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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

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

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

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

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

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

Kidney exchange programs (KEPs) form an innovative approach to increasing the donor pool through allowing the participation of renal patients together with a willing but incompatible donor. The aim of a KEP is to identify groups of…

Computer Science and Game Theory · Computer Science 2022-06-24 Danny Blom , Bart Smeulders , Frits C. R. Spieksma

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

We study a fair division problem with indivisible items, namely the computation of maximin share allocations. Given a set of $n$ players, the maximin share of a single player is the best she can guarantee to herself, if she would partition…

Computer Science and Game Theory · Computer Science 2016-05-16 Georgios Amanatidis , Georgios Birmpas , Evangelos Markakis

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

The kidney exchange problem (KEP) seeks to find possible exchanges among pairs of patients and their incompatible kidney donors while meeting specific optimization criteria such as maximizing the overall number of possible transplants.…

Cryptography and Security · Computer Science 2024-02-02 Malte Breuer , Ulrike Meyer , Susanne Wetzel

We study the mechanism design problem of allocating a set of indivisible items without monetary transfers. Despite the vast literature on this very standard model, it still remains unclear how do truthful mechanisms look like. We focus on…

Computer Science and Game Theory · Computer Science 2017-05-31 Georgios Amanatidis , Georgios Birmpas , George Christodoulou , Evangelos Markakis

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

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

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 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

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

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

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

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