VARIABLE QUANTITY MARKET CLEARING ALGORITHMS

Jarrod Trevathan, Wayne Read

2006

Abstract

Market clearing is the process of matching buy and sell bids in securities markets. The allocative efficiency of such algorithms is important, as the Auctioneer is typically paid a commission on the number of bids matched and the volume of quantity traded. Previous algorithms have concentrated on price issues. This paper presents several market clearing algorithms that focus solely on allocating quantity among matching buy and sell bids. The goal is to maximise the number of bids matched, while at the same time minimise the amount of unmatched quantity. The algorithms attempt to avoid situations resulting in unmarketable quantities (i.e., quantities too small to sell). Algorithmic performance is tested using simulated data designed to emulate the Australian Stock Exchange (ASX) and other world stock markets. Our results show that it is difficult to avoid partial matchings as the complexity of doing so is NP-complete. The optimal offline algorithm for partial quantity matching is used as a benchmark to compare online matching strategies. We present three algorithms that outperform the ASX’s strategy by increasing the number of bids matched, the amount of quantity matched, and the number of bids fully matched.

References

  1. Bagchi, A., Chaudhary, A., Garg, R., Goodrich, M. and Kumar, V. (2001). Seller-focused Algorithms for Online Auctioning, in Proceedings of WADS 2001, 135-147.
  2. Economides, N. and Schwartz, R. (1995). Electronic Call Market Trading, Journal of Portfolio Management, vol. 21, no. 3, 10-18.
  3. Kao, M. and Tate, S. (1999). Online Difference Maximisation, SIAM Journal of Discrete Mathematics, vol. 12, no. 1, 78-90.
  4. El-Yaniv, R., Fiat, A., Karp, R. and Turpin, G. (1992). Competitive Analysis of Financial Games, in Proceedings of the 33rd Symposium on Foundations in Computer Science, 327-333.
  5. Lavi, R. and Nisan, N. (2000). Competitive Analysis of Incentive Compatible Online Auctions, in Proceedings of the 2nd ACM Conference on Electronic Commerce, 233-241.
  6. Sandholm, T. and Suri, S. (2001). Market Clearability, in Proceedings of the Seventeenth International Joint Conference on Artificial Intelligence (IJCAI), 1145- 1151.
  7. Sandholm, T., Blum, A. and Zinkevich, M. (2002). Online Algorithms for Market Clearing, in Proceedings of the 13th SIAM Symposium on Discrete Algorithms (SODA), 971-980.
  8. Trevathan, J. and Read, W. (2006). RAS: a system for supporting research in online auctions, ACM Crossroads, ed. 12.4, 23-30.
  9. Wellman, M. and Wurman, P. (1999). A Parameterization of the Auction Design Space, in Proceedings of the Second International Conference on Autonomous Agents (AGENTS), 301-308.
Download


Paper Citation


in Harvard Style

Trevathan J. and Read W. (2006). VARIABLE QUANTITY MARKET CLEARING ALGORITHMS . In Proceedings of the International Conference on e-Business - Volume 1: ICE-B, (ICETE 2006) ISBN 978-972-8865-62-7, pages 126-133. DOI: 10.5220/0001426901260133


in Bibtex Style

@conference{ice-b06,
author={Jarrod Trevathan and Wayne Read},
title={VARIABLE QUANTITY MARKET CLEARING ALGORITHMS},
booktitle={Proceedings of the International Conference on e-Business - Volume 1: ICE-B, (ICETE 2006)},
year={2006},
pages={126-133},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001426901260133},
isbn={978-972-8865-62-7},
}


in EndNote Style

TY - CONF
JO - Proceedings of the International Conference on e-Business - Volume 1: ICE-B, (ICETE 2006)
TI - VARIABLE QUANTITY MARKET CLEARING ALGORITHMS
SN - 978-972-8865-62-7
AU - Trevathan J.
AU - Read W.
PY - 2006
SP - 126
EP - 133
DO - 10.5220/0001426901260133