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We consider settings in which the right notion of fairness is not captured by simple mathematical definitions (such as equality of error rates across groups), but might be more complex and nuanced and thus require elicitation from…

Machine Learning · Computer Science 2020-10-15 Christopher Jung , Michael Kearns , Seth Neel , Aaron Roth , Logan Stapleton , Zhiwei Steven Wu

Explicit and implicit bias clouds human judgement, leading to discriminatory treatment of minority groups. A fundamental goal of algorithmic fairness is to avoid the pitfalls in human judgement by learning policies that improve the overall…

Machine Learning · Computer Science 2020-11-02 Yuzi He , Keith Burghardt , Siyi Guo , Kristina Lerman

We consider a multi-agent resource allocation setting that models the assignment of papers to reviewers. A recurring issue in allocation problems is the compatibility of welfare/efficiency and fairness. Given an oracle to find a…

Computer Science and Game Theory · Computer Science 2019-08-02 Haris Aziz , Xin Huang , Nicholas Mattei , Erel Segal-Halevi

We study $n$-dimensional contests between two players with heterogeneous effort costs, where each dimension (battle) is modeled as a Tullock contest. Prize-allocation rules are identity-independent, budget-balanced, and weakly increasing in…

Theoretical Economics · Economics 2026-03-31 Siyuan Fan , Zhonghong Kuang , Jingfeng Lu

We show that, in a resource allocation problem, the ex ante aggregate utility of players with cumulative-prospect-theoretic preferences can be increased over deterministic allocations by implementing lotteries. We formulate an optimization…

Theoretical Economics · Economics 2020-12-07 Soham R. Phade , Venkat Anantharam

How does one allocate a collection of resources to a set of strategic agents in a fair and efficient manner without using money? For in many scenarios it is not feasible to use money to compensate agents for otherwise unsatisfactory…

Computer Science and Game Theory · Computer Science 2012-07-10 Richard Cole , Vasilis Gkatzelis , Gagan Goel

We study the fair allocation of indivisible goods among agents with identical, additive valuations but individual budget constraints. Here, the indivisible goods--each with a specific size and value--need to be allocated such that the…

Computer Science and Game Theory · Computer Science 2023-03-20 Siddharth Barman , Arindam Khan , Sudarshan Shyam , K. V. N. Sreenivas

We consider the classic cake-cutting problem of producing fair allocations for $n$ agents, in the Robertson-Webb query model. In this model, it is known that: (i) proportional allocations can be computed using $O(n \log n)$ queries, and…

Computer Science and Game Theory · Computer Science 2025-06-17 Arnav Mehra , Alexandros Psomas

Fair division is typically framed from a centralized perspective. However, in practice resource allocation often occurs via decentralized networks. We study a decentralized variant of fair division inspired by altruistic dynamics observed…

Computer Science and Game Theory · Computer Science 2026-03-02 Joel Miller , Rishi Advani , Ian Kash , Chris Kanich , Lenore Zuck

Designing fair algorithmic decision systems requires balancing model performance with fairness toward affected individuals: More fairness might require sacrificing some performance and vice versa, yet the space of possible trade-offs is…

Machine Learning · Computer Science 2026-05-12 Mieke Wilms , Christoph Heitz

We consider the problem of allocating indivisible goods in a way that is fair, using one of the leading market mechanisms in economics: the competitive equilibrium from equal incomes. Focusing on two major classes of valuations, namely…

Computer Science and Game Theory · Computer Science 2016-07-19 Simina Brânzei , Hadi Hosseini , Peter Bro Miltersen

We study the classical rent division problem, where $n$ agents must allocate $n$ indivisible rooms and split a fixed total rent $R$. The goal is to compute an envy-free (EF) allocation, where no agent prefers another agent's room and rent…

Computer Science and Game Theory · Computer Science 2025-10-08 Rohith Reddy Gangam , Shayan Taherijam , Vijay V. Vazirani

We consider repeated allocation of a shared resource via a non-monetary mechanism, wherein a single item must be allocated to one of multiple agents in each round. We assume that each agent has i.i.d. values for the item across rounds, and…

Computer Science and Game Theory · Computer Science 2025-11-07 David X. Lin , Siddhartha Banerjee , Giannis Fikioris , Éva Tardos

In practice, most auction mechanisms are not strategy-proof, so equilibrium analysis is required to predict bidding behavior. In many auctions, though, an exact equilibrium is not known and one would like to understand whether -- manually…

Computer Science and Game Theory · Computer Science 2024-08-22 Fabian R. Pieroth , Tuomas Sandholm

Capital allocation is a procedure for quantifying the contribution of each source of risk to aggregated risk. The gradient allocation rule, also known as the Euler principle, is a prevalent rule of capital allocation under which the…

Risk Management · Quantitative Finance 2024-06-28 Takaaki Koike , Cathy W. S. Chen , Edward M. H. Lin

In fair division problems, the notion of price of fairness measures the loss in welfare due to a fairness constraint. Prior work on the price of fairness has focused primarily on envy-freeness up to one good (EF1) as the fairness…

Computer Science and Game Theory · Computer Science 2023-07-14 Umang Bhaskar , Neeldhara Misra , Aditi Sethia , Rohit Vaish

We study the problem of fair allocation for indivisible goods. We use the the maxmin share paradigm introduced by Budish as a measure for fairness. Procaccia and Wang (EC'14) were first to investigate this fundamental problem in the…

Computer Science and Game Theory · Computer Science 2017-07-25 Mohammad Ghodsi , MohammadTaghi Hajiaghayi , Masoud Seddighin , Saeed Seddighin , Hadi Yami

We study an online allocation problem with sequentially arriving items and adversarially chosen agent values, with the goal of balancing fairness and efficiency. Our goal is to study the performance of algorithms that achieve strong…

Computer Science and Game Theory · Computer Science 2023-08-21 Zongjun Yang , Luofeng Liao , Christian Kroer

A wide variety of resource allocation problems operate under resource constraints that are managed by a central arbitrator, with agents who evaluate and communicate preferences over these resources. We formulate this broad class of problems…

Machine Learning · Computer Science 2025-02-07 Ashwin Kumar , William Yeoh

Online resource allocation problems are central challenges in economics and computer science, modeling situations in which $n$ items arriving one at a time must each be immediately allocated among $m$ agents. In such problems, our objective…

Data Structures and Algorithms · Computer Science 2025-10-14 Kalen Patton