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We study the trade-offs between strategyproofness and other desiderata, such as efficiency or fairness, that often arise in the design of random ordinal mechanisms. We use approximate strategyproofness to define manipulability, a measure to…

Computer Science and Game Theory · Computer Science 2017-01-11 Timo Mennle , Sven Seuken

Strategy-proof mechanisms are widely used in market design. In an abstract allocation framework where outside options are available to agents, we obtain two results for strategy-proof mechanisms. They provide a unified foundation for…

Theoretical Economics · Economics 2021-01-05 Jun Zhang

A principal must allocate a set of heterogeneous tasks (or objects) among multiple agents. The principal has preferences over the allocation. Each agent has preferences over which tasks they are assigned, which are their private…

Theoretical Economics · Economics 2026-01-29 Quitzé Valenzuela-Stookey

In many settings the power of truthful mechanisms is severely bounded. In this paper we use randomization to overcome this problem. In particular, we construct an FPTAS for multi-unit auctions that is truthful in expectation, whereas there…

Computer Science and Game Theory · Computer Science 2009-08-24 Shahar Dobzinski , Shaddin Dughmi

Fair allocation of indivisible goods has attracted extensive attention over the last two decades, yielding numerous elegant algorithmic results and producing challenging open questions. The problem becomes much harder in the presence of…

Computer Science and Game Theory · Computer Science 2023-02-01 Georgios Amanatidis , Georgios Birmpas , Philip Lazos , Stefano Leonardi , Rebecca Reiffenhäuser

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

A menu description exposes strategyproofness by presenting a mechanism to player $i$ in two steps. Step (1) uses others' reports to describe $i$'s menu of potential outcomes. Step (2) uses $i$'s report to select $i$'s favorite outcome from…

Theoretical Economics · Economics 2025-10-10 Yannai A. Gonczarowski , Ori Heffetz , Clayton Thomas

Fair division mechanisms for indivisible goods require agent orderings to deterministically select one allocation when running the algorithm in practice. We introduce position envy-freeness up to one good (PEF1) as a fairness criterion for…

Computer Science and Game Theory · Computer Science 2025-11-18 Ryoga Mahara , Ryuhei Mizutani , Taihei Oki , Tomohiko Yokoyama

We introduce a new family of mechanisms for one-sided matching markets, denoted pick-an-object (PAO) mechanisms. When implementing an allocation rule via PAO, agents are asked to pick an object from individualized menus. These choices may…

Theoretical Economics · Economics 2023-02-07 Inácio Bó , Rustamdjan Hakimov

The cake-cutting problem involves dividing a heterogeneous, divisible resource fairly between $n$ agents. Br\^{a}nzei et al. [6] introduced {\em generalised cut and choose} (GCC) protocols, a formal model for representing cake-cutting…

Computer Science and Game Theory · Computer Science 2021-08-10 Paul W. Goldberg , Ioana Iaru

Learning data representations that are transferable and are fair with respect to certain protected attributes is crucial to reducing unfair decisions while preserving the utility of the data. We propose an information-theoretically…

Machine Learning · Computer Science 2020-03-17 Jiaming Song , Pratyusha Kalluri , Aditya Grover , Shengjia Zhao , Stefano Ermon

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

Most decision-making models, including the pairwise comparison method, assume the decision-makers honesty. However, it is easy to imagine a situation where a decision-maker tries to manipulate the ranking results. This paper presents three…

Artificial Intelligence · Computer Science 2024-10-11 Michał Strada , Sebastian Ernst , Jacek Szybowski , Konrad Kułakowski

Abstract Like electoral systems, decision-making methods are also vulnerable to manipulation by decision-makers. The ability to effectively defend against such threats can only come from thoroughly understanding the manipulation mechanisms.…

Artificial Intelligence · Computer Science 2024-03-25 Jacek Szybowski , Konrad Kułakowski , Jiri Mazurek , Sebastian Ernst

We consider the following control problem on fair allocation of indivisible goods. Given a set $I$ of items and a set of agents, each having strict linear preference over the items, we ask for a minimum subset of the items whose deletion…

Multiagent Systems · Computer Science 2017-06-01 Britta Dorn , Ronald de Haan , Ildikó Schlotter

The deferred acceptance algorithm is an elegant solution to the stable matching problem that guarantees optimality and truthfulness for one side of the market. Despite these desirable guarantees, it is susceptible to strategic misreporting…

Computer Science and Game Theory · Computer Science 2020-12-09 Hadi Hosseini , Fatima Umar , Rohit Vaish

Bounded rationality in mechanism design aims to ensure incentive-compatibility for agents who are cognitively limited. These agents lack the contingent reasoning skills that traditional mechanism design assumes, and depending on how these…

Computer Science and Game Theory · Computer Science 2024-02-14 Thomas Archbold , Bart de Keijzer , Carmine Ventre

We study the problem of fairly allocating indivisible items and a desirable heterogeneous divisible good (i.e., cake) to agents with additive utilities. In our paper, each indivisible item can be a good that yields non-negative utilities to…

Computer Science and Game Theory · Computer Science 2025-11-10 Haris Aziz , Xinhang Lu , Simon Mackenzie , Mashbat Suzuki

Ann likes oranges much more than apples; Bob likes apples much more than oranges. Tomorrow they will receive one fruit that will be an orange or an apple with equal probability. Giving one half to each agent is fair for each realization of…

Computer Science and Game Theory · Computer Science 2021-01-12 Anna Bogomolnaia , Herve Moulin , Fedor Sandomirskiy

We study resource allocation in two-sided markets from a fundamental perspective and introduce a general modeling and algorithmic framework to effectively incorporate the complex and multidimensional aspects of fairness. Our main technical…

Computer Science and Game Theory · Computer Science 2025-06-03 Javier Cembrano , Andrés Moraga , Victor Verdugo