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We consider the $k$-Median problem on planar graphs: given an edge-weighted planar graph $G$, a set of clients $C \subseteq V(G)$, a set of facilities $F \subseteq V(G)$, and an integer parameter $k$, the task is to find a set of at most…

数据结构与算法 · 计算机科学 2019-05-03 Vincent Cohen-Addad , Marcin Pilipczuk , Michał Pilipczuk

We study the classic facility location setting, where we are given $n$ clients and $m$ possible facility locations in some arbitrary metric space, and want to choose a location to build a facility. The exact same setting also arises in…

人工智能 · 计算机科学 2022-12-13 Yue Han , Christopher Jerrett , Elliot Anshelevich

In this paper, we study the Facility Location Problem with Scarce Resources (FLPSR) under the assumption that agents' type follow a probability distribution. In the FLPSR, the objective is to identify the optimal locations for one or more…

计算机科学与博弈论 · 计算机科学 2024-12-03 Gennaro Auricchio , Jie Zhang

In this paper, we consider the fault-tolerant $k$-median problem and give the \emph{first} constant factor approximation algorithm for it. In the fault-tolerant generalization of classical $k$-median problem, each client $j$ needs to be…

数据结构与算法 · 计算机科学 2014-01-27 Mohammadtaghi Hajiaghayi , Wei Hu , Jian Li , Shi Li , Barna Saha

Budget feasible mechanisms, recently initiated by Singer (FOCS 2010), extend algorithmic mechanism design problems to a realistic setting with a budget constraint. We consider the problem of designing truthful budget feasible mechanisms for…

计算机科学与博弈论 · 计算机科学 2010-07-23 Ning Chen , Nick Gravin , Pinyan Lu

In this paper, we study the following robust optimization problem. Given an independence system and candidate objective functions, we choose an independent set, and then an adversary chooses one objective function, knowing our choice. Our…

数据结构与算法 · 计算机科学 2018-05-22 Yasushi Kawase , Hanna Sumita

We explore the fair distribution of a set of $m$ indivisible chores among $n$ agents, where each agent's costs are evaluated using a monotone cost function. Our focus lies on two fairness criteria: envy-freeness up to any item (EFX) and a…

计算机科学与博弈论 · 计算机科学 2024-10-25 Mahyar Afshinmehr , Matin Ansaripour , Alireza Danaei , Kurt Mehlhorn

We extend the Mobile Server Problem, introduced in SPAA'17, to a model where k identical mobile resources, here named servers, answer requests appearing at points in the Euclidean space. In order to reduce communication costs, the positions…

数据结构与算法 · 计算机科学 2019-07-24 Björn Feldkord , Till Knollmann , Manuel Malatyali , Friedhelm Meyer auf der Heide

We study facility location problems where agents control multiple locations and when reporting their locations can choose to hide some locations (hiding), report some locations more than once (replication) and lie about their locations…

计算机科学与博弈论 · 计算机科学 2020-03-30 Xiang Yan , Yiling Chen

This paper addresses information-based sensing point selection from a set of possible sensing locations, which determines a set of measurement points maximizing the mutual information between the sensor measurements and the variables of…

计算机科学与博弈论 · 计算机科学 2017-07-05 Su-Jin Lee , Young-Jin Park , Han-Lim Choi

In a bipartite max-min LP, we are given a bipartite graph $\myG = (V \cup I \cup K, E)$, where each agent $v \in V$ is adjacent to exactly one constraint $i \in I$ and exactly one objective $k \in K$. Each agent $v$ controls a variable…

分布式、并行与集群计算 · 计算机科学 2012-05-15 Patrik Floréen , Marja Hassinen , Petteri Kaski , Jukka Suomela

We propose a truthful-in-expectation, $(1-1/e)$-approximation mechanism for a strategic variant of the generalized assignment problem (GAP). In GAP, a set of items has to be optimally assigned to a set of bins without exceeding the capacity…

计算机科学与博弈论 · 计算机科学 2016-08-17 Salman Fadaei , Martin Bichler

We study truthful mechanisms for approximating the Maximin-Share (MMS) allocation of agents with additive valuations for indivisible goods. Algorithmically, constant factor approximations exist for the problem for any number of agents. When…

计算机科学与博弈论 · 计算机科学 2024-06-12 Ilan Reuven Cohen , Alon Eden , Talya Eden , Arsen Vasilyan

We study a multi-leader single-follower congestion game where multiple users (leaders) choose one resource out of a set of resources and, after observing the realized loads, an adversary (single-follower) attacks the resources with maximum…

计算机科学与博弈论 · 计算机科学 2021-12-15 Tobias Harks , Mona Henle , Max Klimm , Jannik Matuschke , Anja Schedel

We study the problem of fair online resource allocation via non-monetary mechanisms, where multiple agents repeatedly share a resource without monetary transfers. Previous work has shown that every agent can guarantee $1/2$ of their ideal…

计算机科学与博弈论 · 计算机科学 2025-05-27 David X. Lin , Daniel Hall , Giannis Fikioris , Siddhartha Banerjee , Éva Tardos

We consider budget feasible mechanisms for procurement auctions with additive valuation functions. For the divisible case, where agents can be allocated fractionally, there exists an optimal mechanism with approximation guarantee $e/(e-1)$…

计算机科学与博弈论 · 计算机科学 2022-09-02 Sophie Klumper , Guido Schäfer

We consider the problem of assigning items to platforms where each item has a utility associated with each of the platforms to which it can be assigned. Each platform has a soft constraint over the total number of items it serves, modeled…

计算机科学与博弈论 · 计算机科学 2025-08-19 Atasi Panda , Harsh Sharma , Anand Louis , Prajakta Nimbhorkar

We study a general allocation setting where agent valuations are concave additive. In this model, a collection of items must be uniquely distributed among a set of agents, where each agent-item pair has a specified utility. The objective is…

数据结构与算法 · 计算机科学 2022-03-15 Nathaniel Kell , Kevin Sun

We give nearly-tight upper and lower bounds for the improving multi-armed bandits problem. An instance of this problem has $k$ arms, each of whose reward function is a concave and increasing function of the number of times that arm has been…

机器学习 · 计算机科学 2024-04-02 Avrim Blum , Kavya Ravichandran

We tackle the problem of learning equilibria in simulation-based games. In such games, the players' utility functions cannot be described analytically, as they are given through a black-box simulator that can be queried to obtain noisy…

计算机科学与博弈论 · 计算机科学 2020-02-26 Alberto Marchesi , Francesco Trovò , Nicola Gatti