[go: up one dir, main page]
More Web Proxy on the site http://driver.im/ skip to main content
article

Graphical model market maker for combinatorial prediction markets

Published: 01 September 2018 Publication History

Abstract

We describe algorithms for use by prediction markets in forming a crowd consensus joint probability distribution over thousands of related events. Equivalently, we describe market mechanisms to efficiently crowdsource both structure and parameters of a Bayesian network. Prediction markets are among the most accurate methods to combine forecasts; forecasters form a consensus probability distribution by trading contingent securities. A combinatorial prediction market forms a consensus joint distribution over many related events by allowing conditional trades or trades on Boolean combinations of events. Explicitly representing the joint distribution is infeasible, but standard inference algorithms for graphical probability models render it tractable for large numbers of base events. We show how to adapt these algorithms to compute expected assets conditional on a prospective trade, and to find the conditional state where a trader has minimum assets, allowing full asset reuse. We compare the performance of three algorithms: the straightforward algorithm from the DAGGRE (Decomposition-Based Aggregation) prediction market for geopolitical events, the simple block-merge model from the SciCast market for science and technology forecasting, and a more sophisticated algorithm we developed for future markets.

References

[1]
Abernethy, J., Chen, Y., & Vaughan, J. W. (2013). Efficient market making via convex optimization, and a connection to online learning. ACM Transactions on Economics and Computation, 1(2), 12:1-12:39.
[2]
Arrow, K., Forsythe, R., Gorham, M., Hahn, R., Hanson, R., Ledyard, J. O.,... Zitzewitz, E. (2008, May). The promise of prediction markets. Science, 320(5878), 877-878.
[3]
Barbu, A., & Lay, N. (2012). An introduction to artificial prediction markets for classification. Journal of Machine Learning Research, 13, 2177-2204.
[4]
Chen, Y., Dimitrov, S., Sami, R., Reeves, D., Pennock, D., Hanson, R.,... Gonen, R. (2010). Gaming prediction markets: Equilibrium strategies with a market maker. Algorithmica, 58(4), 930-969.
[5]
Chen, Y., Fortnow, L., Lambert, N., Pennock, D. M., & Wortman, J. (2008). Complexity of combinatorial market makers. In Proceedings of the 9th ACM conference on electronic commerce (EC)(pp. 190-199).
[6]
Chen, Y., Goel, S., & Pennock, D. M. (2008). Pricing combinatorial markets for tournaments. In Proceedings of the 40th annual ACM symposium on theory of computing (STOC-2008)(pp. 305-314).
[7]
Cooper, G. F. (1990). The computational complexity of probabilistic inference using Bayesian belief networks. Artificial Intelligence, 42, 393-405.
[8]
Dawid, A. P. (1992). Applications of a general propagation algorithm for probabilistic expert systems. Statistics and Computing, 2, 25-36.
[9]
Dudík, M., Lahaie, S., & Pennock, D. M. (2012). A tractable combinatorial market maker using constraint generation. In Proceedings of the 13th acm conference on electronic commerce(pp. 459-476). New York, NY, USA: ACM.
[10]
Dudík, M., Lahaie, S., Rothschild, D., & Pennock, D. (2013). A combinatorial prediction market for the U.S. elections. In Proceedings of the fourteenth acm conference on electronic commerce(pp. 341-358). New York, NY, USA: ACM.
[11]
Hanson, R. (2003). Combinatorial information market design. Information Systems Frontiers, 5(1), 107-119.
[12]
Hanson, R. (2007). Logarithmic market scoring rules for modular combinatorial information aggregation. Journal of Prediction Markets, 1(1), 3-15.
[13]
Horn, C. F., Ivens, B. S., Ohneberg, M., & Brem, A. (2014, September). Prediction markets: A literature review 2014. The Journal of Prediction Markets, 8(2), 89-126.
[14]
Jeffrey, R. C. (1990). The logic of decision(2nd ed.). Chicago: University Of Chicago Press.
[15]
Koski, T., & Noble, J. (2009). Bayesian networks: An introduction(1st ed.). Wiley.
