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We investigate the tradeoffs between fairness and efficiency when allocating indivisible items over time. Suppose T items arrive over time and must be allocated upon arrival, immediately and irrevocably, to one of n agents. Agent i assigns…

Computer Science and Game Theory · Computer Science 2020-05-18 David Zeng , Alexandros Psomas

We study the Price of Anarchy of mechanisms for the well-known problem of one-sided matching, or house allocation, with respect to the social welfare objective. We consider both ordinal mechanisms, where agents submit preference lists over…

Computer Science and Game Theory · Computer Science 2016-03-01 George Christodoulou , Aris Filos-Ratsikas , Soren Kristoffer Stiil Frederiksen , Paul W. Goldberg , Jie Zhang , Jinshan Zhang

A fundamental resource allocation setting is the random assignment problem in which agents express preferences over objects that are then randomly allocated to the agents. In 2001, Bogomolnaia and Moulin presented the probabilistic serial…

Computer Science and Game Theory · Computer Science 2016-04-27 Haris Aziz , Pang Luo , Christine Rizkallah

We study the mechanism design problem of allocating a set of indivisible items without monetary transfers. Despite the vast literature on this very standard model, it still remains unclear how do truthful mechanisms look like. We focus on…

Computer Science and Game Theory · Computer Science 2017-05-31 Georgios Amanatidis , Georgios Birmpas , George Christodoulou , Evangelos Markakis

We study fairness in house allocation, where $m$ houses are to be allocated among $n$ agents so that every agent receives one house. We show that maximizing the number of envy-free agents is hard to approximate to within a factor of…

Computer Science and Game Theory · Computer Science 2021-07-15 Naoyuki Kamiyama , Pasin Manurangsi , Warut Suksompong

Designing fair algorithmic decision systems requires balancing model performance with fairness toward affected individuals: More fairness might require sacrificing some performance and vice versa, yet the space of possible trade-offs is…

Machine Learning · Computer Science 2026-05-12 Mieke Wilms , Christoph Heitz

In multiobjective optimization, most branch and bound algorithms provide the decision maker with the whole Pareto front, and then decision maker could select a single solution finally. However, if the number of objectives is large, the…

Optimization and Control · Mathematics 2024-02-29 Weitian Wu , Xinmin Yang

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 study mechanism design problems in the {\em ordinal setting} wherein the preferences of agents are described by orderings over outcomes, as opposed to specific numerical values associated with them. This setting is relevant when agents…

Computer Science and Game Theory · Computer Science 2014-03-11 Deeparnab Chakrabarty , Chaitanya Swamy

The seminar assignment problem is a variant of the generalized assignment problem in which items have unit size and the amount of space allowed in each bin is restricted to an arbitrary set of values. The problem has been shown to be…

Data Structures and Algorithms · Computer Science 2016-10-18 Amotz Bar-Noy , George Rabanca

Given a set of $n$ individuals with strict preferences over $m$ indivisible objects, the Random Serial Dictatorship (RSD) mechanism is a method for allocating objects to individuals in a way that is efficient, fair, and…

Theoretical Economics · Economics 2026-02-03 Maor Ben Zaquen , Ron Holzman

The class of assignment problems is a fundamental and well-studied class in the intersection of Social Choice, Computational Economics and Discrete Allocation. In a general assignment problem, a group of agents expresses preferences over a…

Data Structures and Algorithms · Computer Science 2021-05-25 Barak Steindl , Meirav Zehavi

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

In this paper, we study a truthful two-obnoxious-facility location problem, in which each agent has a private location in [0, 1] and a public optional preference over two obnoxious facilities, and there is a minimum distance constraint d…

Computer Science and Game Theory · Computer Science 2025-08-12 Xiaojia Han , Wenjing Liu , Qizhi Fang

Recently, a randomized mechanism has been discovered [Dughmi, Roughgarden and Yan; STOC'11] for combinatorial auctions that is truthful in expectation and guarantees a (1-1/e)-approximation to the optimal social welfare when players have…

Computer Science and Game Theory · Computer Science 2011-09-07 Shaddin Dughmi , Jan Vondrak

In the multidimensional stable roommate problem, agents have to be allocated to rooms and have preferences over sets of potential roommates. We study the complexity of finding good allocations of agents to rooms under the assumption that…

Computer Science and Game Theory · Computer Science 2020-05-01 Niclas Boehmer , Edith Elkind

We revisit the well-studied problem of designing mechanisms for one-sided matching markets, where a set of $n$ agents needs to be matched to a set of $n$ heterogeneous items. Each agent $i$ has a value $v_{i,j}$ for each item $j$, and these…

Computer Science and Game Theory · Computer Science 2020-01-22 Rediet Abebe , Richard Cole , Vasilis Gkatzelis , Jason D. Hartline

The Stable Roommates problem involves matching a set of agents into pairs based on the agents' strict ordinal preference lists. The matching must be stable, meaning that no two agents strictly prefer each other to their assigned partners. A…

Computer Science and Game Theory · Computer Science 2021-07-12 Michael McKay , David Manlove

We study fair allocation of indivisible goods among strategic agents with additive valuations. Motivated by impossibility results for deterministic truthful mechanisms, we focus on randomized mechanisms that are…

Computer Science and Game Theory · Computer Science 2026-05-01 Moshe Babaioff , Uriel Feige , Noam Manaker Morag