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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…

Computer Science and Game Theory · Computer Science 2015-12-29 Michal Feldman , Amos Fiat , Iddan Golomb

In this paper, we investigate the Mechanism Design aspects of the $m$-Capacitated Facility Location Problem ($m$-CFLP) on a line. We focus on two frameworks. In the first framework, the number of facilities is arbitrary, all facilities have…

Computer Science and Game Theory · Computer Science 2024-04-23 Gennaro Auricchio , Zihe Wang , Jie Zhang

We consider the facility location problem in a metric space, focusing on the case of three agents. We show that selecting the reported location of each agent with probability proportional to the distance between the other two agents results…

Computer Science and Game Theory · Computer Science 2019-07-09 Reshef Meir

We study the facility location mechanism design problem where $n$ agents report their locations in Euclidean space, and the output is a single facility location. The cost function of each agent is the distance from the returned facility,…

Computer Science and Game Theory · Computer Science 2026-05-27 Zohar Barak

We study the distributed facility location games with candidate locations, where agents on a line are partitioned into groups. Both desirable and obnoxious facility location settings are discussed. In distributed location problems,…

Computer Science and Game Theory · Computer Science 2025-01-03 Feiyue Sun

In a facility game one or more facilities are placed in a metric space to serve a set of selfish agents whose addresses are their private information. In a classical facility game, each agent wants to be as close to a facility as possible,…

Computer Science and Game Theory · Computer Science 2015-03-26 Yukun Cheng , Sanming Zhou

An important feature of many real world facility location problems are capacity limits on the facilities. We show here how capacity constraints make it harder to design strategy proof mechanisms for facility location, but…

Artificial Intelligence · Computer Science 2020-09-18 Toby Walsh

The problem of allocating indivisible resources to agents arises in a wide range of domains, including treatment distribution and social support programs. An important goal in algorithm design for this problem is fairness, where the focus…

Computer Science and Game Theory · Computer Science 2026-02-17 Niclas Boehmer , Luca Kreisel

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…

Computer Science and Game Theory · Computer Science 2020-03-30 Xiang Yan , Yiling Chen

How does one allocate a collection of resources to a set of strategic agents in a fair and efficient manner without using money? For in many scenarios it is not feasible to use money to compensate agents for otherwise unsatisfactory…

Computer Science and Game Theory · Computer Science 2012-07-10 Richard Cole , Vasilis Gkatzelis , Gagan Goel

We study the budget aggregation problem in which a set of strategic voters must split a finite divisible resource (such as money or time) among a set of competing projects. Our goal is twofold: We seek truthful mechanisms that provide…

Computer Science and Game Theory · Computer Science 2024-03-26 Rupert Freeman , Ulrike Schmidt-Kraepelin

We consider a voting problem in which a set of agents have metric preferences over a set of alternatives, and are also partitioned into disjoint groups. Given information about the preferences of the agents and their groups, our goal is to…

Computer Science and Game Theory · Computer Science 2024-04-23 Georgios Amanatidis , Elliot Anshelevich , Christopher Jerrett , Alexandros A. Voudouris

We study a novel problem of fairness in ranking aimed at minimizing the amount of individual unfairness introduced when enforcing group-fairness constraints. Our proposal is rooted in the distributional maxmin fairness theory, which uses…

Machine Learning · Computer Science 2021-06-18 David Garcia-Soriano , Francesco Bonchi

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…

Computer Science and Game Theory · Computer Science 2025-11-14 Thanasis Lianeas , Marios Mertzanidis , Aikaterini Nikolidaki

Fair allocation of indivisible goods is a well-explored problem. Traditionally, research focused on individual fairness - are individual agents satisfied with their allotted share? - and group fairness - are groups of agents treated fairly?…

Computer Science and Game Theory · Computer Science 2023-02-15 Jonathan Scarlett , Nicholas Teh , Yair Zick

We consider the strategyproof facility location problem on a circle. We focus on the case of 5 agents, and find a tight bound for the PCD strategyproof mechanism, which selects the reported location of an agent in proportion to the length…

Multiagent Systems · Computer Science 2025-10-21 Ido Farjoun , Reshef Meir

Recent years have witnessed the rise of many successful e-commerce marketplace platforms like the Amazon marketplace, AirBnB, Uber/Lyft, and Upwork, where a central platform mediates economic transactions between buyers and sellers.…

Computer Science and Game Theory · Computer Science 2018-03-01 Reza Alijani , Siddhartha Banerjee , Sreenivas Gollapudi , Kostas Kollias , Kamesh Munagala

The issue of fairness in AI arises from discriminatory practices in applications like job recommendations and risk assessments, emphasising the need for algorithms that do not discriminate based on group characteristics. This concern is…

Computer Science and Game Theory · Computer Science 2024-08-12 Fengjuan Jia , Mengxiao Zhang , Jiamou Liu , Bakh Khoussainov

We consider facility location problems with a new form of equity criterion. Demand points have preference order on the sites where the plants can be located. The goal is to find the location of the facilities minimizing the envy felt by the…

Optimization and Control · Mathematics 2022-12-08 Víctor Blanco , Alfredo Marín , Justo Puerto

The facility location game has been studied extensively in mechanism design. In the classical model, each agent's cost is solely determined by her distance to the nearest facility. In this paper, we introduce a novel model where each…

Computer Science and Game Theory · Computer Science 2024-04-16 Mengfan Ma , Mingyu Xiao , Tian Bai , Bakh Khoussainov