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Barter exchange studies the setting where each agent owns a good, and they can exchange with each other if that gives them more preferred goods. This exchange will give better outcomes if there are more participants. The challenge here is…

Computer Science and Game Theory · Computer Science 2020-10-13 Yue Zheng , Tianyi Yang , Wen Zhang , Dengji Zhao

We consider the problem of packing node-disjoint directed paths in a directed graph. We consider a variant of this problem where each path starts within a fixed subset of root nodes, subject to a given bound on the length of paths. This…

Data Structures and Algorithms · Computer Science 2016-03-22 Patrick Eschenfeldt , David Gamarnik

We explore the clearing problem in the barter exchange market. The problem, described in the terminology of graph theory, is to find a set of vertex-disjoint, length-restricted cycles that maximize the total weight in a weighted digraph.…

Computer Science and Game Theory · Computer Science 2016-05-31 Suiqian Luo , Pingzhong Tang , Chenggang Wu , Jianyang Zeng

Kidney Exchange Programs (KEPs) promote access to living donor trans- plantation for patients suffering from end stage renal disease. The HLA compatibility between transplant recipients and donors plays an important role when solving the…

Optimization and Control · Mathematics 2025-10-17 Valentina Peralta Clarke , Hans de Ferrante , Francisco Perez Galarce , Joris van de Klundert

Kidney transplantation is the best treatment for end-stage renal failure patients. The predominant method used for kidney quality assessment is the Cox regression-based, kidney donor risk index. A machine learning method may provide…

Machine Learning · Computer Science 2020-12-08 Eric S. Pahl , W. Nick Street , Hans J. Johnson , Alan I. Reed

We study the parameterized complexity of a recently introduced multi-agent variant of the Kidney Exchange problem. Given a directed graph $G$ and integers $d$ and $k$, the standard problem asks whether $G$ contains a packing of…

Data Structures and Algorithms · Computer Science 2025-10-13 Bart M. P. Jansen , Jeroen S. K. Lamme , Ruben F. A. Verhaegh

Consider a barter exchange problem over a finite set of agents, where each agent owns an item and is also associated with a (privately known) wish list of items belonging to the other agents. An outcome of the problem is a (re)allocation of…

Computer Science and Game Theory · Computer Science 2024-10-10 Yuval Emek , Matan-El Shpiro

Kidney transplantation is the most effective renal replacement therapy for end stage renal disease patients. With the severe shortage of kidney supplies and for the clinical effectiveness of transplantation, patient's life expectancy post…

Methodology · Statistics 2023-10-19 Ge Zhao , Yanyuan Ma , Huazhen Lin , Yi Li

Heart transplantation is a viable path for patients suffering from advanced heart failure, but this lifesaving option is severely limited due to donor shortage. Although the current allocation policy was recently revised in 2018, a major…

Machine Learning · Computer Science 2025-12-16 Ioannis Anagnostides , Zachary W. Sollie , Arman Kilic , Tuomas Sandholm

Each year, thousands of patients in need of heart transplants face life-threatening wait times due to organ scarcity. While allocation policies aim to maximize population-level outcomes, current approaches often fail to account for the…

Machine Learning · Computer Science 2026-02-10 Itai Zilberstein , Ioannis Anagnostides , Zachary W. Sollie , Arman Kilic , Tuomas Sandholm

Kidney exchange programs have substantially increased transplantation rates but also raise critical concerns about fairness in organ allocation. We propose a novel framework leveraging Data Envelopment Analysis (DEA) to evaluate multiple…

Computers and Society · Computer Science 2025-12-09 Ali Kaazempur-Mofrad , Xiaowu Dai

We consider multi-item exchange markets in which agents want to receive one of their target bundles of resources. The model encompasses well-studied markets for kidney exchange, lung exchange, and multi-organ exchange. We identify a general…

Computer Science and Game Theory · Computer Science 2020-07-10 Haris Aziz

Despite efforts to increase the supply of organs from living donors, most kidney transplants performed in Australia still come from deceased donors. The age of these donated organs has increased substantially in recent decades as the rate…

Computer Science and Game Theory · Computer Science 2017-10-19 Toby Walsh

In this paper, we generalize the recently studied Stochastic Matching problem to more accurately model a significant medical process, kidney exchange, and several other applications. Up until now the Stochastic Matching problem that has…

Data Structures and Algorithms · Computer Science 2022-05-31 Alireza Farhadi , Jacob Gilbert , MohammadTaghi Hajiaghayi

Kidney transplantation is the preferred treatment for people suffering from end-stage renal disease. Successful kidney transplants still fail over time, known as graft failure; however, the time to graft failure, or graft survival time, can…

Machine Learning · Computer Science 2022-11-07 Zhipeng Huang , Kevin S. Xu

Cross-chain swaps enable exchange of different assets that reside on different blockchains. Several protocols have been proposed for atomic cross-chain swaps. However, those protocols are not fault-tolerant, in the sense that if any party…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-15 Yingjie Xue , Di Jin , Maurice Herlihy

We propose a simulation-optimization-based methodology to improve the way that organ transplant offers are made to potential recipients. Our policy can be applied to all types of organs, is implemented starting at the local level, is…

Medical Physics · Physics 2022-12-01 Ignacio Erazo , David Goldsman , Pinar Keskinocak , Joel Sokol

The allocation of scarce donor organs constitutes one of the most consequential algorithmic challenges in healthcare. While the field is rapidly transitioning from rigid, rule-based systems to machine learning and data-driven optimization,…

Machine Learning · Computer Science 2026-05-27 Ioannis Anagnostides , Itai Zilberstein , Zachary W. Sollie , Arman Kilic , Tuomas Sandholm

We study a setting where a set of agents engage in pairwise exchanges of freely replicable goods (e.g., digital goods such as data), where two agents grant each other a copy of a good they possess in exchange for a good they lack. Such…

Computer Science and Game Theory · Computer Science 2026-03-16 Shangyuan Yang , Kirthevasan Kandasamy

The stochastic matching problem deals with finding a maximum matching in a graph whose edges are unknown but can be accessed via queries. This is a special case of stochastic $k$-set packing, where the problem is to find a maximum packing…

Data Structures and Algorithms · Computer Science 2015-04-30 Avrim Blum , John P. Dickerson , Nika Haghtalab , Ariel D. Procaccia , Tuomas Sandholm , Ankit Sharma