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A kidney exchange is an organized barter market where patients in need of a kidney swap willing but incompatible donors. Determining an optimal set of exchanges is theoretically and empirically hard. Traditionally, exchanges took place in…

Data Structures and Algorithms · Computer Science 2016-06-14 John P. Dickerson , David F. Manlove , Benjamin Plaut , Tuomas Sandholm , James Trimble

We study an elementary path problem which appears in the pricing step of a column generation scheme solving the kidney exchange problem. The latter aims at finding exchanges of donations in a pool of patients and donors of kidney…

Data Structures and Algorithms · Computer Science 2022-01-24 Lucie Pansart , Hadrien Cambazard , Nicolas Catusse

Kidney paired donation programs allow patients registered with an incompatible donor to receive a suitable kidney from another donor, as long as the latter's co-registered patient, if any, also receives a kidney from a different donor. The…

Optimization and Control · Mathematics 2023-03-13 Lizeth Carolina Riascos-Álvarez , Merve Bodur , Dionne M. Aleman

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

A kidney exchange is a centrally-administered barter market where patients swap their willing yet incompatible donors. Modern kidney exchanges use 2-cycles, 3-cycles, and chains initiated by non-directed donors (altruists who are willing to…

Computer Science and Game Theory · Computer Science 2017-05-29 Gabriele Farina , John P. Dickerson , 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

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 kidney exchange mechanism allows many patient-donor pairs who are otherwise incompatible with each other to come together and exchange kidneys along a cycle. However, due to infrastructure and legal constraints, kidney exchange can only…

Data Structures and Algorithms · Computer Science 2026-01-01 Aritra Banik , Sujoy Bhore , Palash Dey , Abhishek Sahu

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

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

Kidney donations from living donors form an attractive alternative to long waiting times on a list for a post-mortem donation. However, even if a living donor for a given patient is found, the donor's kidney might not meet the patient's…

Cryptography and Security · Computer Science 2020-11-11 Malte Breuer , Ulrike Meyer , Susanne Wetzel , Anja Mühlfeld

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

We consider a well-studied online random graph model for kidney exchange, where nodes representing patient-donor pairs arrive over time, and the probability of a directed edge is p. We assume existence of a single altruistic donor, who…

Computer Science and Game Theory · Computer Science 2020-10-06 Avrim Blum , Yishay Mansour

In kidney exchange programmes (KEP) patients may swap their incompatible donors leading to cycles of kidney transplants. Nowadays, countries try to merge their national patient-donor pools leading to international KEPs (IKEPs). As shown in…

Computer Science and Game Theory · Computer Science 2025-12-30 Márton Benedek , Péter Biró , Gergely Csáji , Matthew Johnson , Daniël Paulusma , Xin Ye

Kidney exchange programs among hospitals in the United States and across European countries improve efficiency by pooling donors and patients on a centralized platform. Sustaining such cooperation requires stability. When the core is empty,…

Computer Science and Game Theory · Computer Science 2026-02-12 Gergely Csáji , Thánh Nguyen

In barter exchanges agents enter seeking to swap their items for other items on their wishlist. We consider a centralized barter exchange with a set of agents and items where each item has a positive value. The goal is to compute a…

Data Structures and Algorithms · Computer Science 2024-06-21 Juan Luque , Sharmila Duppala , John Dickerson , Aravind Srinivasan

In kidney exchange programmes patients with end-stage renal failure may exchange their willing, but incompatible living donors among each other. National kidney exchange programmes are in operation in ten European countries, and some of…

Optimization and Control · Mathematics 2019-04-22 Péter Biró , Márton Gyetvai , Radu Stefan Mincu , Alexandru Popa , Utkarsh Verma

Algorithms for exchange of kidneys is one of the key successful applications in market design, artificial intelligence, and operations research. Potent immunosuppressant drugs suppress the body's ability to reject a transplanted organ up to…

Computer Science and Game Theory · Computer Science 2021-03-04 Haris Aziz , Agnes Cseh , John P. Dickerson , Duncan C. McElfresh

A kidney exchange program, also called a kidney paired donation program, can be viewed as a repeated, dynamic trading and allocation mechanism. This suggests that a dynamic algorithm for transplant exchange selection may have superior…

Optimization and Control · Mathematics 2023-09-26 Margarida Carvalho , Alison Caulfield , Yi Lin , Adrian Vetta

The efficient and fair allocation of limited resources is a classical problem in economics and computer science. In kidney exchanges, a central market maker allocates living kidney donors to patients in need of an organ. Patients and donors…

Artificial Intelligence · Computer Science 2020-05-21 Rachel Freedman , Jana Schaich Borg , Walter Sinnott-Armstrong , John P. Dickerson , Vincent Conitzer
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