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We consider a two-stage robust facility location problem on a metric under an uncertain demand. The decision-maker needs to decide on the (integral) units of supply for each facility in the first stage to satisfy an uncertain second-stage…

最优化与控制 · 数学 2020-11-11 Omar El Housni , Vineet Goyal , David Shmoys

An important challenge in robust machine learning is when training data is provided by strategic sources who may intentionally report erroneous data for their own benefit. A line of work at the intersection of machine learning and mechanism…

计算机科学与博弈论 · 计算机科学 2024-12-24 Eric Balkanski , Cherlin Zhu

We consider the fundamental scenario where a single item is to be sold to one of two agents. Both agents draw their valuation for the item from the same probability distribution. However, only one of them submits a bid to the mechanism. The…

计算机科学与博弈论 · 计算机科学 2025-08-26 Ioannis Caragiannis , Georgios Kalantzis

We study the truthful facility assignment problem, where a set of agents with private most-preferred points on a metric space are assigned to facilities that lie on the metric space, under capacity constraints on the facilities. The goal is…

计算机科学与博弈论 · 计算机科学 2016-10-06 Ioannis Caragiannis , Aris Filos-Ratsikas , Soren Kristoffer Stiil Frederiksen , Kristoffer Arnsfelt Hansen , Zihan Tan

We study the design of one-to-one matching mechanisms that are strategy-proof for both sides and as stable as possible. Motivated by the impossibility result of Roth (1982), we formulate the mechanism design problem as a linear program that…

理论经济学 · 经济学 2026-02-04 Tohya Sugano

The uncapacitated facility location has always been an important problem due to its connection to operational research and infrastructure planning. Byrka obtained an algorithm that is parametrized by $\gamma$ and proved that it is optimal…

数据结构与算法 · 计算机科学 2016-10-25 Haotian Jiang

Facility location is a prominent optimization problem that has inspired a large quantity of both theoretical and practical studies in combinatorial optimization. Although the problem has been investigated under various settings reflecting…

数据结构与算法 · 计算机科学 2019-07-09 Kangsan Kim , Yongho Shin , Hyung-Chan An

Many allocation problems in multiagent systems rely on agents specifying cardinal preferences. However, allocation mechanisms can be sensitive to small perturbations in cardinal preferences, thus causing agents who make ``small" or…

计算机科学与博弈论 · 计算机科学 2021-07-13 Vijay Menon , Kate Larson

We present partial strategyproofness, a new, relaxed notion of strategyproofness for studying the incentive properties of non-strategyproof assignment mechanisms. Informally, a mechanism is partially strategyproof if it makes truthful…

计算机科学与博弈论 · 计算机科学 2020-08-04 Timo Mennle , Sven Seuken

Obvious strategyproofness (OSP) is an appealing concept as it allows to maintain incentive compatibility even in the presence of agents that are not fully rational, e.g., those who struggle with contingent reasoning [Li, 2015]. However, it…

计算机科学与博弈论 · 计算机科学 2017-02-21 Diodato Ferraioli , Carmine Ventre

We study a competitive facility location problem (CFLP), where two firms sequentially open new facilities within their budgets, in order to maximize their market shares of demand that follows a probabilistic choice model. This process is a…

最优化与控制 · 数学 2022-07-19 Mingyao Qi , Ruiwei Jiang , Siqian Shen

We study mechanisms for candidate selection that seek to minimize the social cost, where voters and candidates are associated with points in some underlying metric space. The social cost of a candidate is the sum of its distances to each…

计算机科学与博弈论 · 计算机科学 2015-12-29 Michal Feldman , Amos Fiat , Iddan Golomb

Given facilities with capacities and clients with penalties and demands, the transportation problem with market choice consists in finding the minimum-cost way to partition the clients into unserved clients, paying the penalties, and into…

数据结构与算法 · 计算机科学 2016-08-23 Karen Aardal , Pierre Le Bodic

We study a version of the metric facility location problem (or, equivalently, variants of the committee selection problem) in which we must choose $k$ facilities in an arbitrary metric space to serve some set of clients $C$. We consider…

数据结构与算法 · 计算机科学 2025-07-24 Yue Han , Elliot Anshelevich

Game theory serves as a powerful tool for distributed optimization in multi-agent systems in different applications. In this paper we consider multi-agent systems that can be modeled by means of potential games whose potential function…

最优化与控制 · 数学 2018-04-13 Tatiana Tatarenko

We study the online facility location problem with uniform facility costs in the random-order model. Meyerson's algorithm [FOCS'01] is arguably the most natural and simple online algorithm for the problem with several advantages and…

数据结构与算法 · 计算机科学 2022-11-11 Haim Kaplan , David Naori , Danny Raz

We consider the bilateral trade problem, in which two agents trade a single indivisible item. It is known that the only dominant-strategy truthful mechanism is the fixed-price mechanism: given commonly known distributions of the buyer's…

计算机科学与博弈论 · 计算机科学 2021-12-21 Zi Yang Kang , Francisco Pernice , Jan Vondrák

In Facility Location problems there are agents that should be connected to facilities and locations where facilities may be opened so that agents can connect to them. We depart from Uncapacitated Facility Location and by assuming that the…

计算机科学与博弈论 · 计算机科学 2025-11-14 Thanasis Lianeas , Marios Mertzanidis , Aikaterini Nikolidaki

We study the problem of computing maximin share guarantees, a recently introduced fairness notion. Given a set of $n$ agents and a set of goods, the maximin share of a single agent is the best that she can guarantee to herself, if she would…

计算机科学与博弈论 · 计算机科学 2018-06-12 Georgios Amanatidis , Evangelos Markakis , Afshin Nikzad , Amin Saberi

We consider a social choice setting in which agents and alternatives are represented by points in a metric space, and the cost of an agent for an alternative is the distance between the corresponding points in the space. The goal is to…

计算机科学与博弈论 · 计算机科学 2023-05-25 Elliot Anshelevich , Aris Filos-Ratsikas , Christopher Jerrett , Alexandros A. Voudouris