Journal article
Complexity of stability in trading networks
- Abstract:
- Efficient computability is an important property of solution concepts. We consider the computational complexity of finding and verifying various solution concepts in trading networks—multi-sided matching markets with bilateral contracts and without transferable utility—under the assumption of full substitutability of agents’ preferences. It is known that outcomes that satisfy trail stability always exist and can be found in linear time. However, we show that the existence of stable outcomes—immune to deviations by arbitrary sets of agents—is an 𝖭𝖯-hard problem in trading networks. We also show that even verifying whether a given outcome is stable is 𝖭𝖯-hard in trading networks.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 1.5MB, Terms of use)
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- Publisher copy:
- 10.1007/s00182-022-00833-0
Authors
- Publisher:
- Springer Nature
- Journal:
- International Journal of Game Theory More from this journal
- Volume:
- 52
- Issue:
- 3
- Pages:
- 629-648
- Publication date:
- 2023-04-08
- Acceptance date:
- 2022-09-19
- DOI:
- EISSN:
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1432-1270
- ISSN:
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0020-7276
- Language:
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English
- Keywords:
- Pubs id:
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1343460
- Local pid:
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pubs:1343460
- Deposit date:
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2023-07-25
Terms of use
- Copyright holder:
- Fleiner et al.
- Copyright date:
- 2023
- Rights statement:
- © The Author(s) 2023. Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
- Licence:
- CC Attribution (CC BY)
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