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Understanding the evolution of human social systems requires flexible formalisms for the emergence of institutions. Although game theory is normally used to model interactions individually, larger spaces of games can be helpful for modeling…

物理与社会 · 物理学 2021-08-12 Seth Frey , Curtis Atkisson

This paper provides a tutorial overview of game theoretic techniques used for communication over frequency selective interference channels. We discuss both competitive and cooperative techniques. Keywords: Game theory, competitive games,…

信息论 · 计算机科学 2010-08-10 Amir Leshem , Ephi Zehavi

We propose a framework to compute approximate Nash equilibria in integer programming games with nonlinear payoffs, i.e., simultaneous and non-cooperative games where each player solves a parametrized mixed-integer nonlinear program. We…

最优化与控制 · 数学 2025-08-04 Aloïs Duguet , Margarida Carvalho , Gabriele Dragotto , Sandra Ulrich Ngueveu

When two or more self-interested agents put their plans to execution in the same environment, conflicts may arise as a consequence, for instance, of a common utilization of resources. In this case, an agent can postpone the execution of a…

人工智能 · 计算机科学 2015-03-05 Jaume Jordán , Eva Onaindia

We introduce a simple stochastic dynamics for game theory. It assumes ``local'' rationality in the sense that any player climbs the gradient of his utility function in the presence of a stochastic force which represents deviation from…

统计力学 · 物理学 2008-11-23 Matteo Marsili , Yi-Cheng Zhang

This work proposes a novel distributed approach for computing a Nash equilibrium in convex games with restricted strongly monotone pseudo-gradients. By leveraging the idea of the centralized operator extrapolation method presented in [4] to…

最优化与控制 · 数学 2023-10-25 Tatiana Tatarenko , Angelia Nedich

We propose a game-theoretic framework that incorporates both incomplete information and general ambiguity attitudes on factors external to all players. Our starting point is players' preferences on payoff-distribution vectors, essentially…

经济学 · 定量金融 2017-04-04 Jian Yang

Dynamic nonzero sum games are widely used to model multi agent decision making in control, economics, and related fields. Classical methods for computing Nash equilibria, especially in linear quadratic settings, rely on strong structural…

神经与进化计算 · 计算机科学 2026-01-07 Alireza Rezaee

This paper formally models the strategic repeated interactions between a system, comprising of a machine learning (ML) model and associated explanation method, and an end-user who is seeking a prediction/label and its explanation for a…

计算机科学与博弈论 · 计算机科学 2022-08-24 Kavita Kumari , Murtuza Jadliwala , Sumit Kumar Jha , Anindya Maiti

This work introduces a unified framework for analyzing games in greater depth. In the existing literature, players' strategies are typically assigned scalar values, and equilibrium concepts are used to identify compatible choices. However,…

计算机科学与博弈论 · 计算机科学 2026-02-04 Melih İşeri , Erhan Bayraktar

Control of multi-agent systems via game theory is investigated. Assume a system level object is given, the utility functions for individual agents are designed to convert a multi-agent system into a potential game. First, for fixed…

最优化与控制 · 数学 2016-08-02 Ting Liu , Jinhuan Wang , Daizhan Cheng

This survey is organized around three main topics: models, econometrics, and empirical applications. Section 2 presents the theoretical framework, introduces the concept of Markov Perfect Nash Equilibrium, discusses existence and…

计量经济学 · 经济学 2021-09-17 Victor Aguirregabiria , Allan Collard-Wexler , Stephen P. Ryan

Game theory provides an effective way to model strategic interactions among rational agents. In the context of formal verification, these ideas can be used to produce guarantees on the correctness of multi-agent systems, with a diverse…

计算机科学与博弈论 · 计算机科学 2024-11-11 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos

Understanding player strategies is a key question when analyzing player behavior both for academic researchers and industry practitioners. For game designers and game user researchers, it is important to gauge the distance between intended…

人机交互 · 计算机科学 2021-06-28 Truong-Huy Dinh Nguyen , Magy Seif El-Nasr , Alessandro Canossa

Computational aspects of solution notions such as Nash equilibrium have been extensively studied, including settings where the ultimate goal is to find an equilibrium that possesses some additional properties. Furthermore, in order to…

计算复杂性 · 计算机科学 2023-05-09 Bruce M. Kapron , Koosha Samieefar

Surveillance-Evasion (SE) games form an important class of adversarial trajectory-planning problems. We consider time-dependent SE games, in which an Evader is trying to reach its target while minimizing the cumulative exposure to a moving…

最优化与控制 · 数学 2019-09-09 Elliot Cartee , Lexiao Lai , Qianli Song , Alexander Vladimirsky

We tackle a fundamental problem in empirical game-theoretic analysis (EGTA), that of learning equilibria of simulation-based games. Such games cannot be described in analytical form; instead, a black-box simulator can be queried to obtain…

计算机科学与博弈论 · 计算机科学 2019-06-03 Enrique Areyan Viqueira , Cyrus Cousins , Eli Upfal , Amy Greenwald

Strategic games admit a multi-graph representation, in which two kinds of relations, accessibility, and preferences, are used to describe how the players compare the possible outcomes. A category of games with a fixed set of players…

范畴论 · 数学 2025-02-19 Fernando Tohmé , Ignacio Viglizzo

In this tutorial, we provide an introduction to machine learning methods for finding Nash equilibria in games with large number of agents. These types of problems are important for the operations research community because of their…

最优化与控制 · 数学 2024-06-18 Gokce Dayanikli , Mathieu Lauriere

We present a novel algorithm for game-theoretic trajectory planning, tailored for settings in which agents can only observe one another in specific regions of the state space. Such problems arise naturally in the context of multi-robot…

多智能体系统 · 计算机科学 2024-06-18 Kushagra Gupta , David Fridovich-Keil