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Stochastic matching is the stochastic version of the well-known matching problem, which consists in maximizing the rewards of a matching under a set of probability distributions associated with the nodes and edges. In most stochastic…

Optimization and Control · Mathematics 2024-05-01 Yuya Hikima , Yasunori Akagi , Hideaki Kim

In a multiple partners matching problem the agents can have multiple partners up to their capacities. In this paper we consider both the two-sided many-to-many stable matching problem and the one-sided stable fixtures problem under…

Computer Science and Game Theory · Computer Science 2022-02-14 Péter Biró , Gergely Csáji

We consider the theoretical properties of a model which encompasses bi-partite matching under transferable utility on the one hand, and hedonic pricing on the other. This framework is intimately connected to tripartite matching problems…

Economics · Quantitative Finance 2017-01-18 Brendan Pass

In this paper, we investigate stable matching in structured networks. Consider case of matching in social networks where candidates are not fully connected. A candidate on one side of the market gets acquaintance with which one on the…

Computer Science and Game Theory · Computer Science 2015-11-27 Ying Ling , Tao Wan , Zengchang Qin

In electricity markets, customers are increasingly constrained by their budgets. A budget constraint for a user is an upper bound on the price multiplied by the quantity. However, since prices are determined by the market equilibrium, the…

Computer Science and Game Theory · Computer Science 2026-03-24 Lila Perkins , Baosen Zhang

We consider design of monetary mechanisms for two-sided matching. Mechanisms in the tradition of the deferred acceptance algorithm, even in variants incorporating money, tend to focus on the criterion of stability. Instead, in this work we…

Computer Science and Game Theory · Computer Science 2025-06-30 Robin Bowers , Bo Waggoner

Conventional models of matching markets assume that monetary transfers can clear markets by compensating for utility differentials. However, empirical patterns show that such transfers often fail to close structural preference gaps. This…

Trading and Market Microstructure · Quantitative Finance 2025-11-27 Yao Wu

This paper deals with two-sided matching market with two disjoint sets, i.e. the set of buyers and the set of sellers. Each seller can trade with at most with one buyer and vice versa. Money is transferred from sellers to buyers for an…

Computer Science and Game Theory · Computer Science 2023-06-22 Yasir Ali , Asma Javaid

We study the existence of pairwise stable allocations in matching markets with contracts and propose a domain restriction that guarantees their existence. Specifically, we define pseudo-substitutable preferences, a domain that strictly…

Theoretical Economics · Economics 2026-04-21 Nadia Guiñazú , Noelia Juarez , Paola Manasero , Pablo Neme , Jorge Oviedo

Many two-sided matching markets, from labor markets to school choice programs, use a clearinghouse based on the applicant-proposing deferred acceptance algorithm, which is well known to be strategy-proof for the applicants. Nonetheless, a…

Computer Science and Game Theory · Computer Science 2018-07-19 Itai Ashlagi , Yannai A. Gonczarowski

We study a novel class of mechanism design problems in which the outcomes are constrained by the payments. This basic class of mechanism design problems captures many common economic situations, and yet it has not been studied, to our…

Computer Science and Game Theory · Computer Science 2013-12-02 Yaron Singer

We thoroughly study a generalized version of the classic Stable Marriage and Stable Roommates problems where agents may share partners. We consider two prominent stability concepts: ordinal stability [Aharoni and Fleiner, Journal of…

Computer Science and Game Theory · Computer Science 2020-11-25 Jiehua Chen , Sanjukta Roy , Manuel Sorge

This paper considers the estimation of treatment assignment rules when the policy maker faces a general budget or resource constraint. Utilizing the PAC-Bayesian framework, we propose new treatment assignment rules that allow for flexible…

Econometrics · Economics 2023-06-12 Daniel F. Pellatt

We consider two-sided matching markets, and study the incentives of agents to circumvent a centralized clearing house by signing binding contracts with one another. It is well-known that if the clearing house implements a stable match and…

Computer Science and Game Theory · Computer Science 2015-04-14 Nick Arnosti , Nicole Immorlica , Brendan Lucier

In the theory of two-sided matching markets there are two well-known models: the marriage model (where no money is involved) and the assignment model (where payments are involved). Roth and Sotomayor (1990) asked for an explanation for the…

Combinatorics · Mathematics 2007-05-23 Kimmo Eriksson , Johan Karlander

The effects of personnel scheduling on the quality of care and working conditions for healthcare personnel have been thoroughly documented. However, the ever-present demand and large variation of constraints make healthcare scheduling…

Artificial Intelligence · Computer Science 2025-06-03 Alvin Combrink , Stephie Do , Kristofer Bengtsson , Sabino Francesco Roselli , Martin Fabian

We study Bayesian mechanism design problems in settings where agents have budgets. Specifically, an agent's utility for an outcome is given by his value for the outcome minus any payment he makes to the mechanism, as long as the payment is…

Computer Science and Game Theory · Computer Science 2015-03-19 Shuchi Chawla , David Malec , Azarakhsh Malekian

An employer contracts with a worker to incentivize efforts whose productivity depends on ability; the worker then enters a market that pays him contingent on ability evaluation. With non-additive monitoring technology, the interdependence…

Theoretical Economics · Economics 2025-07-31 Tan Gan , Hongcheng Li

Staff scheduling is a well-known problem in operations research and finds its application at hospitals, airports, supermarkets, and many others. Its goal is to assign shifts to staff members such that a certain objective function, e.g.…

Discrete Mathematics · Computer Science 2026-04-28 Debsankha Manik , Rico Raber

We study bilateral trade between two strategic agents. The celebrated result of Myerson and Satterthwaite states that in general, no incentive-compatible, individually rational and weakly budget balanced mechanism can be efficient. I.e., no…

Computer Science and Game Theory · Computer Science 2021-11-08 Yuan Deng , Jieming Mao , Balasubramanian Sivan , Kangning Wang