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Motivated by real-world applications, we study the fair allocation of graphical resources, where the resources are the vertices in a graph. Upon receiving a set of resources, an agent's utility equals the weight of a maximum matching in the…

Computer Science and Game Theory · Computer Science 2022-12-05 Zheng Chen , Bo Li , Minming Li , Guochuan Zhang

On two-sided matching platforms such as online dating and recruiting, recommendation algorithms often aim to maximize the total number of matches. However, this objective creates an imbalance, where some users receive far too many matches…

Machine Learning · Computer Science 2026-05-20 Ren Kishimoto , Rikiya Takehi , Koichi Tanaka , Masahiro Nomura , Riku Togashi , Yoji Tomita , Yuta Saito

The Stable Roommates problem involves matching a set of agents into pairs based on the agents' strict ordinal preference lists. The matching must be stable, meaning that no two agents strictly prefer each other to their assigned partners. A…

Computer Science and Game Theory · Computer Science 2021-07-12 Michael McKay , David Manlove

Ubiquitous mobile computing have enabled ride-hailing services to collect vast amounts of behavioral data of riders and drivers and optimize supply and demand matching in real time. While these mobility service providers have some degree of…

Machine Learning · Computer Science 2021-02-16 Takuma Oda

We study a sequence of independent one-shot non-cooperative games where agents play equilibria determined by a tunable mechanism. Observing only equilibrium decisions, without parametric or distributional knowledge of utilities, we aim to…

Computer Science and Game Theory · Computer Science 2025-11-10 Luke Snow , Vikram Krishnamurthy

Two-sided matching markets have long existed to pair agents in the absence of regulated exchanges. A common example is school choice, where a matching mechanism uses student and school preferences to assign students to schools. In such…

Machine Learning · Computer Science 2021-09-17 Stefania Ionescu , Yuhao Du , Kenneth Joseph , Anikó Hannák

We consider a matching system with random arrivals of items of different types. The items wait in queues -- one per each item type -- until they are "matched." Each matching requires certain quantities of items of different types; after a…

Probability · Mathematics 2018-04-24 Mohammadreza Nazari , Alexander L. Stolyar

Daily deals platforms such as Amazon Local, Google Offers, GroupOn, and LivingSocial have provided a new channel for merchants to directly market to consumers. In order to maximize consumer acquisition and retention, these platforms would…

Computer Science and Game Theory · Computer Science 2013-10-03 Yang Cai , Mohammad Mahdian , Aranyak Mehta , Bo Waggoner

Matching platforms, such as online dating services and job recommendations, have become increasingly prevalent. For the success of these platforms, it is crucial to design reciprocal recommender systems (RRSs) that not only increase the…

Information Retrieval · Computer Science 2026-02-26 Yoji Tomita , Tomohiko Yokoyama

Motivated by applications from gig economy and online marketplaces, we study a two-sided queueing system under joint pricing and matching controls. The queueing system is modeled by a bipartite graph, where the vertices represent customer…

Optimization and Control · Mathematics 2025-03-12 Sushil Mahavir Varma , Pornpawee Bumpensanti , Siva Theja Maguluri , He Wang

There are many economic contexts where the productivity and welfare performance of institutions and policies depend on who matches with whom. Examples include caseworkers and job seekers in job search assistance programs, medical doctors…

Econometrics · Economics 2025-07-21 Yagan Hazard , Toru Kitagawa

We initiate the study of the heterogeneous facility location problem with limited resources. We mainly focus on the fundamental case where a set of agents are positioned in the line segment [0,1] and have approval preferences over two…

Computer Science and Game Theory · Computer Science 2021-05-07 Argyrios Deligkas , Aris Filos-Ratsikas , Alexandros A. Voudouris

A natural optimization model that formulates many online resource allocation and revenue management problems is the online linear program (LP) in which the constraint matrix is revealed column by column along with the corresponding…

Data Structures and Algorithms · Computer Science 2014-04-10 Shipra Agrawal , Zizhuo Wang , Yinyu Ye

We consider the allocation of limited resources to heterogeneous customers who arrive in an online fashion. We would like to allocate the resources "fairly", so that no group of customers is marginalized in terms of their overall service…

Data Structures and Algorithms · Computer Science 2021-05-24 Will Ma , Pan Xu , Yifan Xu

A two-sided matching system is considered, where servers are assumed to arrive at a fixed rate, while the arrival rate of customers is modulated via a price-control mechanism. We analyse a loss model, wherein customers who are not served…

Optimization and Control · Mathematics 2022-07-26 Rahul Vaze , Jayakrishnan Nair

Finding schedules for pairwise meetings between the members of a complex social group without creating interpersonal conflict is challenging, especially when different relationships have different needs. We formally define and study the…

Data Structures and Algorithms · Computer Science 2024-03-28 Leszek Gąsieniec , Benjamin Smith , Sebastian Wild

Matching markets are often organized in a multi-stage and decentralized manner. Moreover, participants in real-world matching markets often have uncertain preferences. This article develops a framework for learning optimal strategies in…

Computer Science and Game Theory · Computer Science 2021-12-21 Xiaowu Dai , Michael I. Jordan

Motivated by programmatic advertising optimization, we consider the task of sequentially allocating budget across a set of resources. At every time step, a feasible allocation is chosen and only a corresponding random return is observed.…

Artificial Intelligence · Computer Science 2024-10-02 Juliette Achddou , Olivier Cappe , Aurélien Garivier

We study mechanism design when a designer repeatedly uses a fixed mechanism to interact with strategic agents who learn from observing their allocations. We introduce a static framework, calibrated mechanism design, requiring mechanisms to…

Theoretical Economics · Economics 2026-02-19 Laura Doval , Alex Smolin

Combinatorial Auctions are a central problem in Algorithmic Mechanism Design: pricing and allocating goods to buyers with complex preferences in order to maximize some desired objective (e.g., social welfare, revenue, or profit). The…

Computer Science and Game Theory · Computer Science 2015-03-19 Avrim Blum , Anupam Gupta , Yishay Mansour , Ankit Sharma