Multi-unit Bilateral Trade
P. Lazos, P. Goldberg, A. Skopalik, M. Gerstgrasser, B. de Keijzer, in: Proceedings of the Thirty-Third AAAI Conference on Artificial Intelligence (AAAI), 2019.
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Conference Paper
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Author
Lazos, Philip;
Goldberg, Paul;
Skopalik, AlexanderLibreCat;
Gerstgrasser, Matthias;
de Keijzer, Bart
Department
Abstract
We characterise the set of dominant strategy incentive compatible (DSIC), strongly budget balanced (SBB), and ex-post individually rational (IR) mechanisms for the multi-unit bilateral trade setting. In such a setting there is a single buyer and a single seller who holds a finite number k of identical items. The mechanism has to decide how many units of the item are transferred from the seller to the buyer and how much money is transferred from the buyer to the seller. We consider two classes of valuation functions for the buyer and seller: Valuations that are increasing in the number of units in possession, and the more specific class of valuations that are increasing and submodular.
Furthermore, we present some approximation results about the performance of certain such mechanisms, in terms of social welfare: For increasing submodular valuation functions, we show the existence of a deterministic 2-approximation mechanism and a randomised e/(1-e) approximation mechanism, matching the best known bounds for the single-item setting.
Publishing Year
Proceedings Title
Proceedings of the Thirty-Third AAAI Conference on Artificial Intelligence (AAAI)
Conference
Thirty-Third AAAI Conference on Artificial Intelligence (AAAI)
Conference Location
Honolulu, Hawaii, USA
Conference Date
2019-01-27 – 2019-02-01
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Cite this
Lazos P, Goldberg P, Skopalik A, Gerstgrasser M, de Keijzer B. Multi-unit Bilateral Trade. In: Proceedings of the Thirty-Third AAAI Conference on Artificial Intelligence (AAAI). ; 2019. doi:10.1609/aaai.v33i01.33011973
Lazos, P., Goldberg, P., Skopalik, A., Gerstgrasser, M., & de Keijzer, B. (2019). Multi-unit Bilateral Trade. Proceedings of the Thirty-Third AAAI Conference on Artificial Intelligence (AAAI). Thirty-Third AAAI Conference on Artificial Intelligence (AAAI), Honolulu, Hawaii, USA. https://doi.org/10.1609/aaai.v33i01.33011973
@inproceedings{Lazos_Goldberg_Skopalik_Gerstgrasser_de Keijzer_2019, title={ Multi-unit Bilateral Trade}, DOI={10.1609/aaai.v33i01.33011973}, booktitle={Proceedings of the Thirty-Third AAAI Conference on Artificial Intelligence (AAAI)}, author={Lazos, Philip and Goldberg, Paul and Skopalik, Alexander and Gerstgrasser, Matthias and de Keijzer, Bart}, year={2019} }
Lazos, Philip, Paul Goldberg, Alexander Skopalik, Matthias Gerstgrasser, and Bart de Keijzer. “ Multi-Unit Bilateral Trade.” In Proceedings of the Thirty-Third AAAI Conference on Artificial Intelligence (AAAI), 2019. https://doi.org/10.1609/aaai.v33i01.33011973.
P. Lazos, P. Goldberg, A. Skopalik, M. Gerstgrasser, and B. de Keijzer, “ Multi-unit Bilateral Trade,” presented at the Thirty-Third AAAI Conference on Artificial Intelligence (AAAI), Honolulu, Hawaii, USA, 2019, doi: 10.1609/aaai.v33i01.33011973.
Lazos, Philip, et al. “ Multi-Unit Bilateral Trade.” Proceedings of the Thirty-Third AAAI Conference on Artificial Intelligence (AAAI), 2019, doi:10.1609/aaai.v33i01.33011973.
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