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We study {\em bottleneck routing games} where the social cost is determined by the worst congestion on any edge in the network. In the literature, bottleneck games assume player utility costs determined by the worst congested edge in their…

计算机科学与博弈论 · 计算机科学 2015-05-18 Rajgopal Kannan , Costas Busch

An atomic routing game is a multiplayer game on a directed graph. Each player in the game chooses a path -- a sequence of links that connect its origin node to its destination node -- with the lowest cost, where the cost of each link is a…

计算机科学与博弈论 · 计算机科学 2023-05-19 Yue Yu , Shenghui Chen , David Fridovich-Keil , Ufuk Topcu

Distributed Nash equilibrium (NE) seeking problem for multi-coalition games has attracted increasing attention in recent years, but the research mainly focuses on the case without agreement demand within coalitions. This paper considers a…

最优化与控制 · 数学 2021-12-10 Jialing Zhou , Yuezu Lv , Guanghui Wen , Jinhu Lv , Dezhi Zheng

We study stable matching problems in networks where players are embedded in a social context, and may incorporate friendship relations or altruism into their decisions. Each player is a node in a social network and strives to form a good…

计算机科学与博弈论 · 计算机科学 2012-04-27 Elliot Anshelevich , Onkar Bhardwaj , Martin Hoefer

An active line of research has considered games played on networks in which payoffs depend on both a player's individual decision and also the decisions of her neighbors. Such games have been used to model issues including the formation of…

计算机科学与博弈论 · 计算机科学 2013-05-01 Flavio Chierichetti , Jon Kleinberg , Sigal Oren

The Internet has emerged as perhaps the most important network in modern computing, but rather miraculously, it was created through the individual actions of a multitude of agents rather than by a central planning authority. This motivates…

组合数学 · 数学 2013-07-12 Ronald Graham , Linus Hamilton , Ariel Levavi , Po-Shen Loh

This paper considers a distributed gossip approach for finding a Nash equilibrium in networked games on graphs. In such games a player's cost function may be affected by the actions of any subset of players. An interference graph is…

计算机科学与博弈论 · 计算机科学 2020-04-10 Farzad Salehisadaghiani , Lacra Pavel

We propose a type of non-cooperative game, termed multi-cluster aggregative game, which is composed of clusters as players, where each cluster consists of collaborative agents with cost functions depending on their own decisions and the…

多智能体系统 · 计算机科学 2023-05-16 Yue Chen , Peng Yi

We analyze a game-theoretic abstraction of epidemic containment played on an undirected graph $G$: each player is associated with a node in $G$ and can either acquire protection from a contagious process or risk infection. After decisions…

计算机科学与博弈论 · 计算机科学 2023-04-25 Mason DiCicco , Henry Poskanzer , Daniel Reichman

One of the major outstanding foundational problems about boolean functions is the sensitivity conjecture, which (in one of its many forms) asserts that the degree of a boolean function (i.e. the minimum degree of a real polynomial that…

计算复杂性 · 计算机科学 2015-11-25 Justin Gilmer , Michal Koucký , Michael Saks

Designing optimal interdependent networks is important for the robustness and efficiency of national critical infrastructures. Here, we establish a two-person game-theoretic model in which two network designers choose to maximize the global…

社会与信息网络 · 计算机科学 2016-02-26 Juntao Chen , Quanyan Zhu

In this paper we show that the price of stability of Shapley network design games on undirected graphs with k players is at most (k^3(k+1)/2-k^2) / (1+k^3(k+1)/2-k^2) H_k = (1 - \Theta(1/k^4)) H_k, where H_k denotes the k-th harmonic…

计算机科学与博弈论 · 计算机科学 2013-03-25 Yann Disser , Andreas Emil Feldmann , Max Klimm , Matúš Mihalák

The robustness of multiagent systems can be affected by mistakes or behavioral biases (e.g., risk-aversion, altruism, toll-sensitivity), with some agents playing the "wrong game." This can change the set of equilibria, and may in turn harm…

计算机科学与博弈论 · 计算机科学 2018-03-14 Reshef Meir , David Parkes

The decisions that human beings make to allocate time has significant bearing on economic output and to the sustenance of social networks. The time allocation problem motivates our formal analysis of the resource allocation game, where…

计算机科学与博弈论 · 计算机科学 2018-08-28 Wei-Chun Lee , Vasilis Livanos , Ruta Mehta , Hari Sundaram

How do rational agents self-organize when trying to connect to a common target? We study this question with a simple tree formation game which is related to the well-known fair single-source connection game by Anshelevich et al. (FOCS'04)…

计算机科学与博弈论 · 计算机科学 2020-09-24 Davide Bilò , Tobias Friedrich , Pascal Lenzner , Anna Melnichenko , Louise Molitor

We introduce natural strategic games on graphs, which capture the idea of coordination in a local setting. We study the existence of equilibria that are resilient to coalitional deviations of unbounded and bounded size (i.e., strong…

计算机科学与博弈论 · 计算机科学 2016-10-19 Krzysztof R. Apt , Bart de Keijzer , Mona Rahn , Guido Schaefer , Sunil Simon

We give exponential lower bounds on the Price of Stability (PoS) of weighted congestion games with polynomial cost functions. In particular, for any positive integer $d$ we construct rather simple games with cost functions of degree at most…

计算机科学与博弈论 · 计算机科学 2019-08-27 George Christodoulou , Martin Gairing , Yiannis Giannakopoulos , Paul G. Spirakis

We study a general scenario of simultaneous contests that allocate prizes based on equal sharing: each contest awards its prize to all players who satisfy some contest-specific criterion, and the value of this prize to a winner decreases as…

计算机科学与博弈论 · 计算机科学 2022-07-19 Edith Elkind , Abheek Ghosh , Paul W. Goldberg

We consider a game where a finite number of retailers choose a location, given that their potential consumers are distributed on a network. Retailers do not compete on price but only on location, therefore each consumer shops at the closest…

计算机科学与博弈论 · 计算机科学 2019-01-03 Gaëtan Fournier , Marco Scarsini

We study the interaction between a network designer and an adversary over a dynamical network. The network consists of nodes performing continuous-time distributed averaging. The adversary strategically disconnects a set of links to prevent…

系统与控制 · 计算机科学 2015-02-23 Ali Khanafer , Tamer Başar