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We analyze a tree search problem with an underlying Markov decision process, in which the goal is to identify the best action at the root that achieves the highest cumulative reward. We present a new tree policy that optimally allocates a…

Systems and Control · Electrical Eng. & Systems 2020-09-29 Yunchuan Li , Michael C. Fu , Jie Xu

Since a few years there is an increasing interest in minimizing the energy consumption of computing systems. However in a shared computing system, users want to optimize their experienced quality of service, at the price of a high energy…

Data Structures and Algorithms · Computer Science 2018-05-30 Christoph Dürr , Łukasz Jeż , Oscar C. Vásquez

A key question in cooperative game theory is that of coalitional stability, usually captured by the notion of the \emph{core}--the set of outcomes such that no subgroup of players has an incentive to deviate. However, some coalitional games…

Computer Science and Game Theory · Computer Science 2010-10-21 Yoram Bachrach , Edith Elkind , Reshef Meir , Dmitrii Pasechnik , Michael Zuckerman , Joerg Rothe , Jeffrey S. Rosenschein

We present a general framework to model strategic aspects and stable and fair resource allocations in networks via variants and generalizations of path coalitional games. In these games, a coalition of edges or vertices is successful if it…

Computer Science and Game Theory · Computer Science 2011-04-28 Haris Aziz , Troels Bjerre Sørensen

We study the problem of designing systems in order to minimize cost while meeting a given flexibility target. Flexibility is attained by enforcing a joint chance constraint, which ensures that the system will exhibit feasible operation with…

Optimization and Control · Mathematics 2021-06-25 Joshua L. Pulsipher , Victor M. Zavala

Cooperative games provide a framework for fair and stable profit allocation in multi-agent systems. \emph{Core}, \emph{least-core} and \emph{nucleolus} are such solution concepts that characterize stability of cooperation. In this paper, we…

Computer Science and Game Theory · Computer Science 2014-09-23 Qizhi Fang , Bo Li , Xiaoming Sun , Jia Zhang , Jialin Zhang

Sharing economy has disrupted many industries. We foresee that electricity storage systems could be the enabler for sharing economy in electricity sector, though its implementation is a delicate task. Unlike in the 2-tier Time-of-Use (ToU)…

Systems and Control · Electrical Eng. & Systems 2019-12-10 Kui Wang , Yang Yu , Chenye Wu

The problem of finding the $k$ most critical nodes, referred to as the $top\text{-}k$ problem, is a very important one in several contexts such as information diffusion and preference aggregation in social networks, clustering of data…

Social and Information Networks · Computer Science 2017-02-08 Swapnil Dhamal , Akanksha Meghlan , Y. Narahari

Designing distributed algorithms for multi-agent problems is vital for many emerging application domains, and game-theoretic approaches are emerging as a useful paradigm to design such algorithms. However, much of the emphasis of the…

Systems and Control · Electrical Eng. & Systems 2024-05-03 Rohit Konda , Rahul Chandan , David Grimsman , Jason R. Marden

We study the computational complexity of fairly allocating indivisible, mixed-manna items. For basic measures of fairness, this problem is hard in general. Thus, research has flourished concerning input classes where efficient algorithms…

Data Structures and Algorithms · Computer Science 2024-09-09 Klaus Jansen , Alexandra Lassota , Malte Tutas , Adrian Vetta

In this paper, we study the classic submodular maximization problem subject to a group equality constraint under both non-adaptive and adaptive settings. It has been shown that the utility function of many machine learning applications,…

Machine Learning · Computer Science 2023-08-30 Shaojie Tang , Jing Yuan

For many users of Satisfiability Modulo Theories (SMT) solvers, the solver's performance is the main bottleneck in their application. One promising approach for improving performance is to leverage the increasing availability of parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-12 Amalee Wilson , Andres Noetzli , Andrew Reynolds , Byron Cook , Cesare Tinelli , Clark Barrett

We design and analyze minimax-optimal algorithms for online linear optimization games where the player's choice is unconstrained. The player strives to minimize regret, the difference between his loss and the loss of a post-hoc benchmark…

Machine Learning · Computer Science 2013-02-12 H. Brendan McMahan

In this paper, we present a distributed algorithm for solving convex, constraint-coupled, optimization problems over peer-to-peer networks. We consider a network of processors that aim to cooperatively minimize the sum of local cost…

Optimization and Control · Mathematics 2021-04-14 Andrea Camisa , Alessia Benevento , Giuseppe Notarstefano

Deriving competitive, distributed solutions to multi-agent problems is crucial for many developing application domains; Game theory has emerged as a useful framework to design such algorithms. However, much of the attention within this…

Systems and Control · Electrical Eng. & Systems 2024-06-27 Rohit Konda , Rahul Chandan , David Grimsman , Jason R. Marden

Nowadays, it has become feasible to use mobile nodes as contributing entities in computing systems. In this paper, we consider a computational grid in which the mobile devices can share their idle resources to realize parallel processing.…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-20 Jiadi Chen , Qiang Zheng , Hang Long , Wenbo Wang

Cooperative games provide a framework to study cooperation among self-interested agents. They offer a number of solution concepts describing how the outcome of the cooperation should be shared among the players. Unfortunately, computational…

Computer Science and Game Theory · Computer Science 2017-11-28 Ayumi Igarashi , Rani Izsak , Edith Elkind

In many multi-agent settings, participants can form teams to achieve collective outcomes that may far surpass their individual capabilities. Measuring the relative contributions of agents and allocating them shares of the reward that…

Machine Learning · Computer Science 2022-08-19 Daphne Cornelisse , Thomas Rood , Mateusz Malinowski , Yoram Bachrach , Tal Kachman

Distributed online optimization and game have been increasingly researched in the last decade, mostly motivated by its wide applications in sensor networks, robotics (e.g., distributed target tracking and formation control), smart grids,…

Machine Learning · Computer Science 2023-01-24 Xiuxian Li , Lihua Xie , Na Li

Network slicing to enable resource sharing among multiple tenants --network operators and/or services-- is considered a key functionality for next generation mobile networks. This paper provides an analysis of a well-known model for…

Computer Science and Game Theory · Computer Science 2017-02-21 Pablo Caballero , Albert Banchs , Gustavo de Veciana , Xavier Costa-Perez