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The kidney exchange problem (KEP) is to find a constellation of exchanges that maximizes the number of transplants that can be carried out for a set of pairs of patients with kidney disease and their incompatible donors. Recently, this…

Cryptography and Security · Computer Science 2023-10-24 Malte Breuer , Pascal Hein , Leonardo Pompe , Ben Temme , Ulrike Meyer , Susanne Wetzel

Kidney transplants are sharply overdemanded in the United States. A recent innovation to address organ shortages is a kidney exchange, in which willing but medically incompatible patient-donor pairs swap donors so that two successful…

Computer Science and Game Theory · Computer Science 2019-12-24 Irena Gao

Kidney exchange is a transplant modality that has provided new opportunities for living kidney donation in many countries around the world since 1991. It has been extensively studied from an Operational Research (OR) perspective since 2004.…

Data Structures and Algorithms · Computer Science 2025-09-03 Mathijs Barkel , Rachael Colley , Maxence Delorme , David Manlove , William Pettersson

Kidney exchanges are organized markets where patients swap willing but incompatible donors. In the last decade, kidney exchanges grew from small and regional to large and national---and soon, international. This growth results in more lives…

Artificial Intelligence · Computer Science 2016-12-19 John P. Dickerson , Aleksandr M. Kazachkov , Ariel D. Procaccia , Tuomas Sandholm

In barter exchanges, participants directly trade their endowed goods in a constrained economic setting without money. Transactions in barter exchanges are often facilitated via a central clearinghouse that must match participants even in…

Artificial Intelligence · Computer Science 2018-11-09 Duncan C McElfresh , Hoda Bidkhori , John P Dickerson

Kidney transplantation is the preferred treatment for end-stage renal disease, yet the scarcity of donors and inefficiencies in allocation systems create major bottlenecks, resulting in prolonged wait times and alarming mortality rates.…

Computer Science and Game Theory · Computer Science 2024-10-15 Sean Berry , Berk Gorgulu , Sait Tunc , Mucahit Cevik , Matthew J Ellis

Renal patients which have a willing but incompatible donor can decide to participate in a kidney exchange program (KEP). The goal of a KEP is to identify sets of such incompatible pairs that can exchange donors, leading to compatible…

Optimization and Control · Mathematics 2023-02-24 Danny Blom , Christopher Hojny , Bart Smeulders

In barter exchanges, participants swap goods with one another without exchanging money; exchanges are often facilitated by a central clearinghouse, with the goal of maximizing the aggregate quality (or number) of swaps. Barter exchanges are…

Artificial Intelligence · Computer Science 2020-10-26 Duncan C McElfresh , Michael Curry , Tuomas Sandholm , John P Dickerson

Motivated by the real-world problem of international kidney exchange (IKEP), recent literature introduced a generalized transferable utility matching game featuring a partition of the vertex set of a graph into players, and analyzed its…

Computer Science and Game Theory · Computer Science 2026-02-24 Gergely Csáji , Tamás Király , Zsuzsa Mészáros-Karkus

Kidney exchange programs have been developed to overcome the compatibility challenges for patients with incompatible donors in kidney transplantation. A registry of such incompatible donor-recipient pairs is created, and compatibility is…

Optimization and Control · Mathematics 2025-08-07 Utkarsh Verma , Narayan Rangaraj

Background: The kidney exchange problem (KEP) addresses the matching of patients in need for a replacement organ with compatible living donors. Ideally many medical institutions should participate in a matching program to increase the…

Cryptography and Security · Computer Science 2022-04-22 Timm Birka , Kay Hamacher , Tobias Kussel , Helen Möllering , Thomas Schneider

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

The Kidney Exchange Problem is a prominent challenge in healthcare and economics, arising in the context of organ transplantation. It has been extensively studied in artificial intelligence and optimization. In a kidney exchange, a set of…

Data Structures and Algorithms · Computer Science 2026-05-12 Kangyi Tian , Mingyu Xiao

In kidney exchange programs, multiple patient-donor pairs each of whom are otherwise incompatible, exchange their donors to receive compatible kidneys. The Kidney Exchange problem is typically modelled as a directed graph where every vertex…

Computer Science and Game Theory · Computer Science 2024-06-17 Arnab Maiti , Palash Dey

The seminal work of Roth, S\"onmez, & \"Unver shows that the Edmonds-Gallai structure theorem for non-bipartite matching can be leveraged to yield a randomized algorithm to match patient-donor pairs in kidney exchange with extraordinarily…

Data Structures and Algorithms · Computer Science 2026-05-20 Claire Chang , Arin Khare , David Shmoys

Relatives and friends of an end-stage renal disease patient who offer to donate a kidney are often found to be incompatible with their intended recipients. Kidney paired donation matches one patient and his incompatible donor with another…

Computer Science and Game Theory · Computer Science 2017-10-24 Sommer Gentry , Michal Mankowski , T. S. Michael , Dorry Segev

To this day, there are still some countries where the exchange of kidneys between multiple incompatible patient-donor pairs is restricted by law. Typically, legal regulations in this context are put in place to prohibit coercion and…

Cryptography and Security · Computer Science 2022-06-03 Malte Breuer , Ulrike Meyer , Susanne Wetzel

Motivated by kidney exchange, we study the following mechanism-design problem: On a directed graph (of transplant compatibilities among patient-donor pairs), the mechanism must select a simple path (a chain of transplantations) starting at…

Computer Science and Game Theory · Computer Science 2021-06-23 Avrim Blum , Paul Gölz

This paper addresses the problem of maximizing the expected size of a matching in the case of unreliable vertices and/or edges. The assumption is that upon failure, remaining vertices that have not been matched may be subject to a new…

Data Structures and Algorithms · Computer Science 2016-05-30 João Pedro Pedroso , Shiro Ikeda

A kidney transplant can improve the life expectancy and quality of life of patients with end-stage renal failure. Even more patients could be helped with a transplant if the rate of kidneys that are discarded and not transplanted could be…