Paper 2024/1657

Securely Computing One-Sided Matching Markets

James Hsin-Yu Chiang, Aarhus University
Ivan Damgård, Aarhus University
Claudio Orlandi, Aarhus University
Mahak Pancholi, IMDEA Software
Mark Simkin
Abstract

Top trading cycles (TTC) is a famous algorithm for trading indivisible goods between a set of agents such that all agents are as happy as possible about the outcome. In this paper, we present a protocol for executing TTC in a privacy preserving way. To the best of our knowledge, it is the first of its kind. As a technical contribution of independent interest, we suggest a new algorithm for determining all nodes in a functional graph that are on a cycle. The algorithm is particularly well suited for secure implementation in that it requires no branching and no random memory access. Finally, we report on a prototype implementation of the protocol based on somewhat homomorphic encryption.

Note: Full version of FC'25 publication.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
Keywords
secure multiparty computationfully homomorphic encryptiontop trading cycles
Contact author(s)
jachiang @ cs au dk
ivan @ cs au dk
orlandi @ cs au dk
mahak pancholi @ imdea org
mark @ univariate org
History
2025-06-27: revised
2024-10-14: received
See all versions
Short URL
https://ia.cr/2024/1657
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2024/1657,
      author = {James Hsin-Yu Chiang and Ivan Damgård and Claudio Orlandi and Mahak Pancholi and Mark Simkin},
      title = {Securely Computing One-Sided Matching Markets},
      howpublished = {Cryptology {ePrint} Archive, Paper 2024/1657},
      year = {2024},
      url = {https://eprint.iacr.org/2024/1657}
}
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