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In fair division of indivisible goods, using sequences of sincere choices (or picking sequences) is a natural way to allocate the objects. The idea is the following: at each stage, a designated agent picks one object among those that…

Computer Science and Game Theory · Computer Science 2016-04-07 Sylvain Bouveret , Michel Lemaître

We consider aggregative games with affine coupling constraints, where agents have partial information on the aggregate value and can only communicate with neighbouring agents. We propose a single-layer distributed algorithm that reaches a…

Optimization and Control · Mathematics 2020-08-14 Dian Gadjov , Lacra Pavel

We make a detailed analysis of three key algorithms (Serial Dictatorship and the naive and adaptive variants of the Boston algorithm) for the housing allocation problem, under the assumption that agent preferences are chosen iid uniformly…

Theoretical Economics · Economics 2022-06-01 Geoffrey Pritchard , Mark C. Wilson

We investigate the fair allocation of indivisible goods to agents with possibly different entitlements represented by weights. Previous work has shown that guarantees for additive valuations with existing envy-based notions cannot be…

Computer Science and Game Theory · Computer Science 2025-04-18 Luisa Montanari , Ulrike Schmidt-Kraepelin , Warut Suksompong , Nicholas Teh

We study the problem of fair and efficient allocation of a set of indivisible goods to agents with additive valuations using the popular fairness notions of envy-freeness up to one good (EF1) and equitability up to one good (EQ1) in…

Computer Science and Game Theory · Computer Science 2023-10-17 Jugal Garg , Aniket Murhekar

This paper derives polynomial-time approximation schemes for several NP-hard stochastic optimization problems from the algorithmic mechanism design and operations research literatures. The problems we consider involve a principal or seller…

Computer Science and Game Theory · Computer Science 2025-09-18 Robin Bowers , Marius Garbea , Emmanouil Pountourakis , Samuel Taggart

Motivated by real-world applications such as the allocation of public housing, we examine the problem of assigning a group of agents to vertices (e.g., spatial locations) of a network so that the diversity level is maximized. Specifically,…

Data Structures and Algorithms · Computer Science 2024-04-02 Zirou Qiu , Andrew Yuan , Chen Chen , Madhav V. Marathe , S. S. Ravi , Daniel J. Rosenkrantz , Richard E. Stearns , Anil Vullikanti

Matching platforms, such as online dating services and job recommendations, have become increasingly prevalent. For the success of these platforms, it is crucial to design reciprocal recommender systems (RRSs) that not only increase the…

Information Retrieval · Computer Science 2026-02-26 Yoji Tomita , Tomohiko Yokoyama

We study fair resource allocation under a connectedness constraint wherein a set of indivisible items are arranged on a path and only connected subsets of items may be allocated to the agents. An allocation is deemed fair if it satisfies…

Computer Science and Game Theory · Computer Science 2021-01-27 Neeldhara Misra , Chinmay Sonar , P. R. Vaidyanathan , Rohit Vaish

Envy-free up to one good (EF1) and envy-free up to any good (EFX) are two well-known extensions of envy-freeness for the case of indivisible items. It is shown that EF1 can always be guaranteed for agents with subadditive valuations. In…

Computer Science and Game Theory · Computer Science 2020-07-15 Alireza Farhadi , MohammadTaghi Hajiaghayi , Mohamad Latifian , Masoud Seddighin , Hadi Yami

We consider a monopolist seller with $n$ heterogeneous items, facing a single buyer. The buyer has a value for each item drawn independently according to (non-identical) distributions, and her value for a set of items is additive. The…

Computer Science and Game Theory · Computer Science 2020-08-03 Moshe Babaioff , Nicole Immorlica , Brendan Lucier , S. Matthew Weinberg

We study the question of existence and fast computation of fair and efficient allocations of indivisible resources among agents with additive valuations. As such allocations may not exist for arbitrary instances, we ask if they exist for…

Computer Science and Game Theory · Computer Science 2025-12-22 Aprup Kale , Rucha Kulkarni , Navya Garg

We study the problem of fairly allocating indivisible goods among a set of agents. Our focus is on the existence of allocations that give each agent their maximin fair share--the value they are guaranteed if they divide the goods into as…

Computer Science and Game Theory · Computer Science 2024-07-19 Sirin Botan , Angus Ritossa , Mashbat Suzuki , Toby Walsh

We study incentive-compatible mechanisms that maximize the Nash Social Welfare. Since traditional incentive-compatible mechanisms cannot maximize the Nash Social Welfare even approximately, we propose changing the traditional model.…

Computer Science and Game Theory · Computer Science 2024-02-23 Shahar Dobzinski , Sigal Oren , Jan Vondrak

We study truthful mechanisms for approximating the Maximin-Share (MMS) allocation of agents with additive valuations for indivisible goods. Algorithmically, constant factor approximations exist for the problem for any number of agents. When…

Computer Science and Game Theory · Computer Science 2024-06-12 Ilan Reuven Cohen , Alon Eden , Talya Eden , Arsen Vasilyan

Fair allocation of indivisible goods studies allocating $m$ goods among $n$ agents in a fair manner. While fairness is a fundamental requirement in many real-world applications, it often conflicts with (economic) efficiency. This raises a…

Computer Science and Game Theory · Computer Science 2025-06-03 Xiaolin Bu , Zihao Li , Shengxin Liu , Jiaxin Song , Biaoshuai Tao

We generalize the classic problem of fairly allocating indivisible goods to the problem of \emph{fair public decision making}, in which a decision must be made on several social issues simultaneously, and, unlike the classic setting, a…

Computer Science and Game Theory · Computer Science 2017-06-01 Vincent Conitzer , Rupert Freeman , Nisarg Shah

In approval-based budget division, the task is to allocate a divisible resource to the candidates based on the voters' approval preferences over the candidates. For this setting, Brandl et al. [2021] have shown that no distribution rule can…

Computer Science and Game Theory · Computer Science 2026-05-13 Haris Aziz , Patrick Lederer , Jeremy Vollen

We study approximation algorithms for revenue maximization based on static item pricing, where a seller chooses prices for various goods in the market, and then the buyers purchase utility-maximizing bundles at these given prices. We…

Computer Science and Game Theory · Computer Science 2017-05-03 Elliot Anshelevich , Shreyas Sekar

Nash's solution in his celebrated article on the bargaining problem calling for maximization of product of marginal utilities is revisited; a different line of argument supporting such a solution is suggested by straightforward or more…

Statistics Theory · Mathematics 2011-02-02 Alex Ely Kossovsky
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