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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

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 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

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

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 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

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

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

AI algorithms increasingly make decisions that impact entire groups of humans. Since humans tend to hold varying and even conflicting preferences, AI algorithms responsible for making decisions on behalf of such groups encounter the problem…

Artificial Intelligence · Computer Science 2020-06-18 Rachel Freedman

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

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

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

Kidney exchange is a barter market where patients trade willing but medically incompatible donors. These trades occur via cycles, where each patient-donor pair both gives and receives a kidney, and via chains, which begin with an altruistic…

Data Structures and Algorithms · Computer Science 2016-06-02 Benjamin Plaut , John P. Dickerson , Tuomas Sandholm

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

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

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

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

Incompatibility between patient and donor is a major barrier in kidney transplantation (KT). The increasing shortage of kidney donors has driven the development of desensitization techniques to overcome this immunological challenge.…

Systems and Control · Electrical Eng. & Systems 2025-04-29 Xingyu Ren , Michael C. Fu , Steven I. Marcus

The study of matching theory has gained importance recently with applications in Kidney Exchange, House Allocation, School Choice etc. The general theme of these problems is to allocate goods in a fair manner amongst participating agents.…

Computer Science and Game Theory · Computer Science 2020-02-10 Shyam Chandramouli , Jay Sethuraman

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