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We consider a security game in a setting consisting of two players (an attacker and a defender), each with a given budget to allocate towards attack and defense, respectively, of a set of nodes. Each node has a certain value to the attacker…

系统与控制 · 电气工程与系统科学 2021-03-08 Mustafa Abdallah , Timothy Cason , Saurabh Bagchi , Shreyas Sundaram

Equilibria of realistic multiplayer games constitute a key solution concept both in practical applications, such as online advertising auctions and electricity markets, and in analytical frameworks used to study strategic voting in…

计算机科学与博弈论 · 计算机科学 2025-11-18 Jakub Černý , Shuvomoy Das Gupta , Christian Kroer

We consider a game-theoretical problem called selfish 2-dimensional bin packing game, a generalization of the 1-dimensional case already treated in the literature. In this game, the items to be packed are rectangles, and the bins are unit…

计算机科学与博弈论 · 计算机科学 2017-07-26 Cristina G. Fernandes , Carlos E. Ferreira , Flávio K. Miyazawa , Yoshiko Wakabayashi

We consider the interaction among agents engaging in a driving task and we model it as general-sum game. This class of games exhibits a plurality of different equilibria posing the issue of equilibrium selection. While selecting the most…

A selfish learner seeks to maximize their own success, disregarding others. When success is measured as payoff in a game played against another learner, mutual selfishness typically fails to produce the optimal outcome for a pair of…

种群与进化 · 定量生物学 2022-07-07 Alex McAvoy , Yoichiro Mori , Joshua B. Plotkin

We investigate a model for representing large multiplayer games, which satisfy strong symmetry properties. This model is made of multiple copies of an arena; each player plays in his own arena, and can partially observe what the other…

计算机科学与博弈论 · 计算机科学 2014-04-04 Patricia Bouyer , Nicolas Markey , Steen Vester

The emergence of cooperation figures among the main goal of game theory in competitive-cooperative environments. Potential games have long been hinted as viable alternatives to study realistic player behavior. Here, we expand the potential…

计算机科学与博弈论 · 计算机科学 2018-10-12 G. M. Nakamura , G. S. Contesini , A. S. Martinez

We study combinatorial auctions where each item is sold separately but simultaneously via a second price auction. We ask whether it is possible to efficiently compute in this game a pure Nash equilibrium with social welfare close to the…

计算机科学与博弈论 · 计算机科学 2015-06-10 Shahar Dobzinski , Hu Fu , Robert Kleinberg

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

This paper explores distributed aggregative games in multi-agent systems. Current methods for finding distributed Nash equilibrium require players to send original messages to their neighbors, leading to communication burden and privacy…

系统与控制 · 电气工程与系统科学 2024-05-07 Wei Huo , Xiaomeng Chen , Kemi Ding , Subhrakanti Dey , Ling Shi

Of paramount importance in both ecological systems and economic policies are the problems of harvesting of natural resources. A paradigmatic situation where this question is raised is that of fishing strategies. Indeed, overfishing is a…

最优化与控制 · 数学 2022-03-23 Idriss Mazari , Domènec Ruiz-Balet

We study binary-action pairwise-separable network games that encompass both coordinating and anti-coordinating behaviors. Our model is grounded in an underlying directed signed graph, where each link is associated with a weight that…

计算机科学与博弈论 · 计算机科学 2025-05-22 Martina Vanelli , Laura Arditti , Giacomo Como , Fabio Fagnani

We consider a multi-agent noncooperative game with agents' objective functions being affected by uncertainty. Following a data driven paradigm, we represent uncertainty by means of scenarios and seek a robust Nash equilibrium solution. We…

最优化与控制 · 数学 2020-10-15 Filiberto Fele , Kostas Margellos

In this paper we consider strategic cost sharing games with so-called arbitrary sharing based on various combinatorial optimization problems, such as vertex and set cover, facility location, and network design problems. We concentrate on…

计算机科学与博弈论 · 计算机科学 2010-03-17 Martin Hoefer

We revisit the complexity of deciding, given a {\it bimatrix game,} whether it has a {\it Nash equilibrium} with certain natural properties; such decision problems were early known to be ${\mathcal{NP}}$-hard~\cite{GZ89}. We show that…

计算复杂性 · 计算机科学 2019-07-25 Vittorio Bilò , Marios Mavronicolas

Under the assumption of complete rationality, Nash equilibrium is the only reasonable strategy (set) of the finitely repeated prisoner's dilemma. In fact, some strategies only slightly deviate from the so-called rationality, and the…

计算机科学与博弈论 · 计算机科学 2014-01-09 Xuegong Deng

Game-theoretic techniques and equilibria analysis facilitate the design and verification of competitive systems. While algorithmic complexity of equilibria computation has been extensively studied, practical implementation and application…

计算机科学与博弈论 · 计算机科学 2022-02-02 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos

We study a very general class of games --- multi-dimensional aggregative games --- which in particular generalize both anonymous games and weighted congestion games. For any such game that is also large, we solve the equilibrium selection…

数据结构与算法 · 计算机科学 2015-02-26 Rachel Cummings , Michael Kearns , Aaron Roth , Zhiwei Steven Wu

Experimental economics has repeatedly demonstrated that the Nash equilibrium makes inaccurate predictions for a vast set of games. Instead, several alternative theoretical concepts predict behavior that is much more in tune with observed…

综合金融 · 定量金融 2015-03-17 Christian Hilbe

The Bin Packing Problem involves efficiently packing items into a limited number of bins without exceeding their capacity. In this paper, we try to answer a specific question in this field. Mathematically the combinatorial optimization…

综合数学 · 数学 2025-08-25 Angshuman Robin Goswami