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The use of game theoretic methods for control in multiagent systems has been an important topic in recent research. Valid utility games in particular have been used to model real-world problems; such games have the convenient property that…

计算机科学与博弈论 · 计算机科学 2022-09-16 David Grimsman , Philip N. Brown , Jason R. Marden

Nash equilibrium is one of the most influential solution concepts in game theory. With the development of computer science and artificial intelligence, there is an increasing demand on Nash equilibrium computation, especially for Internet…

计算机科学与博弈论 · 计算机科学 2023-12-19 Hanyu Li , Wenhan Huang , Zhijian Duan , David Henry Mguni , Kun Shao , Jun Wang , Xiaotie Deng

We study the problem of repeated play in a zero-sum game in which the payoff matrix may change, in a possibly adversarial fashion, on each round; we call these Online Matrix Games. Finding the Nash Equilibrium (NE) of a two player zero-sum…

机器学习 · 计算机科学 2020-04-06 Adrian Rivera Cardoso , Jacob Abernethy , He Wang , Huan Xu

We introduce one-way games, a framework motivated by applications in large-scale power restoration, humanitarian logistics, and integrated supply-chains. The distinguishable feature of the games is that the payoff of some player is…

计算机科学与博弈论 · 计算机科学 2015-07-28 Andres Abeliuk , Gerardo Berbeglia , Pascal Van Hentenryck

We study cost-sharing games in real-time scheduling systems where the activation cost of the server at any given time is a function of its load. We focus on monomial cost functions and consider both the case when the degree is less than one…

计算机科学与博弈论 · 计算机科学 2019-07-16 Eirini Georgoulaki , Kostas Kollias

Understanding the convergence landscape of multi-agent learning is a fundamental problem of great practical relevance in many applications of artificial intelligence and machine learning. While it is known that learning dynamics converge to…

计算机科学与博弈论 · 计算机科学 2025-03-21 Martin Bichler , Davide Legacci , Panayotis Mertikopoulos , Matthias Oberlechner , Bary Pradelski

We study a game played between advertisers in an online ad platform. The platform sells ad impressions by first-price auction and provides autobidding algorithms that optimize bids on each advertiser's behalf, subject to advertiser…

计算机科学与博弈论 · 计算机科学 2023-11-16 Yiding Feng , Brendan Lucier , Aleksandrs Slivkins

Algorithms and models based on game theory have nowadays become prominent techniques for the design of digital controllers for critical systems. Indeed, such techniques enable automatic synthesis: given a model of the environment and a…

计算机科学与博弈论 · 计算机科学 2016-08-03 Thomas Brihaye , Amit Kumar Dhar , Gilles Geeraerts , Axel Haddad , Benjamin Monmege

The goal of agents in multi-agent environments is to maximize total reward against the opposing agents that are encountered. Following a game-theoretic solution concept, such as Nash equilibrium, may obtain a strong performance in some…

计算机科学与博弈论 · 计算机科学 2026-01-05 Sam Ganzfried

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…

系统与控制 · 计算机科学 2017-05-09 Farzad Salehisadaghiani , Lacra Pavel

We address Nash equilibrium problems in a partial-decision information scenario, where each agent can only exchange information with some neighbors, while its cost function possibly depends on the strategies of all agents. We characterize…

最优化与控制 · 数学 2022-06-24 Mattia Bianchi , Sergio Grammatico

We show that under some general conditions the finite memory determinacy of a class of two-player win/lose games played on finite graphs implies the existence of a Nash equilibrium built from finite memory strategies for the corresponding…

计算机科学与博弈论 · 计算机科学 2016-07-13 Stéphane Le Roux , Arno Pauly

This paper studies the existence of pure Nash equilibria in resource graph games, which are a general class of strategic games used to succinctly represent the players' private costs. There is a finite set of resources and the strategy set…

计算机科学与博弈论 · 计算机科学 2020-07-20 Tobias Harks , Max Klimm , Jannik Matuschke

Many economic transactions, including those of online markets, have a time lag between the start and end times of transactions. Customers need to wait for completion of their transaction (order fulfillment) and hence are also interested in…

最优化与控制 · 数学 2018-10-19 Manu K. Gupta , N. Hemachandra

We study scenarios where multiple sellers of a homogeneous good compete on prices, where each seller can only sell to some subset of the buyers. Crucially, sellers cannot price-discriminate between buyers. We model the structure of the…

计算机科学与博弈论 · 计算机科学 2013-11-12 Moshe Babaioff , Brendan Lucier , Noam Nisan

In finite games mixed Nash equilibria always exist, but pure equilibria may fail to exist. To assess the relevance of this nonexistence, we consider games where the payoffs are drawn at random. In particular, we focus on games where a large…

计算机科学与博弈论 · 计算机科学 2020-06-18 Ben Amiet , Andrea Collevecchio , Marco Scarsini , Ziwen Zhong

In this work we study of competitive situations among users of a set of global resources. More precisely we study the effect of cost policies used by these resources in the convergence time to a pure Nash equilibrium. The work is divided in…

计算机科学与博弈论 · 计算机科学 2011-03-28 Vissarion Fisikopoulos

When opposing parties compete for a prize, the sunk effort players exert during the conflict can affect the value of the winner's reward. These spillovers can have substantial influence on the equilibrium behavior of participants in…

理论经济学 · 经济学 2023-02-07 Maria Betto , Matthew W. Thomas

We study the existence of mixed-strategy equilibria in concurrent games played on graphs. While existence is guaranteed with safety objectives for each player, Nash equilibria need not exist when players are given arbitrary terminal-reward…

计算机科学与博弈论 · 计算机科学 2016-09-15 Patricia Bouyer , Nicolas Markey , Daniel Stan

Due to the lack of coordination, it is unlikely that the selfish players of a strategic game reach a socially good state. A possible way to cope with selfishness is to compute a desired outcome (if it is tractable) and impose it. However…

计算机科学与博弈论 · 计算机科学 2010-12-20 Bruno Escoffier , Laurent Gourvès , Jérôme Monnot
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