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Recently, many matching systems around the world have been reformed. These reforms responded to objections that the matching mechanisms in use were unfair and manipulable. Surprisingly, the mechanisms remained unfair even after the reforms:…

Theoretical Economics · Economics 2024-09-25 Somouaoga Bonkoungou , Alexander Nesterov

Strategic suppression of grades, as well as early offers and contracts, are well-known phenomena in the matching process where graduating students apply to jobs or further education. In this paper, we consider a game theoretic model of…

Computer Science and Game Theory · Computer Science 2015-07-13 Hedyeh Beyhaghi , Nishanth Dikkala , Eva Tardos

We study how to allocate resources to participants who can strategically misrepresent their deservingness at a cost. A principal assigns item(s) (or money) among multiple agents on the basis of their costly signals. Each agent's signal…

Theoretical Economics · Economics 2026-03-05 Yingkai Li , Xiaoyun Qiu

The prevalence and importance of algorithmic two-sided marketplaces has drawn attention to the issue of fairness in such settings. Algorithmic decisions are used in assigning students to schools, users to advertisers, and applicants to job…

Machine Learning · Computer Science 2023-06-19 Siddartha Devic , David Kempe , Vatsal Sharan , Aleksandra Korolova

This paper considers the problem of randomly assigning a set of objects to a set of agents based on the ordinal preferences of agents. We generalize the well-known immediate acceptance algorithm to the afore-mentioned random environments…

Theoretical Economics · Economics 2021-04-20 Yajing Chen , Patrick Harless , Zhenhua Jiao

We revisit the classic job-market signaling model of \cite{spence1973job}, introducing profit-seeking schools as intermediaries that design the mapping from candidates' efforts to job-market signals. Each school commits to an attendance fee…

Theoretical Economics · Economics 2025-02-05 Matteo Camboni , Mingzi Niu , Mallesh M. Pai , Rakesh Vohra

In priority-based matching, serial dictatorship (SD) is simple, strategyproof, and Pareto efficient, but not free of justified envy (i.e. fair). This paper studies how to fairly order agents in SD as a function of their priorities. I show…

Theoretical Economics · Economics 2026-03-09 Adam Hamdan

This paper links matching markets with aligned preferences to optimal transport theory. We show that stability, efficiency, and fairness emerge as solutions to a parametric family of optimal transport problems. The parameter reflects…

Theoretical Economics · Economics 2025-03-17 Federico Echenique , Joseph Root , Fedor Sandomirskiy

In this paper, we study university admissions under a centralized system that uses grades and standardized test scores to match applicants to university programs. We consider affirmative action policies that seek to increase the number of…

Computers and Society · Computer Science 2020-07-03 Corinna Hertweck , Carlos Castillo , Michael Mathioudakis

Approximate Competitive Equilibrium from Equal Incomes (A-CEEI) is an equilibrium-based solution concept for fair division of discrete items to agents with combinatorial demands. In theory, it is known that in asymptotically large markets:…

Computer Science and Game Theory · Computer Science 2023-06-01 Eric Budish , Ruiquan Gao , Abraham Othman , Aviad Rubinstein , Qianfan Zhang

We study the optimal allocation of prizes in rank-order tournaments with loss averse agents. Prize sharing becomes increasingly optimal with loss aversion because more equitable prizes reduce the marginal psychological cost of anticipated…

Theoretical Economics · Economics 2024-11-05 Dmitry Ryvkin , Qin Wu

In the Seat Arrangement problem the goal is to allocate agents to vertices in a graph such that the resulting arrangement is optimal or fair in some way. Examples include an arrangement that maximises utility or one where no agent envies…

Data Structures and Algorithms · Computer Science 2026-01-27 José Rodríguez

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

Our work introduces the effect of supply/demand imbalances into the literature on online matching with stochastic rewards in bipartite graphs. We provide a parameterized definition that characterizes instances as over- or undersupplied (or…

Data Structures and Algorithms · Computer Science 2025-02-12 Benjamin Barrientos , Daniel Freund , Daniela Saban

With a novel search algorithm or assortment planning or assortment optimization algorithm that takes into account a Bayesian approach to information updating and two-stage assortment optimization techniques, the current research provides a…

Theoretical Economics · Economics 2023-07-19 Dipankar Das

The problem of allocating students to supervisors for the development of a personal project or a dissertation is a crucial activity in the higher education environment, as it enables students to get feedback on their work from an expert and…

Artificial Intelligence · Computer Science 2018-12-18 Victor Sanchez-Anguix , Rithin Chalumuri , Reyhan Aydogan , Vicente Julian

Resource allocation is fundamental to a variety of societal decision-making settings, ranging from the distribution of charitable donations to assigning limited public housing among interested families. A central challenge in this context…

Computer Science and Game Theory · Computer Science 2025-06-11 Hadi Hosseini , Joshua Kavner , Sujoy Sikdar , Rohit Vaish , Lirong Xia

Scheduling university courses is extra challenging when classroom capacities are reduced because of social distancing requirements that are implemented in response to a pandemic such as COVID-19. In this work, we propose an expanded…

Optimization and Control · Mathematics 2024-07-12 Matthew E. H. Petering , Mohammad Khamechian

The fair allocation of scarce resources is a central problem in mathematics, computer science, operations research, and economics. While much of the fair-division literature assumes that individuals have underlying cardinal preferences,…

Computer Science and Game Theory · Computer Science 2026-03-02 Trung Dang , Daniel Halpern , Anuran Makur , Alexandros Psomas , Japneet Singh , Paritosh Verma

This article investigates mechanism-based explanations for a well-known empirical pattern in sociology of education, namely, that Black-White unequal access to school resources -- defined as advanced coursework -- is the highest in racially…

Physics and Society · Physics 2023-06-28 João M. Souto-Maior