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We consider a general online stochastic optimization problem with multiple budget constraints over a horizon of finite time periods. In each time period, a reward function and multiple cost functions are revealed, and the decision maker…

Machine Learning · Computer Science 2022-07-26 Jiashuo Jiang , Xiaocheng Li , Jiawei Zhang

We introduce a novel framework to model limited lookahead in congestion games. Intuitively, the players enter the game sequentially and choose an optimal action under the assumption that the $k-1$ subsequent players play subgame-perfectly.…

Computer Science and Game Theory · Computer Science 2018-04-20 Carla Groenland , Guido Schäfer

Infrastructure networks are vulnerable to both cyber and physical attacks. Building a secure and resilient networked system is essential for providing reliable and dependable services. To this end, we establish a two-player three-stage game…

Systems and Control · Electrical Eng. & Systems 2019-06-19 Juntao Chen , Corinne Touati , Quanyan Zhu

Cascade processes are responsible for many important phenomena in natural and social sciences. Simple models of irreversible dynamics on graphs, in which nodes activate depending on the state of their neighbors, have been successfully…

Disordered Systems and Neural Networks · Physics 2013-09-16 Fabrizio Altarelli , Alfredo Braunstein , Luca Dall'Asta , Riccardo Zecchina

We prove impossibility results for adaptivity in non-smooth stochastic convex optimization. Given a set of problem parameters we wish to adapt to, we define a "price of adaptivity" (PoA) that, roughly speaking, measures the multiplicative…

Optimization and Control · Mathematics 2024-06-28 Yair Carmon , Oliver Hinder

We consider a fundamental game theoretic problem concerning selfish users contributing packets to an M/M/1 queue. In this game, each user controls its own input rate so as to optimize a desired tradeoff between throughput and delay. We…

Computer Science and Game Theory · Computer Science 2016-11-17 Yi Gai , Hua Liu , Bhaskar Krishnamachari

In this paper, we first consider a pinning node selection and control gain co-design problem for complex networks. A necessary and sufficient condition for the synchronization of the pinning controlled networks at a homogeneous state is…

Systems and Control · Electrical Eng. & Systems 2019-09-04 Yuzhe Li , Dawei Shi , Tongwen Chen

In the context of networking, research has focused on non-cooperative games, where the selfish agents cannot reach a binding agreement on the way they would share the infrastructure. Many approaches have been proposed for mitigating the…

Networking and Internet Architecture · Computer Science 2016-01-19 Gideon Blocq , Ariel Orda

We consider a general online network design problem where a sequence of N requests arrive over time, each of which needs to use some subset of the available resources E. The cost incurred by any resource e is some function $f_e$ of the…

Data Structures and Algorithms · Computer Science 2020-07-16 Viswanath Nagarajan , Lily Wang

We consider a sharing economy network where agents embedded in a graph share their resources. This is a fundamental model that abstracts numerous emerging applications of collaborative consumption systems. The agents generate a random…

Computer Science and Game Theory · Computer Science 2017-03-29 Leonidas Georgiadis , George Iosifidis , Leandros Tassiulas

This paper proposes a bilevel transit network design problem considering supply side uncertainty. The upper level problem determines frequency settings to simultaneously maximize the efficiency and equity measures, which are defined by the…

Physics and Society · Physics 2020-05-06 Yu Jiang

In this paper we consider a network of processors aiming at cooperatively solving linear programming problems subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2019-08-27 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Roland Bouffanais

The stability and the predictability of a computer network algorithm's performance are as important as the main functional purpose of networking software. However, asserting or deriving such properties from the finite state machine…

Software Engineering · Computer Science 2013-06-07 Massimo Monti , Pierre Imai , Christian Tschudin

Network architecture design is very important for the optimization of industrial networks. The type of network architecture can be divided into small-scale network and large-scale network according to its scale. Graph theory is an efficient…

Social and Information Networks · Computer Science 2022-09-20 Chao Dong , Xiaoxiong Xiong , Qiulin Xue , Zhengzhen Zhang , Kai Niu , Ping Zhang

We consider a wireless communication system in which $N$ transmitter-receiver pairs want to communicate with each other. Each transmitter transmits data at a certain rate using a power that depends on the channel gain to its receiver. If a…

Information Theory · Computer Science 2016-02-04 Krishna Chaitanya A , Vinod Sharma , Utpal Mukherji

We study a class of stochastic optimal design problems for elliptic partial differential equations in divergence form, where the coefficients represent mixtures of two conducting materials. The objective is to minimize a generalized risk…

Optimization and Control · Mathematics 2026-02-24 Amal Alphonse , Petar Kunštek , Marko Vrdoljak

The Survivable Network Design problem (SNDP) is a well-studied problem, motivated by the design of networks that are robust to faults under the assumption that any subset of edges up to a specific number can fail. We consider non-uniform…

Data Structures and Algorithms · Computer Science 2024-03-26 Chandra Chekuri , Rhea Jain

Cooperative equilibria are fragile. When agents learn alongside each other rather than in a fixed environment, the process of learning destabilizes the cooperation they are trying to sustain: every gradient step an agent takes shifts the…

Computer Science and Game Theory · Computer Science 2026-04-20 Deep Kumar Ganguly , Chandradithya S Jonnalagadda , Pratham Chintamani , Adithya Ananth

Network creation games investigate complex networks from a game-theoretic point of view. Based on the original model by Fabrikant et al. [PODC'03] many variants have been introduced. However, almost all versions have the drawback that edges…

Computer Science and Game Theory · Computer Science 2017-07-03 Ankit Chauhan , Pascal Lenzner , Anna Melnichenko , Louise Molitor

Stochastic matching is the stochastic version of the well-known matching problem, which consists in maximizing the rewards of a matching under a set of probability distributions associated with the nodes and edges. In most stochastic…

Optimization and Control · Mathematics 2024-05-01 Yuya Hikima , Yasunori Akagi , Hideaki Kim