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We consider a gossip approach for finding a Nash equilibrium in a distributed multi-player network game. We extend previous results on Nash equilibrium seeking to the case when the players' cost functions may be affected by the actions of…

Systems and Control · Computer Science 2017-05-09 Farzad Salehisadaghiani , Lacra Pavel

The online dominating set problem is an online variant of the minimum dominating set problem, which is one of the most important NP-hard problems on graphs. This problem is defined as follows: Given an undirected graph $G = (V, E)$, in…

Data Structures and Algorithms · Computer Science 2017-11-01 Koji M. Kobayashi

We investigate packet routing games in which network users selfishly route themselves through a network over discrete time, aiming to reach the destination as quickly as possible. Conflicts due to limited capacities are resolved by the…

Computer Science and Game Theory · Computer Science 2025-02-10 Daniel Schmand , Torben Schürenberg , Martin Strehler

We initiate a formal study of fairness for the $k$-server problem, where the objective is not only to minimize the total movement cost, but also to distribute the cost equitably among servers. We first define a general notion of…

Data Structures and Algorithms · Computer Science 2025-12-25 Mohammadreza Daneshvaramoli , Helia Karisani , Mohammad Hajiesmaili , Shahin Kamali , Cameron Musco

We study a pricing game in multi-hop relay networks where nodes price their services and route their traffic selfishly and strategically. In this game, each node (1) announces pricing functions which specify the payments it demands from its…

Computer Science and Game Theory · Computer Science 2007-10-15 Yufang Xi , Edmund M. Yeh

According to the proportional allocation mechanism from the network optimization literature, users compete for a divisible resource -- such as bandwidth -- by submitting bids. The mechanism allocates to each user a fraction of the resource…

Computer Science and Game Theory · Computer Science 2014-02-17 Ioannis Caragiannis , Alexandros A. Voudouris

We study linear-quadratic games of incomplete information with Gaussian uncertainty, where each player's payoff depends on a privately observed type and a common state. The designer observes the state, elicits types, and sells action…

Computer Science and Game Theory · Computer Science 2025-11-04 Alessandro Bonatti , Munther A. Dahleh , Thibaut Horel

This paper considers the classic Online Steiner Forest problem where one is given a (weighted) graph $G$ and an arbitrary set of $k$ terminal pairs $\{\{s_1,t_1\},\ldots ,\{s_k,t_k\}\}$ that are required to be connected. The goal is to…

Data Structures and Algorithms · Computer Science 2021-11-22 Étienne Bamas , Marina Drygala , Andreas Maggiori

We study stochastic graph optimization problems in a novel distributed setting. As in the standard centralized setting, a random subgraph $G^*$ of a known base graph $G$ is realized by including each edge $e$ independently with a known…

Data Structures and Algorithms · Computer Science 2026-05-21 Keren Censor-Hillel , Aditi Dudeja , George Giakkoupis

Stochastic network design is a general framework for optimizing network connectivity. It has several applications in computational sustainability including spatial conservation planning, pre-disaster network preparation, and river network…

Artificial Intelligence · Computer Science 2016-12-02 Xiaojian Wu , Akshat Kumar , Daniel Sheldon , Shlomo Zilberstein

By leveraging information technologies, organizations now have the ability to design their communication networks and crowdsourcing platforms to pursue various performance goals, but existing research on network design does not account for…

Social and Information Networks · Computer Science 2013-08-15 Benjamin Lubin , Jesse Shore , Vatche Ishakian

This paper studies a stochastic game theoretic approach to security and intrusion detection in communication and computer networks. Specifically, an Attacker and a Defender take part in a two-player game over a network of nodes whose…

Cryptography and Security · Computer Science 2010-03-15 Kien C. Nguyen , Tansu Alpcan , Tamer Basar

We introduce the problem of finding a spanning tree along with a partition of the tree edges into fewest number of feasible sets, where constraints on the edges define feasibility. The motivation comes from wireless networking, where we…

Networking and Internet Architecture · Computer Science 2018-03-14 Magnus M. Halldorsson , Guy Kortsarz , Pradipta Mitra , Tigran Tonoyan

In this paper, we propose an optimization framework to design a network of positive linear systems whose structure switches according to a Markov process. The optimization framework herein proposed allows the network designer to optimize…

Optimization and Control · Mathematics 2019-03-19 Masaki Ogura , Victor M. Preciado

A social choice procedure is modeled as a repeated Nash game between the social agents, who are communicating with each other through a social communication network modeled by an undirected graph. The agents' criteria for this game are…

Systems and Control · Computer Science 2021-03-02 Athanasios-Rafail Lagos , George P. Papavassilopoulos

A central goal in algorithmic game theory is to analyze the performance of decentralized multiagent systems, like communication and information networks. In the absence of a central planner who can enforce how these systems are utilized,…

Computer Science and Game Theory · Computer Science 2022-05-10 Vasilis Gkatzelis , Kostas Kollias , Alkmini Sgouritsa , Xizhi Tan

We generalize the notions of user equilibrium and system optimum to non-atomic congestion games with stochastic demands. We establish upper bounds on the price of anarchy for three different settings of link cost functions and demand…

Computer Science and Game Theory · Computer Science 2013-10-21 Chenlan Wang , Xuan Vinh Doan , Bo Chen

Stochastic optimization is a widely used approach for optimization under uncertainty, where uncertain input parameters are modeled by random variables. Exact or approximation algorithms have been obtained for several fundamental problems in…

Machine Learning · Computer Science 2025-08-14 Arpit Agarwal , Rohan Ghuge , Viswanath Nagarajan , Zhengjia Zhuo

The purpose of a consensus protocol is to keep a distributed network of nodes "in sync," even in the presence of an unpredictable communication network and adversarial behavior by some of the participating nodes. In the permissionless…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-25 Eric Budish , Andrew Lewis-Pye , Tim Roughgarden

Optimization under uncertainty deals with the problem of optimizing stochastic cost functions given some partial information on their inputs. These problems are extremely difficult to solve and yet pervade all areas of technological and…

Statistical Mechanics · Physics 2015-03-13 Fabrizio Altarelli , Alfredo Braunstein , Abolfazl Ramezanpour , Riccardo Zecchina