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  An Improved Combinatorial Polynomial Algorithm for the Linear Arrow-Debreu Market

Duan, R., Garg, J., & Mehlhorn, K. (2016). An Improved Combinatorial Polynomial Algorithm for the Linear Arrow-Debreu Market. In R. Krauthgamer (Ed.), Proceedings of the Twenty-Seventh Annual ACM-SIAM Symposium on Discrete Algorithms (pp. 90-106). Philadelphia, PA: SIAM. doi:10.1137/1.9781611974331.ch7.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0028-81DD-9 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-002C-8903-7
Genre: Conference Paper
Latex : An Improved Combinatorial Polynomial Algorithm for the Linear {Arrow}-{Debreu} Market

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 Creators:
Duan, Ran1, Author           
Garg, Jugal1, Author           
Mehlhorn, Kurt1, Author           
Affiliations:
1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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 Abstract: We present an improved combinatorial algorithm for the computation of equilibrium prices in the linear Arrow-Debreu model. For a market with $n$ agents and integral utilities bounded by $U$, the algorithm runs in $O(n^7 \log^3 (nU))$ time. This improves upon the previously best algorithm of Ye by a factor of $\tOmega(n)$. The algorithm refines the algorithm described by Duan and Mehlhorn and improves it by a factor of $\tOmega(n^3)$. The improvement comes from a better understanding of the iterative price adjustment process, the improved balanced flow computation for nondegenerate instances, and a novel perturbation technique for achieving nondegeneracy.

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Language(s): eng - English
 Dates: 2015-09-1520162016
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: BibTex Citekey: DuanSODA2016
DOI: 10.1137/1.9781611974331.ch7
 Degree: -

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Title: Twenty-Seventh Annual ACM-SIAM Symposium on Discrete Algorithms
Place of Event: Arlington, VA, USA
Start-/End Date: 2016-01-10 - 2016-01-12

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Title: Proceedings of the Twenty-Seventh Annual ACM-SIAM Symposium on Discrete Algorithms
  Abbreviation : SODA 2016
Source Genre: Proceedings
 Creator(s):
Krauthgamer, Robert1, Editor
Affiliations:
1 External Organizations, ou_persistent22            
Publ. Info: Philadelphia, PA : SIAM
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 90 - 106 Identifier: ISBN: 978-1-61197-433-1