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We consider stopping problems in which a decision maker (DM) faces an unknown state of nature and decides sequentially whether to stop and take an irreversible action; pay a fee and obtain additional information; or wait without acquiring…

Theoretical Economics · Economics 2022-05-16 Ehud Lehrer , Tao Wang

A decisionmaker faces $n$ alternatives, each of which represents a potential reward. After investing costly resources into investigating the alternatives, the decisionmaker may select one, or more generally a feasible subset, and obtain the…

Computer Science and Game Theory · Computer Science 2026-04-02 Robin Bowers , Elias Lindgren , Bo Waggoner

In the online Steiner tree problem, a sequence of points is revealed one-by-one: when a point arrives, we only have time to add a single edge connecting this point to the previous ones, and we want to minimize the total length of edges…

Data Structures and Algorithms · Computer Science 2013-10-23 Albert Gu , Anupam Gupta , Amit Kumar

In rendezvous, two agents traverse network edges in synchronous rounds and have to meet at some node. In treasure hunt, a single agent has to find a stationary target situated at an unknown node of the network. We study tradeoffs between…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-29 Avery Miller , Andrzej Pelc

Efficient probabilistic inference by variable elimination in graphical models requires an optimal elimination order. However, finding an optimal order is a challenging combinatorial optimisation problem for models with a large number of…

Artificial Intelligence · Computer Science 2025-03-13 Sagad Hamid , Tanya Braun

We study network design with a cost structure motivated by redundancy in data traffic. We are given a graph, g groups of terminals, and a universe of data packets. Each group of terminals desires a subset of the packets from its respective…

Data Structures and Algorithms · Computer Science 2013-07-31 Siddharth Barman , Shuchi Chawla , Seeun Umboh

In modern network design, "efficiency" is often conflated with raw performance metrics like latency or aggregate throughput. This paper proposes a resource-centric definition of efficiency, isolating the hardware cost required to maintain a…

Networking and Internet Architecture · Computer Science 2026-01-28 Jia Xu Wei , Wei Wei

In the classical (min-cost) Steiner tree problem, we are given an edge-weighted undirected graph and a set of terminal nodes. The goal is to compute a min-cost tree S which spans all terminals. In this paper we consider the min-power…

Data Structures and Algorithms · Computer Science 2012-05-17 Fabrizio Grandoni

We consider the problem of a decision-maker searching for information on multiple alternatives when information is learned on all alternatives simultaneously. The decision-maker has a running cost of searching for information, and has to…

Theoretical Economics · Economics 2020-04-13 T. Tony Ke , Wenpin Tang , J. Miguel Villas-Boas , Yuming Zhang

The congestion pricing is an efficient allocation approach to mediate demand and supply of network resources. Different from the previous pricing using Affine Marginal Cost (AMC), we focus on studying the game between network coding and…

Networking and Internet Architecture · Computer Science 2011-10-20 Wang Gang , Dai Xia

Searching in partially ordered structures has been considered in the context of information retrieval and efficient tree-like indexes, as well as in hierarchy based knowledge representation. In this paper we focus on tree-like partial…

Data Structures and Algorithms · Computer Science 2016-12-16 Ferdinando Cicalese , Balázs Keszegh , Bernard Lidický , Dömötör Pálvölgyi , Tomáš Valla

We consider a distributed stochastic optimization problem in networks with finite number of nodes. Each node adjusts its action to optimize the global utility of the network, which is defined as the sum of local utilities of all nodes.…

Information Theory · Computer Science 2018-07-31 Wenjie Li , Mohamad Assaad

We study a participatory budgeting problem of aggregating the preferences of agents and dividing a budget over the projects. A budget division solution is a probability distribution over the projects. The main purpose of our study concerns…

Computer Science and Game Theory · Computer Science 2020-11-02 Zhongzheng Tang , Chenhao Wang , Mengqi Zhang

This paper studies a fundamental algorithmic problem related to the design of demand-aware networks: networks whose topologies adjust toward the traffic patterns they serve, in an online manner. The goal is to strike a tradeoff between the…

Data Structures and Algorithms · Computer Science 2020-04-07 Chen Avin , Kaushik Mondal , Stefan Schmid

Academic research in the field of recommender systems mainly focuses on the problem of maximizing the users' utility by trying to identify the most relevant items for each user. However, such items are not necessarily the ones that maximize…

Information Retrieval · Computer Science 2017-07-26 Dietmar Jannach , Gediminas Adomavicius

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

The random cost problem is the problem of finding the minimum in an exponentially long list of random numbers. By definition, this problem cannot be solved faster than by exhaustive search. It is shown that a classical NP-hard optimization…

Disordered Systems and Neural Networks · Physics 2009-10-31 Stephan Mertens

Information in the form of data, which can be stored and transferred between users, can be viewed as an intangible commodity, which can be traded in exchange for money. Determining the fair price at which a string of data should be traded…

Statistical Mechanics · Physics 2024-09-11 Luca Gamberi , Alessia Annibale , Pierpaolo Vivo

We consider the $k$-prize-collecting Steiner tree problem. An instance is composed of an integer $k$ and a graph $G$ with costs on edges and penalties on vertices. The objective is to find a tree spanning at least $k$ vertices which…

Computational Complexity · Computer Science 2019-11-22 Lehilton Lelis Chaves Pedrosa , Hugo Kooki Kasuya Rosado

This paper investigates third-degree price discrimination under endogenous market segmentation. Segmenting a market requires access to information about consumers, and this information comes with a cost. I explore the trade-offs between the…

Theoretical Economics · Economics 2024-06-11 Irfan Tekdir