2023-09-19 Mevan Wijewardena , Michael J. Neely

Ensuring robust decision-making in multi-agent systems is challenging when agents have distinct, possibly conflicting objectives and lack full knowledge of each other's strategies. This is apparent in safety-critical applications such as…

系统与控制 · 电气工程与系统科学 2025-10-20 Francesco Bianchin , Robert Lefringhausen , Elisa Gaetan , Samuel Tesfazgi , Sandra Hirche

Contemporary applications of machine learning in two-team e-sports and the superior expressivity of multi-agent generative adversarial networks raise important and overlooked theoretical questions regarding optimization in two-team games.…

计算机科学与博弈论 · 计算机科学 2023-04-18 Fivos Kalogiannis , Ioannis Panageas , Emmanouil-Vasileios Vlatakis-Gkaragkounis

This paper studies $n$-person simultaneous-move games with linear best response function, where individuals interact within a given network structure. This class of games have been used to model various settings, such as, public goods,…

计算机科学与博弈论 · 计算机科学 2011-06-14 Victor M. Preciado , Jaelynn Oh , Ali Jadbabaie

Recent years have witnessed significant advances in technologies and services in modern network applications, including smart grid management, wireless communication, cybersecurity as well as multi-agent autonomous systems. Considering the…

多智能体系统 · 计算机科学 2023-08-29 Tao Li , Guanze Peng , Quanyan Zhu , Tamer Basar

The real world is awash with multi-agent problems that require collective action by self-interested agents, from the routing of packets across a computer network to the management of irrigation systems. Such systems have local incentives…

多智能体系统 · 计算机科学 2021-02-16 Michiel A. Bakker , Richard Everett , Laura Weidinger , Iason Gabriel , William S. Isaac , Joel Z. Leibo , Edward Hughes

We present a framework that incorporates the idea of bounded rationality into dynamic stochastic pursuit-evasion games. The solution of a stochastic game is characterized, in general, by its (Nash) equilibria in feedback form. However,…

系统与控制 · 电气工程与系统科学 2020-03-17 Yue Guan , Dipankar Maity , Christopher M. Kroninger , Panagiotis Tsiotras

To address the dynamic nature of real-world networks, we generalize competitive diffusion games and Voronoi games from static to temporal graphs, where edges may appear or disappear over time. This establishes a new direction of studies in…

计算机科学与博弈论 · 计算机科学 2023-02-22 Niclas Boehmer , Vincent Froese , Julia Henkel , Yvonne Lasars , Rolf Niedermeier , Malte Renken

Game theory is an established branch of mathematics that offers a rich set of mathematical tools for multi-person strategic decision making that can be used to model the interactions of decision makers in security problems who compete for…

计算机科学与博弈论 · 计算机科学 2019-11-04 Azhar Iqbal , Lachlan J. Gunn , Mingyu Guo , M. Ali Babar , Derek Abbott

Understanding how people behave in strategic settings--where they make decisions based on their expectations about the behavior of others--is a long-standing problem in the behavioral sciences. We conduct the largest study to date of…

综合经济学 · 经济学 2024-08-16 Jian-Qiao Zhu , Joshua C. Peterson , Benjamin Enke , Thomas L. Griffiths

In this work, we study the problem of power allocation and adaptive modulation in teams of decision makers. We consider the special case of two teams with each team consisting of two mobile agents. Agents belonging to the same team…

计算机科学与博弈论 · 计算机科学 2011-02-08 Ali Khanafer , Sourabh Bhattacharya , Tamer Başar