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We consider a single-facility location problem, where agents are positioned on the real line and are partitioned into multiple disjoint districts. The goal is to choose a location (where a public facility is to be built) so as to minimize…

Computer Science and Game Theory · Computer Science 2021-07-13 Aris Filos-Ratsikas , Alexandros A. Voudouris

We consider strategy proof mechanisms for facility location which maximize equitability between agents. As is common in the literature, we measure equitability with the Gini index. We first prove a simple but fundamental impossibility…

Computer Science and Game Theory · Computer Science 2025-06-13 Toby Walsh

In this paper, we study the two-facility location game on a line with optional preference where the acceptable set of facilities for each agent could be different and an agent's cost is his distance to the closest facility within his…

Data Structures and Algorithms · Computer Science 2019-07-23 Minming Li , Pinyan Lu , Yuhao Yao , Jialin Zhang

Proportionality is an attractive fairness concept that has been applied to a range of problems including the facility location problem, a classic problem in social choice. In our work, we propose a concept called Strong Proportionality,…

Computer Science and Game Theory · Computer Science 2022-06-15 Haris Aziz , Alexander Lam , Mashbat Suzuki , Toby Walsh

We study the problem of fairly and truthfully allocating $m$ indivisible items to $n$ agents with additive preferences. Specifically, we consider truthful mechanisms outputting allocations that satisfy EF$^{+u}_{-v}$, where, in an…

Computer Science and Game Theory · Computer Science 2025-12-08 Xiaolin Bu , Biaoshuai Tao

Distributed learning has gained significant attention due to its advantages in scalability, privacy, and fault tolerance.In this paradigm, multiple agents collaboratively train a global model by exchanging parameters only with their…

Machine Learning · Computer Science 2026-03-31 Ziqin Chen , Yongqiang Wang

The fundamental assignment problem is in search of welfare maximization mechanisms to allocate items to agents when the private preferences over indivisible items are provided by self-interested agents. The mainstream mechanism…

Computer Science and Game Theory · Computer Science 2019-06-04 Yansong Gao , Jie Zhang

In this paper, we focus our attention on the large capacities unsplittable flow problem in a game theoretic setting. In this setting, there are selfish agents, which control some of the requests characteristics, and may be dishonest about…

Data Structures and Algorithms · Computer Science 2008-12-18 Yossi Azar , Iftah Gamzu , Shai Gutner

An important research thread in algorithmic game theory studies the design of efficient truthful mechanisms that approximate the optimal social welfare. A fundamental question is whether an \alpha-approximation algorithm translates into an…

Computer Science and Game Theory · Computer Science 2015-05-13 Chandra Chekuri , Iftah Gamzu

We consider the problem of locating a facility on a network, represented by a graph. A set of strategic agents have different ideal locations for the facility; the cost of an agent is the distance between its ideal location and the…

Computer Science and Game Theory · Computer Science 2009-07-14 Noga Alon , Michal Feldman , Ariel D. Procaccia , Moshe Tennenholtz

One-sided matching mechanisms are fundamental for assigning a set of indivisible objects to a set of self-interested agents when monetary transfers are not allowed. Two widely-studied randomized mechanisms in multiagent settings are the…

Computer Science and Game Theory · Computer Science 2017-03-02 Hadi Hosseini , Kate Larson , Robin Cohen

We consider a fundamental dynamic allocation problem motivated by the problem of $\textit{securities lending}$ in financial markets, the mechanism underlying the short selling of stocks. A lender would like to distribute a finite number of…

Computer Science and Game Theory · Computer Science 2019-12-16 Emily Diana , Michael Kearns , Seth Neel , Aaron Roth

We study resource allocation problems in which a central planner allocates resources among strategic agents with private cost functions in order to minimize a social cost, defined as an aggregate of the agents' costs. This setting poses two…

Computer Science and Game Theory · Computer Science 2026-03-19 Leo Landolt , Anna Maddux , Andreas Schlaginhaufen , Saurabh Vaishampayan , Maryam Kamgarpour

We target the problem of controlling electrical microgrids with little inertia in real time. We consider a central controller and a number of resources, where each resource is either a load, a generator, or a combination thereof, like a…

Optimization and Control · Mathematics 2015-11-30 Andrey Bernstein , Niek J. Bouman , Jean-Yves Le Boudec

We study a participatory budgeting problem, where a set of strategic agents wish to split a divisible budget among different projects, by aggregating their proposals on a single division. Unfortunately, the straight-forward rule that…

Computer Science and Game Theory · Computer Science 2022-03-21 Ioannis Caragiannis , George Christodoulou , Nicos Protopapas

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 consider the facility location problem in the one-dimensional setting where each facility can serve a limited number of agents from the algorithmic and mechanism design perspectives. From the algorithmic perspective, we prove that the…

Computer Science and Game Theory · Computer Science 2019-11-25 Haris Aziz , Hau Chan , Barton E. Lee , Bo Li , Toby Walsh

In this research, we study the problem that a collector acquires items from the owner based on the item qualities the owner declares and an independent appraiser's assessments. The owner is interested in maximizing the probability that the…

Computer Science and Game Theory · Computer Science 2024-02-23 Liang Shan , Shuo Zhang , Jie Zhang , Zihe Wang

Mechanism design in resource allocation studies dividing limited resources among self-interested agents whose satisfaction with the allocation depends on privately held utilities. We consider the problem in a payment-free setting, with the…

Computer Science and Game Theory · Computer Science 2025-01-03 Sihan Zeng , Sujay Bhatt , Alec Koppel , Sumitra Ganesh

I provide a novel approach to characterizing the set of interim realizable allocations, in the spirit of Matthews (1984) and Border (1991). The approach allows me to identify precisely why exact characterizations are difficult to obtain in…

Theoretical Economics · Economics 2022-10-11 Quitzé Valenzuela-Stookey