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Motivated by understanding non-strict and strict pure strategy equilibria in network anti-coordination games, we define notions of stable and, respectively, strictly stable colorings in graphs. We characterize the cases when such colorings…

计算机科学与博弈论 · 计算机科学 2013-08-16 Jeremy Kun , Brian Powers , Lev Reyzin

Global coordination is required to solve a wide variety of challenging collective action problems from network colorings to the tragedy of the commons. Recent empirical study shows that the presence of a few noisy autonomous agents can…

物理与社会 · 物理学 2024-06-14 Matthew I. Jones , Scott D. Pauls , Feng Fu

In order to coordinate players in a game must first identify a target pattern of behaviour. In this paper we investigate the difficulty of identifying prominent outcomes in two kinds of binary action coordination problems in social…

理论经济学 · 经济学 2023-11-21 Argyrios Deligkas , Eduard Eiben , Gregory Gutin , Philip R. Neary , Anders Yeo

Graph matching consists of aligning the vertices of two unlabeled graphs in order to maximize the shared structure across networks; when the graphs are unipartite, this is commonly formulated as minimizing their edge disagreements. In this…

机器学习 · 统计学 2021-04-13 Jesús Arroyo , Carey E. Priebe , Vince Lyzinski

Identifying the sets of operations that can be executed simultaneously is an important problem appearing in many parallel applications. By modeling the operations and their interactions as a graph, one can identify the independent…

分布式、并行与集群计算 · 计算机科学 2014-07-28 Ahmet Erdem Sarıyüce , Erik Saule , Ümit V. Çatalyürek

Communities typically capture homophily as people of the same community share many common features. This paper is motivated by the problem of community detection in social networks, as it can help improve our understanding of the network…

计算机科学与博弈论 · 计算机科学 2017-09-01 Radhika Arava

Humans have an impressive ability to solve complex coordination problems in a fully distributed manner. This ability, if learned as a set of distributed multirobot coordination strategies, can enable programming large groups of robots to…

机器人学 · 计算机科学 2016-04-21 Arash Tavakoli , Haig Nalbandian , Nora Ayanian

Graph colorings have been of interest to mathematicians for a long time, but relatively recently, social scientists have also found them to be interesting tools for studying group behavior. In the last 20 years, scientists have begun to…

组合数学 · 数学 2026-03-20 Matthew I. Jones , Zachary Winkeler

Combinatorial optimization is a fundamental problem found in many fields. In many real life situations, the constraints and the objective function forming the optimization problem are naturally distributed amongst different sites in some…

密码学与安全 · 计算机科学 2018-03-16 Yuan Hong , Jaideep Vaidya , Haibing Lu

We consider the control of decentralized learning dynamics for agents in an anti-coordination network game. In the anti-coordination network game, there is a preferred action in the absence of neighbors' actions, and the utility an agent…

最优化与控制 · 数学 2022-07-04 Soham Das , Ceyhun Eksin

Given a large social or information network, how can we partition the vertices into sets (i.e., colors) such that no two vertices linked by an edge are in the same set while minimizing the number of sets used. Despite the obvious practical…

社会与信息网络 · 计算机科学 2014-08-27 Ryan A. Rossi , Nesreen K. Ahmed

One of the fundamental and most-studied algorithmic problems in distributed computing on networks is graph coloring, both in bounded-degree and in general graphs. Recently, the study of this problem has been extended in two directions.…

分布式、并行与集群计算 · 计算机科学 2021-09-14 Nicolas Bousquet , Laurent Feuilloley , Marc Heinrich , Mikaël Rabie

We consider the graph coloring game, a game in which two players take turns properly coloring the vertices of a graph, with one player attempting to complete a proper coloring, and the other player attempting to prevent a proper coloring.…

组合数学 · 数学 2021-11-10 Peter Bradshaw

We introduce two novel evolutionary formulations of the problem of coloring the nodes of a graph. The first formulation is based on the relationship that exists between a graph's chromatic number and its acyclic orientations. It views such…

神经与进化计算 · 计算机科学 2007-05-23 V. C. Barbosa , C. A. G. Assis , J. O. do Nascimento

The network coloring game has been proposed in the literature of social sciences as a model for conflict-resolution circumstances. The players of the game are the vertices of a graph with $n$ vertices and maximum degree $\Delta$. The game…

离散数学 · 计算机科学 2022-04-01 Nikolaos Fryganiotis , Symeon Papavassiliou , Christos Pelekis

We investigate the difficulty of finding economically efficient solutions to coordination problems on graphs. Our work focuses on two forms of coordination problem: pure-coordination games and anti-coordination games. We consider three…

计算机科学与博弈论 · 计算机科学 2023-05-15 Argyrios Deligkas , Eduard Eiben , Gregory Gutin , Philip R. Neary , Anders Yeo

We initiate the study of a quantity that we call coordination complexity. In a distributed optimization problem, the information defining a problem instance is distributed among $n$ parties, who need to each choose an action, which jointly…

数据结构与算法 · 计算机科学 2016-01-06 Rachel Cummings , Katrina Ligett , Jaikumar Radhakrishnan , Aaron Roth , Zhiwei Steven Wu

Groups of humans are often able to find ways to cooperate with one another in complex, temporally extended social dilemmas. Models based on behavioral economics are only able to explain this phenomenon for unrealistic stateless matrix…

In this paper, we focus on the uniform bipartition problem in the population protocol model. This problem aims to divide a population into two groups of equal size. In particular, we consider the problem in the context of \emph{arbitrary}…

分布式、并行与集群计算 · 计算机科学 2020-11-19 Hiroto Yasumi , Fukuhito Ooshita , Michiko Inoue , Sébastien Tixeuil

In parallel computing, a valid graph coloring yields a lock-free processing of the colored tasks, data points, etc., without expensive synchronization mechanisms. However, coloring is not free and the overhead can be significant. In…

分布式、并行与集群计算 · 计算机科学 2017-01-11 Mustafa Kemal Taş , Kamer Kaya , Erik Saule
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