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We prove that every finite two-person shortest path game, where the local cost of every move is positive for each player, has a Nash equilibrium (NE) in pure stationary strategies, which can be computed in polynomial time. We also extend…

离散数学 · 计算机科学 2025-05-22 Endre Boros , Khaled Elbassioni , Vladimir Gurvich , Mikhail Vyalyi

We study bottleneck routing games where the social cost is determined by the worst congestion on any edge in the network. Bottleneck games have been studied in the literature by having the player's utility costs to be determined by the…

计算机科学与博弈论 · 计算机科学 2009-11-24 Rajgopal Kannan , Costas Busch

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

Spatial evolution game has traditionally assumed that players interact with neighbors on a single network, which is isolated and not influenced by other systems. We introduce the simple game model into the interdependent networks composed…

物理与社会 · 物理学 2015-03-20 Qing Jin , Zhen Wang

Network Creation Games are an important framework for understanding the formation of real-world networks. These games usually assume a set of indistinguishable agents strategically buying edges at a uniform price leading to a network among…

计算机科学与博弈论 · 计算机科学 2022-05-02 Martin Bullinger , Pascal Lenzner , Anna Melnichenko

We study a multi-player one-round game termed Stackelberg Network Pricing Game, in which a leader can set prices for a subset of $m$ priceable edges in a graph. The other edges have a fixed cost. Based on the leader's decision one or more…

数据结构与算法 · 计算机科学 2008-02-21 Patrick Briest , Martin Hoefer , Piotr Krysta

One of the natural objectives of the field of the social networks is to predict agents' behaviour. To better understand the spread of various products through a social network arXiv:1105.2434 introduced a threshold model, in which the nodes…

计算机科学与博弈论 · 计算机科学 2013-04-09 Sunil Simon , Krzysztof R. Apt

Network Creation Games(NCGs) model the creation of decentralized communication networks like the Internet. In such games strategic agents corresponding to network nodes selfishly decide with whom to connect to optimize some objective…

计算机科学与博弈论 · 计算机科学 2020-06-29 Hagen Echzell , Tobias Friedrich , Pascal Lenzner , Anna Melnichenko

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

Celebrity games, a new model of network creation games is introduced. The specific features of this model are that players have different celebrity weights and that a critical distance is taken into consideration. The aim of any player is…

计算机科学与博弈论 · 计算机科学 2016-07-22 Carme Àlvarez , Maria Blesa , Amalia Duch , Arnau Messegué , Maria Serna

Most networks are not static objects, but instead they change over time. This observation has sparked rigorous research on temporal graphs within the last years. In temporal graphs, we have a fixed set of nodes and the connections between…

计算机科学与博弈论 · 计算机科学 2023-05-23 Davide Bilò , Sarel Cohen , Tobias Friedrich , Hans Gawendowicz , Nicolas Klodt , Pascal Lenzner , George Skretas

Today's networks consist of many autonomous entities that follow their own objectives, i.e., smart devices or parts of large AI systems, that are interconnected. Given the size and complexity of most communication networks, each entity…

计算机科学与博弈论 · 计算机科学 2026-02-02 Pascal Lenzner , Paraskevi Machaira

We study network games in which players choose both the partners with whom they associate and an action level (e.g., effort) that creates spillovers for those partners. We introduce a framework and two solution concepts, extending standard…

理论经济学 · 经济学 2024-02-07 Evan Sadler , Benjamin Golub

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

The semi-random graph process is a single-player game that begins with an empty graph on $n$ vertices. In each round, a vertex $u$ is presented to the player independently and uniformly at random. The player then adaptively selects a vertex…

组合数学 · 数学 2024-03-05 Natalie C. Behague , Trent G. Marbach , Pawel Pralat , Andrzej Rucinski

We introduce a new class of network allocation games called graphical distance preservation games. Here, we are given a graph, called a topology, and a set of agents that need to be allocated to its vertices. Moreover, every agent has an…

计算机科学与博弈论 · 计算机科学 2026-02-19 Argyrios Deligkas , Eduard Eiben , Tiger-Lily Goldsmith , Dušan Knop , Šimon Schierreich

Various social dilemma games that follow different strategy updating rules have been studied on many networks.The reported results span the entire spectrum, from significantly boosting,to marginally affecting,to seriously decreasing the…

物理与社会 · 物理学 2015-06-17 Qiang Zhang , Tianxiao Qi , Keqiang Li , Zengru Di , Jinshan Wu

Strategic network formation arises where agents receive benefit from connections to other agents, but also incur costs for forming links. We consider a new network formation game that incorporates an adversarial attack, as well as…

计算机科学与博弈论 · 计算机科学 2016-11-10 Sanjeev Goyal , Shahin Jabbari , Michael Kearns , Sanjeev Khanna , Jamie Morgenstern

In multicast network design games, a set of agents choose paths from their source locations to a common sink with the goal of minimizing their individual costs, where the cost of an edge is divided equally among the agents using it. Since…

数据结构与算法 · 计算机科学 2016-10-21 Rupert Freeman , Samuel Haney , Debmalya Panigrahi

In the network creation game with n vertices, every vertex (a player) buys a set of adjacent edges, each at a fixed amount {\alpha} > 0. It has been conjectured that for {\alpha} >= n, every Nash equilibrium is a tree, and has been…

计算机科学与博弈论 · 计算机科学 2013-10-31 Akaki Mamageishvili , Matus Mihalak , Dominik Muller