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We investigate a market without money in which agents can offer certain goods (or multiple copies of an agent-specific good) in exchange for goods of other agents. The exchange must be balanced in the sense that each agent should receive a…

Discrete Mathematics · Computer Science 2021-04-02 Pavlos Eirinakis , Ioannis Mourtos , Michalis Samaris

The Hylland-Zeckhauser gave a classic pricing-based mechanism (HZ) for a one-sided matching market; it yields allocations satisfying Pareto optimality and envy-freeness (Hylland and Zeckhauser, 1979), and the mechanism is incentive…

Computer Science and Game Theory · Computer Science 2023-10-26 Thorben Tröbst , Vijay V Vazirani

The literature on centralized matching markets often assumes that a true preference of each player is known to herself and fixed, but empirical evidence casts doubt on its plausibility. To circumvent the problem, we consider evolutionary…

Theoretical Economics · Economics 2022-05-18 Hidemasa Ishii , Nariaki Nishino

Stable matchings have been studied extensively in social choice literature. The focus has been mostly on integral matchings, in which the nodes on the two sides are wholly matched. A fractional matching, which is a convex combination of…

Computer Science and Game Theory · Computer Science 2022-04-20 Shivika Narang , Y Narahari

We study stable matching problems with locality of information and control. In our model, each agent is a node in a fixed network and strives to be matched to another agent. An agent has a complete preference list over all other agents it…

Data Structures and Algorithms · Computer Science 2016-11-22 Martin Hoefer , Lisa Wagner

We study the online unweighted bipartite matching problem in the random arrival order model, with $n$ offline and $n$ online vertices, in the learning-augmented setting: The algorithm is provided with untrusted predictions of the types…

Machine Learning · Computer Science 2025-12-01 Kunanon Burathep , Thomas Erlebach , William K. Moses

We study matching markets with ties, where workers on one side of the market may have tied preferences over jobs, determined by their matching utilities. Unlike classical two-sided markets with strict preferences, no single stable matching…

Computer Science and Game Theory · Computer Science 2025-10-23 Shiyun Lin , Simon Mauras , Nadav Merlis , Vianney Perchet

We study Matching and other related problems in a partial information setting where the agents' utilities for being matched to other agents are hidden and the mechanism only has access to ordinal preference information. Our model is…

Computer Science and Game Theory · Computer Science 2016-08-03 Elliot Anshelevich , Shreyas Sekar

The problem of learning a correspondence relationship between nodes of two networks has drawn much attention of the computer science community and recently that of statisticians. The unseeded version of this problem, in which we do not know…

Methodology · Statistics 2018-08-24 Yuan Zhang

While the stable marriage problem and its variants model a vast range of matching markets, they fail to capture complex agent relationships, such as the affiliation of applicants and employers in an interview marketplace. To model this…

Computer Science and Game Theory · Computer Science 2022-02-23 Marina Knittel , Samuel Dooley , John P. Dickerson

We study ex-post fairness in the object allocation problem where objects are valuable and commonly owned. A matching is fair from individual perspective if it has only inevitable envy towards agents who received most preferred objects --…

Computer Science and Game Theory · Computer Science 2022-09-09 Aleksei Y. Kondratev , Alexander S. Nesterov

We introduce a new class of combinatorial markets in which agents have covering constraints over resources required and are interested in delay minimization. Our market model is applicable to several settings including scheduling, cloud…

Computer Science and Game Theory · Computer Science 2017-04-17 Nikhil Devanur , Jugal Garg , Ruta Mehta , Vijay V. Vazirani , Sadra Yazdanbod

This paper considers trial-offer markets where consumer preferences are modeled by a multinomial logit with social influence and position bias. The social signal for a product is given by its current market share raised to power r (or…

Social and Information Networks · Computer Science 2017-11-06 Felipe Maldonado , Pascal Van Hentenryck , Gerardo Berbeglia , Franco Berbeglia

We consider the stable matching problem when the preference lists are not given explicitly but are represented in a succinct way and ask whether the problem becomes computationally easier and investigate other implications. We give…

Data Structures and Algorithms · Computer Science 2016-12-21 Marvin Künnemann , Daniel Moeller , Ramamohan Paturi , Stefan Schneider

In the stable marriage problem, a set of men and a set of women are given, each of whom has a strictly ordered preference list over the acceptable agents in the opposite class. A matching is called stable if it is not blocked by any pair of…

Discrete Mathematics · Computer Science 2019-07-25 Ágnes Cseh , Klaus Heeger

We study a natural combinatorial pricing problem for sequentially arriving buyers with equal budgets. Each buyer is interested in exactly one pair of items and purchases this pair if and only if, upon arrival, both items are still available…

Computer Science and Game Theory · Computer Science 2023-02-24 Christoph Dürr , Mathieu Mari , Ulrike Schmidt-Kraepelin

We introduce a simple benchmark model of dynamic matching in networked markets, where agents arrive and depart stochastically and the network of acceptable transactions among agents forms a random graph. We analyze our model from three…

Computer Science and Game Theory · Computer Science 2014-02-18 Mohammad Akbarpour , Shengwu Li , Shayan Oveis Gharan

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 consider the three-dimensional stable matching problem with cyclic preferences, a problem originally proposed by Knuth. Despite extensive study of the problem by experts from different areas, the question of whether every instance of…

Computer Science and Game Theory · Computer Science 2018-10-02 Kanstantsin Pashkovich , Laurent Poirrier

The stable marriage problem is a well-known problem of matching men to women so that no man and woman, who are not married to each other, both prefer each other. Such a problem has a wide variety of practical applications, ranging from…

Artificial Intelligence · Computer Science 2016-11-25 Maria Silvia Pini , Francesca Rossi , Brent Venable , Toby Walsh