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Problem definition: In many matching markets, some agents are fully flexible, while others only accept a subset of jobs. For example, ridesharing drivers can specify on the platform the destinations they are willing to accept. Conventional…

Computer Science and Game Theory · Computer Science 2026-01-30 Chiwei Yan , Francisco Castro , Peter Frazier , Hongyao Ma , Hamid Nazerzadeh

We study a two-institution stable matching model in which candidates from two distinct groups are evaluated using partially correlated signals that are group-biased. This extends prior work (which assumes institutions evaluate candidates in…

Physics and Society · Physics 2025-11-11 Amit Kumar , Nisheeth K. Vishnoi

Sequential allocation is a simple and widely studied mechanism to allocate indivisible items in turns to agents according to a pre-specified picking sequence of agents. At each turn, the current agent in the picking sequence picks its most…

Data Structures and Algorithms · Computer Science 2019-09-17 Mingyu Xiao , Jiaxing Ling

In dynamic settings each economic agent's choices can be revealing of her private information. This elicitation via the rationalization of observable behavior depends each agent's perception of which payoff-relevant contingencies other…

Theoretical Economics · Economics 2021-05-17 Evan Piermont , Peio Zuazo-Garin

We study incentive design when multiple principals simultaneously design mechanisms for their respective teams in environments with strategic spillovers. In this environment, each principal's set of incentive-compatible mechanisms--those…

Theoretical Economics · Economics 2026-05-11 Brian Roberson

Motivated by the success of the serial dictatorship mechanism in social choice settings, we explore its usefulness in tackling various combinatorial optimization problems. We do so by considering an abstract model, in which a set of agents…

Computer Science and Game Theory · Computer Science 2022-09-09 Ioannis Caragiannis , Nidhi Rathi

Online bipartite-matching platforms are ubiquitous and find applications in important areas such as crowdsourcing and ridesharing. In the most general form, the platform consists of three entities: two sides to be matched and a platform…

Computer Science and Game Theory · Computer Science 2023-06-06 Seyed A. Esmaeili , Sharmila Duppala , Davidson Cheng , Vedant Nanda , Aravind Srinivasan , John P. Dickerson

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

We present a new data-driven model of fairness that, unlike existing static definitions of individual or group fairness is guided by the unfairness complaints received by the system. Our model supports multiple fairness criteria and takes…

Machine Learning · Computer Science 2020-08-24 Pranjal Awasthi , Corinna Cortes , Yishay Mansour , Mehryar Mohri

Several resource allocation problems involve multiple types of resources, with a different agency being responsible for "locally" allocating the resources of each type, while a central planner wishes to provide a guarantee on the properties…

Computer Science and Game Theory · Computer Science 2021-02-23 Sujoy Sikdar , Xiaoxi Guo , Haibin Wang , Lirong Xia , Yongzhi Cao

In dynamic mechanism design literature, one critical aspect has been typically ignored-the agents' periodic participation, which they can adapt and plan strategically. We propose a framework for dynamic principal-multiagent problems,…

Computer Science and Game Theory · Computer Science 2023-06-16 Tao Zhang , Quanyan Zhu

Designing two-sided matching mechanisms is challenging when practical demands for matching outcomes are difficult to formalize and the designed mechanism must satisfy theoretical conditions. To address this, prior work has proposed a…

Artificial Intelligence · Computer Science 2025-07-31 Ryota Maruo , Koh Takeuchi , Hisashi Kashima

We study the probabilistic assignment of items to platforms that satisfies both group and individual fairness constraints. Each item belongs to specific groups and has a preference ordering over platforms. Each platform enforces group…

Artificial Intelligence · Computer Science 2024-05-13 Atasi Panda , Anand Louis , Prajakta Nimbhorkar

We propose a dynamic allocation procedure that increases power and efficiency when measuring an average treatment effect in sequential randomized trials. Subjects arrive iteratively and are either randomized or paired via a matching…

Methodology · Statistics 2013-05-23 Adam Kapelner , Abba Krieger

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

We study the problem of matching agents who arrive at a marketplace over time and leave after d time periods. Agents can only be matched while they are present in the marketplace. Each pair of agents can yield a different match value, and…

Data Structures and Algorithms · Computer Science 2018-03-06 Itai Ashlagi , Maximilien Burq , Patrick Jaillet , Amin Saberi

We revisit the problem of designing optimal, individually rational matching mechanisms (in a general sense, allowing for cycles in directed graphs), where each player --- who is associated with a subset of vertices --- matches as many of…

Data Structures and Algorithms · Computer Science 2016-09-15 Avrim Blum , Ioannis Caragiannis , Nika Haghtalab , Ariel D. Procaccia , Eviatar B. Procaccia , Rohit Vaish

Sequential Social Dilemmas (SSDs) provide a key framework for studying how cooperation emerges when individual incentives conflict with collective welfare. In Multi-Agent Reinforcement Learning, these problems are often addressed by…

Machine Learning · Computer Science 2026-02-18 Alper Demir , Hüseyin Aydın , Kale-ab Abebe Tessera , David Abel , Stefano V. Albrecht

This paper explores a novel extension of dynamic matching theory by analyzing a three-way matching problem involving agents from three distinct populations, each with two possible types. Unlike traditional static or two-way dynamic models,…

Theoretical Economics · Economics 2025-07-09 Souvik Roy , Agamani Saha

In social decision-making among strategic agents, a universal focus lies on the balance between social and individual interests. Socially efficient mechanisms are thus desirably designed to not only maximize the social welfare but also…

Computer Science and Game Theory · Computer Science 2024-07-29 Hirota Kinoshita , Takayuki Osogami , Kohei Miyaguchi
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