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Maximizing the revenue from selling _more than one_ good (or item) to a single buyer is a notoriously difficult problem, in stark contrast to the one-good case. For two goods, we show that simple "one-dimensional" mechanisms, such as…

Computer Science and Game Theory · Computer Science 2022-09-22 Sergiu Hart , Noam Nisan

Mechanism design is addressed in the context of fair allocations of indivisible goods with monetary compensation. Motivated by a real-world social choice problem, mechanisms with verification are considered in a setting where (i) agents'…

Computer Science and Game Theory · Computer Science 2012-09-18 Gianluigi Greco , Francesco Scarcello

We consider the problem of fairly and efficiently allocating indivisible items (goods or bads) under capacity constraints. In this setting, we are given a set of categorized items. Each category has a capacity constraint (the same for all…

Computer Science and Game Theory · Computer Science 2023-03-01 Hila Shoshan , Erel Segal-Halevi , Noam Hazon

We study fairness in the allocation of discrete goods. Exactly fair (envy-free) allocations are impossible, so we discuss notions of approximate fairness. In particular, we focus on allocations in which the swap of two items serves to…

Theoretical Economics · Economics 2025-08-14 Federico Echenique , Sumit Goel , SangMok Lee

This paper studies the problem of optimally allocating treatments in the presence of spillover effects, using information from a (quasi-)experiment. I introduce a method that maximizes the sample analog of average social welfare when…

Econometrics · Economics 2024-04-09 Davide Viviano

A multiagent system may be thought of as an artificial society of autonomous software agents and we can apply concepts borrowed from welfare economics and social choice theory to assess the social welfare of such an agent society. In this…

Multiagent Systems · Computer Science 2011-09-30 U. Endriss , N. Maudet , F. Sadri , F. Toni

We consider the mechanism design problem of a principal allocating a single good to one of several agents without monetary transfers. Each agent desires the good and uses it to create value for the principal. We designate this value as the…

Theoretical Economics · Economics 2024-06-26 Halil İbrahim Bayrak , Çağıl Koçyiğit , Daniel Kuhn , Mustafa Çelebi Pınar

We study large markets with a single seller which can produce many types of goods, and many multi-minded buyers. The seller chooses posted prices for its many items, and the buyers purchase bundles to maximize their utility. For this…

Computer Science and Game Theory · Computer Science 2016-10-14 Elliot Anshelevich , Koushik Kar , Shreyas Sekar

We study the problem of allocating indivisible items to agents with additive valuations, under the additional constraint that bundles must be connected in an underlying item graph. Previous work has considered the existence and complexity…

Computer Science and Game Theory · Computer Science 2018-11-13 Ayumi Igarashi , Dominik Peters

We consider a simple sequential allocation procedure for sharing indivisible items between agents in which agents take turns to pick items. Supposing additive utilities and independence between the agents, we show that the expected utility…

Artificial Intelligence · Computer Science 2013-04-24 Thomas Kalinowski , Nina Nardoytska , Toby Walsh

An indivisible object may be sold to one of $n$ agents who know their valuations of the object. The seller would like to use a revenue-maximizing mechanism but her knowledge of the valuations' distribution is scarce: she knows only the…

Theoretical Economics · Economics 2020-08-27 Alex Suzdaltsev

We consider the bilateral trade problem, in which two agents trade a single indivisible item. It is known that the only dominant-strategy truthful mechanism is the fixed-price mechanism: given commonly known distributions of the buyer's…

Computer Science and Game Theory · Computer Science 2021-12-21 Zi Yang Kang , Francisco Pernice , Jan Vondrák

We study robustly optimal mechanisms for selling multiple items. The seller maximizes revenue against a worst-case distribution of a buyer's valuations within a set of distributions, called an "ambiguity" set. We identify the exact forms of…

Theoretical Economics · Economics 2024-08-26 Yeon-Koo Che , Weijie Zhong

We introduce the problem of assigning resources to improve their utilization. The motivation comes from settings where agents have uncertainty about their own values for using a resource, and where it is in the interest of a group that…

Computer Science and Game Theory · Computer Science 2018-11-02 Hongyao Ma , Reshef Meir , David C. Parkes , James Zou

We study the problem in which a central planner sequentially allocates a single resource to multiple strategic agents using their utility reports at each round, but without using any monetary transfers. We consider general agent utility…

Computer Science and Game Theory · Computer Science 2024-08-20 Moise Blanchard , Patrick Jaillet

We consider dominant strategy implementation in private values settings, when agents have multi-dimensional types, the set of alternatives is finite, monetary transfers are allowed, and agents have quasi-linear utilities. We show that any…

Computer Science and Game Theory · Computer Science 2010-03-09 Debasis Mishra , Arunava Sen

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 as follows: at each stage, a designated agent picks one object among those that remain.…

Artificial Intelligence · Computer Science 2018-08-01 Aurélie Beynier , Sylvain Bouveret , Michel Lemaître , Nicolas Maudet , Simon Rey

We study the envy free pricing problem faced by a seller who wishes to maximize revenue by setting prices for bundles of items. If there is an unlimited supply of items and agents are single minded then we show that finding the revenue…

Computer Science and Game Theory · Computer Science 2016-09-08 Amos Fiat , Amiram Wingarten

We study social welfare in one-sided matching markets where the goal is to efficiently allocate n items to n agents that each have a complete, private preference list and a unit demand over the items. Our focus is on allocation mechanisms…

Computer Science and Game Theory · Computer Science 2011-04-18 Anand Bhalgat , Deeparnab Chakrabarty , Sanjeev Khanna

We consider the fair division of indivisible items among $n$ agents with additive non-negative normalized valuations, with the goal of obtaining high value guarantees, that is, close to the proportional share for each agent. We prove that…

Computer Science and Game Theory · Computer Science 2026-02-13 Sushmita Gupta , Pallavi Jain , Sanjay Seetharaman , Meirav Zehavi