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We investigate hide-and-seek games on complex networks using a random walk framework. Specifically, we investigate the efficiency of various degree-biased random walk search strategies to locate items that are randomly hidden on a subset of…

Physics and Society · Physics 2019-02-20 Shubham Pandey , Reimer Kuehn

We propose a dynamical process for network evolution, aiming at explaining the emergence of the small world phenomenon, i.e., the statistical observation that any pair of individuals are linked by a short chain of acquaintances computable…

Data Structures and Algorithms · Computer Science 2008-03-04 Augustin Chaintreau , Pierre Fraigniaud , Emmanuelle Lebhar

By combining quantum simulations of electron transport and scanning-gate microscopy, we have shown that the current transmitted through a semiconductor two-path rectangular network in the ballistic and coherent regimes of transport can be…

Mesoscale and Nanoscale Physics · Physics 2013-12-09 S. Huant , S. Baltazar , P. Liu , H. Sellier , B. Hackens , F. Martins , V. Bayot , X. Wallart , L. Desplanque , M. G. Pala

Recently, Apt and Markakis introduced a model for product adoption in social networks with multiple products, where the agents, influenced by their neighbours, can adopt one out of several alternatives (products). To analyze these networks…

Computer Science and Game Theory · Computer Science 2013-07-18 Krzysztof R. Apt , Sunil Simon

Given the dynamic nature of traffic, we investigate the variant of robust network design where we have to determine the capacity to reserve on each link so that each demand vector belonging to a polyhedral set can be routed. The objective…

Computational Complexity · Computer Science 2021-01-29 Yacine Al-Najjar , Walid Ben-Ameur , Jeremie Leguay

Adversarial optimal transport has been proven useful as a mathematical formulation to model resource allocation problems to maximize the efficiency of transportation with an adversary, who modifies the data. It is often the case, however,…

Computer Science and Game Theory · Computer Science 2024-03-05 Yinan Hu , Juntao Chen , Quanyan Zhu

In this work, we analyse the relationship between heterogeneity and cooperation. Previous investigations suggest that this relation is nontrivial, as some authors found that heterogeneity sustains cooperation, while others obtained…

Physics and Society · Physics 2020-06-25 Marco A. Amaral , Marco A. Javarone

Varied real world systems such as transportation networks, supply chains and energy grids present coordination problems where many agents must learn to share resources. It is well known that the independent and selfish interactions of…

Computer Science and Game Theory · Computer Science 2025-02-27 Cesare Carissimo , Marcin Korecki , Damian Dailisan

We study the minimum backlog problem (MBP). This online problem arises, e.g., in the context of sensor networks. We focus on two main variants of MBP. The discrete MBP is a 2-person game played on a graph $G=(V,E)$. The player is initially…

Emerging reconfigurable optical communication technologies allow to enhance datacenter topologies with demand-aware links optimized towards traffic patterns. This paper studies the algorithmic problem of jointly optimizing topology and…

Performance · Computer Science 2024-01-10 Wenkai Dai , Michael Dinitz , Klaus-Tycho Foerster , Long Luo , Stefan Schmid

Recent transportation network studies on uncertainty and reliability call for modeling the probabilistic O-D demand and probabilistic network flow. Making the best use of day-to-day traffic data collected over many years, this paper…

Methodology · Statistics 2024-12-20 Wei Ma , Zhen Qian

In \emph{bandwidth allocation games} (BAGs), the strategy of a player consists of various demands on different resources. The player's utility is at most the sum of these demands, provided they are fully satisfied. Every resource has a…

Computer Science and Game Theory · Computer Science 2018-07-10 Maximilian Drees , Matthias Feldotto , Sören Riechers , Alexander Skopalik

We investigate a location-allocation-routing problem where trucks deliver goods from a central production facility to a set of warehouses with fixed locations and known demands. Due to limited capacities congestion occurs and results in…

Optimization and Control · Mathematics 2022-08-09 Vanessa Lange , Hans Daduna

We present an incentive model for route distribution in the context of path vector routing protocols and we focus on the Border Gateway Protocol (BGP). BGP is the de-facto protocol for interdomain routing on the Internet. We model BGP route…

Computer Science and Game Theory · Computer Science 2009-09-22 Joud Khoury , Chaouki T. Abdallah , Kate Krause , Jorge Crichigno

The problem of Multi-Agent Path Finding (MAPF) calls for finding a set of conflict-free paths for a fleet of agents operating in a given environment. Arguably, the state-of-the-art approach to computing optimal solutions is Conflict-Based…

Multiagent Systems · Computer Science 2021-04-20 Ofir Gordon , Yuval Filmus , Oren Salzman

There has been a long debate on how new levels of organization have evolved. It might seem unlikely, as cooperation must prevail over competition. One well-studied example is the emergence of autocatalytic sets, which seem to be a…

Populations and Evolution · Quantitative Biology 2026-02-16 Sean P. Maley , Carlos Gershenson , Stuart A. Kauffman

In this paper, we consider the bandwidth-delay-hop constrained routing problem in large-scaled software defined networks. A number of demands, each of which specifies a source vertex and a sink vertex, are required to route in a given…

Networking and Internet Architecture · Computer Science 2019-02-28 Chenyang Xu , Liangde Tao , Huajingling Wu , Deshi Ye , Guochuan Zhang

We consider congestion games on networks with nonatomic users and user-specific costs. We are interested in the uniqueness property defined by Milchtaich [Milchtaich, I. 2005. Topological conditions for uniqueness of equilibrium in…

Computer Science and Game Theory · Computer Science 2013-10-16 Frédéric Meunier , Thomas Pradeau

This paper analyzes simultaneous route-and-departure-time (SRDT) dynamic user equilibrium (DUE) that incorporates the notion of boundedly rational (BR) user behavior in the selection of departure time and route choices. Intrinsically, the…

Optimization and Control · Mathematics 2016-03-25 Ke Han , W. Y. Szeto , Terry L. Friesz

The analysis of network routing games typically assumes, right at the onset, precise and detailed information about the latency functions. Such information may, however, be unavailable or difficult to obtain. Moreover, one is often…

Computer Science and Game Theory · Computer Science 2014-08-08 Umang Bhaskar , Katrina Ligett , Leonard J. Schulman , Chaitanya Swamy