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This paper studies the housing market problem introduced by Shapley and Scarf (1974). We probe the Machiavellian frontier of the well-known top trading cycles (TTC) rule by weakening strategy-proofness and providing new characterizations…

Theoretical Economics · Economics 2024-04-10 Yajing Chen , Zhenhua Jiao , Chenfeng Zhang , Luosai Zhang

We study a participatory budgeting problem of aggregating the preferences of agents and dividing a budget over the projects. A budget division solution is a probability distribution over the projects. The main purpose of our study concerns…

Computer Science and Game Theory · Computer Science 2020-11-02 Zhongzheng Tang , Chenhao Wang , Mengqi Zhang

We consider an analyst whose goal is to identify a subject's utility function through revealed preference analysis. We argue the analyst's preference about which experiments to run should adhere to three normative principles: The first,…

Theoretical Economics · Economics 2024-11-19 Fernando Payró , Evan Piermont

We study the fair allocation of indivisible items to $n$ agents to maximize the utilitarian social welfare, where the fairness criterion is envy-free up to one item and there are only two different utility functions shared by the agents. We…

Computer Science and Game Theory · Computer Science 2025-09-12 Jiaxuan Ma , Yong Chen , Guangting Chen , Mingyang Gong , Guohui Lin , An Zhang

We study Matching and other related problems in a partial information setting where the agents' utilities for being matched to other agents are hidden and the mechanism only has access to ordinal preference information. Our model is…

Computer Science and Game Theory · Computer Science 2016-08-03 Elliot Anshelevich , Shreyas Sekar

How to distribute welfare in a society is a key issue in the subject of distributional justice, which is deeply involved with notions of fairness. Following a thought experiment by Dworkin, this work considers a society of individuals with…

Physics and Society · Physics 2012-07-02 Seung Ki Baek , Jung-Kyoo Choi , Beom Jun Kim

This study investigates the problem of individualizing treatment allocations using stated preferences for treatments. If individuals know in advance how the assignment will be individualized based on their stated preferences, they may state…

Econometrics · Economics 2023-11-16 Daido Kido

We study the problem of efficiency under $\alpha$ local differential privacy ($\alpha$ LDP) in both discrete and continuous settings. Building on a factorization lemma, which shows that any privacy mechanism can be decomposed into an…

Statistics Theory · Mathematics 2025-07-30 Chiara Amorino , Arnaud Gloter

We study the problem of assigning indivisible objects to agents where each is to receive at most one. To ensure fairness in the absence of monetary compensation, we consider random assignments. Random Priority, also known as Random Serial…

Theoretical Economics · Economics 2025-06-24 Christian Basteck

Many policies allocate harms or benefits that are uncertain in nature: they produce distributions over the population in which individuals have different probabilities of incurring harm or benefit. Comparing different policies thus involves…

Computers and Society · Computer Science 2021-03-11 Hoda Heidari , Solon Barocas , Jon Kleinberg , Karen Levy

Cooperation is an important research object in economics, sociology, and biology, and the evolution of cooperation in structured populations is a interesting research topic. We mainly focus on the evolution of cooperation with two-order and…

Physics and Society · Physics 2024-10-14 Yihe Ma

Adverse selection is a version of the principal-agent problem that includes monopolist nonlinear pricing, where a monopolist with known costs seeks a profit-maximizing price menu facing a population of potential consumers whose preferences…

Optimization and Control · Mathematics 2023-11-27 Robert J. McCann , Kelvin Shuangjian Zhang

A truthful mechanism for a Bayesian single-item auction results with some ex-ante revenue for the seller, and some ex-ante total surplus for the buyers. We study the Pareto frontier of the set of seller-buyers ex-ante utilities, generated…

Computer Science and Game Theory · Computer Science 2026-02-13 Moshe Babaioff , Sijin Chen , Zhaohua Chen , Yiding Feng

We propose a new model for aggregating preferences over a set of indivisible items based on a quantile value. In this model, each agent is endowed with a specific quantile, and the value of a given bundle is defined by the corresponding…

Computer Science and Game Theory · Computer Science 2026-05-06 Haris Aziz , Shivika Narang , Mashbat Suzuki

The traditional approach to the quantitative study of segregation is to employ indices that are selected by ``desirable properties''. Here, we detail how information theory underpins entropy-based indices and demonstrate how desirable…

Physics and Society · Physics 2022-12-15 Boris Barron , Yunus A. Kinkhabwala , Chriss Hess , Matthew Hall , Itai Cohen , Tomás A. Arias

We state the problem of inverse reinforcement learning in terms of preference elicitation, resulting in a principled (Bayesian) statistical formulation. This generalises previous work on Bayesian inverse reinforcement learning and allows us…

Machine Learning · Statistics 2011-06-30 Constantin Rothkopf , Christos Dimitrakakis

We consider the egalitarian welfare aspects of random assignment mechanisms when agents have unrestricted cardinal utilities over the objects. We give bounds on how well different random assignment mechanisms approximate the optimal…

Computer Science and Game Theory · Computer Science 2015-07-27 Haris Aziz , Jiashu Chen , Aris Filos-Ratsikas , Simon Mackenzie , Nicholas Mattei

We study the problem of allocating multiple types of resources to agents with Leontief preferences. The classic Dominant Resource Fairness (DRF) mechanism satisfies several desired fairness and incentive properties, but is known to have…

Computer Science and Game Theory · Computer Science 2022-10-12 Xiaohui Bei , Zihao Li , Junjie Luo

This paper deals with a bilevel approach of the location-allocation problem with dimensional facilities. We present a general model that allows us to consider very general shapes of domains for the dimensional facilities and we prove the…

Optimization and Control · Mathematics 2018-06-27 Lina Mallozzi , Justo Puerto , Moisés Rodríguez-Madrena

Algorithmic fairness has become an important machine learning problem, especially for mission-critical Web applications. This work presents a self-supervised model, called DualFair, that can debias sensitive attributes like gender and race…

Machine Learning · Computer Science 2023-03-16 Sungwon Han , Seungeon Lee , Fangzhao Wu , Sundong Kim , Chuhan Wu , Xiting Wang , Xing Xie , Meeyoung Cha
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