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In this paper we extend the principle of proportional representation to rankings. We consider the setting where alternatives need to be ranked based on approval preferences. In this setting, proportional representation requires that…

Computer Science and Game Theory · Computer Science 2016-12-06 Piotr Skowron , Martin Lackner , Markus Brill , Dominik Peters , Edith Elkind

We initiate the study of the heterogeneous facility location problem with limited resources. We mainly focus on the fundamental case where a set of agents are positioned in the line segment [0,1] and have approval preferences over two…

Computer Science and Game Theory · Computer Science 2021-05-07 Argyrios Deligkas , Aris Filos-Ratsikas , Alexandros A. Voudouris

We study the problem of aggregating individual preferences over alternatives into a collective ranking. A distinctive feature of our setting is that agents are matched to alternatives. Applications include rankings of colleges or academic…

Theoretical Economics · Economics 2026-02-11 Gaurab Aryal , Thayer Morrill , Peter Troyan

As an essential resource management problem in network virtualization, virtual network embedding (VNE) aims to allocate the finite resources of physical network to sequentially arriving virtual network requests (VNRs) with different…

Networking and Internet Architecture · Computer Science 2024-06-26 Tianfu Wang , Li Shen , Qilin Fan , Tong Xu , Tongliang Liu , Hui Xiong

Opportunities such as higher education can promote intergenerational mobility, leading individuals to achieve levels of socioeconomic status above that of their parents. We develop a dynamic model for allocating such opportunities in a…

Computers and Society · Computer Science 2021-01-22 Hoda Heidari , Jon Kleinberg

Problem definition: In many matching markets, some agents are fully flexible, while others only accept a subset of jobs. For example, ridesharing drivers can specify on the platform the destinations they are willing to accept. Conventional…

Computer Science and Game Theory · Computer Science 2026-01-30 Chiwei Yan , Francisco Castro , Peter Frazier , Hongyao Ma , Hamid Nazerzadeh

In several matching markets, in order to achieve diversity, agents' priorities are allowed to vary across an institution's available seats, and the institution is let to choose agents in a lexicographic fashion based on a predetermined…

Theoretical Economics · Economics 2019-10-30 Battal Dogan , Serhat Dogan , Kemal Yildiz

The Deferred Acceptance (DA) mechanism can generate inefficient placements. Although Pareto-dominant mechanisms exist, it remains unclear which and how many students could improve. We characterize the set of unimprovable students and show…

Theoretical Economics · Economics 2025-05-20 Josue Ortega , Gabriel Ziegler , R. Pablo Arribillaga , Geng Zhao

Hierarchical Imitation Learning (HIL) has been proposed to recover highly-complex behaviors in long-horizon tasks from expert demonstrations by modeling the task hierarchy with the option framework. Existing methods either overlook the…

Machine Learning · Computer Science 2023-05-29 Jiayu Chen , Tian Lan , Vaneet Aggarwal

This paper presents a hierarchical reinforcement learning (RL) approach to address the agent grouping or pairing problem in cooperative multi-agent systems. The goal is to simultaneously learn the optimal grouping and agent policy. By…

Machine Learning · Computer Science 2025-01-14 Liyuan Hu

Instant Runoff Voting (IRV) is used in elections for many political offices around the world. It allows voters to specify their preferences among candidates as a ranking. We identify a generalization of the rule, called Approval-IRV, that…

Computer Science and Game Theory · Computer Science 2024-04-18 Théo Delemazure , Dominik Peters

We study a class of {\em aggregation rules} that could be applied to ethical AI decision-making. These rules yield the decisions to be made by automated systems based on the information of profiles of preferences over possible choices. We…

Theoretical Economics · Economics 2023-06-29 Federico Fioravanti , Iyad Rahwan , Fernando Abel Tohmé

The Kemeny Rank Aggregation (KRA) problem is a well-studied problem in the field of Social Choice with a variety of applications in many different areas like databases and search engines. Intuitively, given a set of votes over a set of…

Quantum Physics · Physics 2023-01-13 Sven Fiergolla , Kevin Goergen , Patrick Neises , Petra Wolf

Variable selection for models including interactions between explanatory variables often needs to obey certain hierarchical constraints. The weak or strong structural hierarchy requires that the existence of an interaction term implies at…

Statistics Theory · Mathematics 2016-11-10 Yiyuan She , Zhifeng Wang , He Jiang

Two common approaches to sequential decision-making are AI planning (AIP) and reinforcement learning (RL). Each has strengths and weaknesses. AIP is interpretable, easy to integrate with symbolic knowledge, and often efficient, but requires…

Artificial Intelligence · Computer Science 2022-09-30 Junkyu Lee , Michael Katz , Don Joven Agravante , Miao Liu , Geraud Nangue Tasse , Tim Klinger , Shirin Sohrabi

Feature selection is a prevalent data preprocessing paradigm for various learning tasks. Due to the expensive cost of acquiring supervision information, unsupervised feature selection sparks great interests recently. However, existing…

Machine Learning · Computer Science 2021-06-07 Xiaoying Xing , Hongfu Liu , Chen Chen , Jundong Li

Solving long-horizon goal-conditioned tasks remains a significant challenge in reinforcement learning (RL). Hierarchical reinforcement learning (HRL) addresses this by decomposing tasks into more manageable sub-tasks, but the automatic…

Machine Learning · Computer Science 2025-09-09 Yang Yu

Given a set of agents with approval preferences over each other, we study the task of finding $k$ matchings fairly representing everyone's preferences. We model the problem as an approval-based multiwinner election where the set of…

Computer Science and Game Theory · Computer Science 2021-02-16 Niclas Boehmer , Markus Brill , Ulrike Schmidt-Kraepelin

The current thesis aims to explore the reinforcement learning field and build on existing methods to produce improved ones to tackle the problem of learning in high-dimensional and complex environments. It addresses such goals by…

Machine Learning · Computer Science 2024-03-26 Ayoub Ghriss , Masashi Sugiyama , Alessandro Lazaric

The Deferred Acceptance algorithm is a popular school allocation mechanism thanks to its strategy proofness. However, with application costs, strategy proofness fails, leading to an identification problem. In this paper, I address this…

General Economics · Economics 2020-11-02 Shanjukta Nath