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In Kidney Exchange Programs (KEPs), each participating patient is registered together with an incompatible donor. Donors without an incompatible patient can also register. Then, KEPs typically maximize overall patient benefit through donor…

Optimization and Control · Mathematics 2025-03-04 William St-Arnaud , Margarida Carvalho , Golnoosh Farnadi

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

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 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

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

To overcome incompatibility issues, kidney patients may swap their donors. In international kidney exchange programmes (IKEPs), countries merge their national patient-donor pools. We consider a recently introduced credit system. In each…

Computer Science and Game Theory · Computer Science 2023-02-24 Márton Benedek , Péter Biró , Daniël Paulusma , Xin Ye

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

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

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

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

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

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

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

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

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

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 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

We consider the problem of implementing an individually rational, asymptotically Pareto optimal allocation in a barter-exchange economy where agents are endowed with goods and have preferences over the goods of others, but may not use money…

Computer Science and Game Theory · Computer Science 2015-02-16 Sampath Kannan , Jamie Morgenstern , Ryan Rogers , Aaron Roth

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