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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

Motivated by kidney exchange, we study a stochastic cycle and chain packing problem, where we aim to identify structures in a directed graph to maximize the expectation of matched edge weights. All edges are subject to failure, and the…

Artificial Intelligence · Computer Science 2020-07-08 Hoda Bidkhori , John P Dickerson , Duncan C McElfresh , Ke Ren

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

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

This paper presents a comprehensive review of the last two decades of research on Kidney Exchange Programs (KEPs), systematically categorizing and classifying key contributions to provide readers with a structured understanding of…

Artificial Intelligence · Computer Science 2025-02-13 Shayan Sharifi

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

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 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

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

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

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

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

We introduce the Stackelberg kidney exchange problem. In this problem, an agent (e.g. a hospital or a national organization) has control over a number of incompatible patient-donor pairs whose patients are in need of a transplant. The agent…

Computer Science and Game Theory · Computer Science 2020-07-08 Bart Smeulders , Danny Blom , Frits C. R. Spieksma

We propose a way in which Kidney exchange can be feasibly, economically and efficiently implemented in Indian medical space, named as Indian Kidney Exchange Program(IKEP) along with Indian specific influence on compatibility and final…

Computer Science and Game Theory · Computer Science 2022-03-16 Arghya Bandyopadhyay , Sajal Mukhopadhyay

In the query-commit problem we are given a graph where edges have distinct probabilities of existing. It is possible to query the edges of the graph, and if the queried edge exists then its endpoints are irrevocably matched. The goal is to…

Data Structures and Algorithms · Computer Science 2011-10-06 Marco Molinaro , R. Ravi

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

Balancing fairness and efficiency in resource allocation is a classical economic and computational problem. The price of fairness measures the worst-case loss of economic efficiency when using an inefficient but fair allocation rule; for…

Computer Science and Game Theory · Computer Science 2017-09-11 Duncan C. McElfresh , John P. Dickerson

Kidney Exchange Programmes (KEPs) facilitate the exchange of kidneys, and larger pools of recipient-donor pairs tend to yield proportionally more transplants, leading to the proposal of international KEPs (IKEPs). However, as studied by…

Computer Science and Game Theory · Computer Science 2025-06-06 Rachael Colley , David Manlove , Daniel Paulusma , Mengxiao Zhang

The kidney paired donation (KPD) program provides an innovative solution to overcome incompatibility challenges in kidney transplants by matching incompatible donor-patient pairs and facilitating kidney exchanges. To address unequal access…

Methodology · Statistics 2026-01-21 Mingrui Zhang , Xiaowu Dai , Lexin Li

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