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Kidney Exchange over the Blood Group Barrier

Andersson, Tommy LU and Kratz, Jörgen LU (2016) In Working Papers
Abstract
This paper investigates a pairwise kidney exchange program that includes patient-donor pairs in which the patients can receive a kidney across the blood group barrier from their own donors. Patients in such pairs gain strictly by an exchange if they are matched to a fully compatible donor. We study the set of priority matchings where the number of patients matched to fully compatible donors is maximized among all priority matchings and where all matched patients that can receive a kidney across the blood group barrier from their own donors are matched to fully compatible donors. The main result demonstrates that matchings in this set can be identified by solving an appropriately defined maximum weight matching problem. It is also... (More)
This paper investigates a pairwise kidney exchange program that includes patient-donor pairs in which the patients can receive a kidney across the blood group barrier from their own donors. Patients in such pairs gain strictly by an exchange if they are matched to a fully compatible donor. We study the set of priority matchings where the number of patients matched to fully compatible donors is maximized among all priority matchings and where all matched patients that can receive a kidney across the blood group barrier from their own donors are matched to fully compatible donors. The main result demonstrates that matchings in this set can be identified by solving an appropriately defined maximum weight matching problem. It is also demonstrated that the inclusion of patients that can receive a kidney across the blood group barrier from their own donors will not reduce the number of transplants for patients with incompatible donors, as all patients involved in an exchange before the inclusion are still involved in an exchange after the inclusion. (Less)
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Working paper/Preprint
publication status
published
subject
keywords
market design, pairwise kidney exchange, blood group incompatibility, priority matchings, half-compatibility priority matchings, C78, D02, D63, D78
in
Working Papers
issue
2015:11
pages
25 pages
publisher
Department of Economics, Lund University
language
English
LU publication?
yes
id
d5052cc6-e368-4ece-9b6a-efdc63c3b06a
alternative location
http://swopec.hhs.se/lunewp/abs/lunewp2016_011.htm
date added to LUP
2016-06-23 10:26:05
date last changed
2020-02-26 09:01:05
@misc{d5052cc6-e368-4ece-9b6a-efdc63c3b06a,
  abstract     = {{This paper investigates a pairwise kidney exchange program that includes patient-donor pairs in which the patients can receive a kidney across the blood group barrier from their own donors. Patients in such pairs gain strictly by an exchange if they are matched to a fully compatible donor. We study the set of priority matchings where the number of patients matched to fully compatible donors is maximized among all priority matchings and where all matched patients that can receive a kidney across the blood group barrier from their own donors are matched to fully compatible donors. The main result demonstrates that matchings in this set can be identified by solving an appropriately defined maximum weight matching problem. It is also demonstrated that the inclusion of patients that can receive a kidney across the blood group barrier from their own donors will not reduce the number of transplants for patients with incompatible donors, as all patients involved in an exchange before the inclusion are still involved in an exchange after the inclusion.}},
  author       = {{Andersson, Tommy and Kratz, Jörgen}},
  keywords     = {{market design; pairwise kidney exchange; blood group incompatibility; priority matchings; half-compatibility priority matchings; C78; D02; D63; D78}},
  language     = {{eng}},
  note         = {{Working Paper}},
  number       = {{2015:11}},
  publisher    = {{Department of Economics, Lund University}},
  series       = {{Working Papers}},
  title        = {{Kidney Exchange over the Blood Group Barrier}},
  url          = {{http://swopec.hhs.se/lunewp/abs/lunewp2016_011.htm}},
  year         = {{2016}},
}