[16]
Langevin, S., & Valtorta, M. (2008). Performance evaluation of algorithms for soft evidential update in Bayesian networks: First results. In Proceedings of the second international conference on scalable uncertainty management (SUM-08)(pp. 294-297).
[17]
Lauritzen, S. L., & Spiegelhalter, D. J. (1988). Local computations with probabilities on graphical structures and their applications to expert systems. Journal of the Royal Statistical Society, Series B, 50, 157-224.
[18]
Li, X., & Vaughan, J. W. (2013). An axiomatic characterization of adaptive-liquidity market makers. In Proceedings of the Fourteenth ACM Conference on Electronic Commerce (pp. 657-674). New York, NY, USA: ACM.
[19]
Malinowski, E. (2010, March). Predictalot brings Wall Street to March Madness. WIRED. (Retrieved 2018/09/25 from https://www.wired.com/2010/03/predictalot-brings-wall-street-to-march-madness/).
[20]
Pearl, J. (1990). Jeffrey's rule, passage of experience, and neo-Bayesianism. In Knowledge representation and defeasible reasoning(pp. 245-265). Kluwer Academic Publishers.
[21]
Pennock, D., & Xia, L. (2011). Price updating in combinatorial prediction markets with Bayesian networks. In Proceedings of the twenty-seventh conference annual conference on uncertainty in artificial intelligence (UAI-11)(pp. 581-588). Corvallis, Oregon: AUAI Press.
[22]
Powell, W. A., Hanson, R., Laskey, K. B., & Twardy, C. (2013). Combinatorial prediction markets: An experimental study. In W. Liu, V. Subrahmanian, & J. Wijsen (Eds.), Scalable uncertainty management(Vol. 8078, pp. 283-296). Berlin Heidelberg: Springer.
[23]
Savage, L. J. (1971). Elicitation of personal probabilities and expectations. Journal of the American Statistical Association, 66(336), pp. 783-801.
[24]
Surowiecki, J. (2005). The wisdom of crowds(Reprint edition ed.). New York: Anchor.
[25]
Tetlock, P. E., Mellers, B. A., Rohrbaugh, N., & Chen, E. (2014, August). Forecasting Tournaments: Tools for Increasing Transparency and Improving the Quality of Debate. Current Directions in Psychological Science, 23(4), 290-295.
[26]
Twardy, C., Hanson, R., Laskey, K., Levitt, T. S., Goldfedder, B., Siegel, A.,... Maxwell, D. (2014). SciCast: collective forecasting of innovation. In Proceedings of the 2014 collective intelligence conference. Cambridge, MA, USA.
[27]
Tziralis, G., & Tatsiopoulos, I. (2007). Prediction markets: An extended literature review. Journal of Prediction Markets, 1(1), 75-91.
[28]
Valtorta, M., Kim, Y.-G., & Vomlel, J. (2002). Soft evidential update for probabilistic multiagent systems. International Journal of Approximate Reasoning, 29(1), 71-106.
[29]
Wolfers, J., & Zitzewitz, E. (2006, March). Prediction markets in theory and practice(Working Paper No. 12083). National Bureau of Economic Research.

Cited By

View all
  • (2021)Log-time Prediction Markets for Interval SecuritiesProceedings of the 20th International Conference on Autonomous Agents and MultiAgent Systems10.5555/3463952.3464011(465-473)Online publication date: 3-May-2021
  • (2021)Timing is moneyProceedings of the Second ACM International Conference on AI in Finance10.1145/3490354.3494406(1-9)Online publication date: 3-Nov-2021
  • (2021)Designing a Combinatorial Financial Options MarketProceedings of the 22nd ACM Conference on Economics and Computation10.1145/3465456.3467634(864-883)Online publication date: 18-Jul-2021

Recommendations

Comments

Please enable JavaScript to view thecomments powered by Disqus.

Information & Contributors

Information

Published In

cover image Journal of Artificial Intelligence Research
Journal of Artificial Intelligence Research  Volume 63, Issue 1
September 2018
1012 pages

Publisher

AI Access Foundation

El Segundo, CA, United States

Publication History

Published: 01 September 2018
Published in JAIR Volume 63, Issue 1

Qualifiers

  • Article

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)0
  • Downloads (Last 6 weeks)0
Reflects downloads up to 17 Dec 2024

Other Metrics

Citations

Cited By

View all
  • (2021)Log-time Prediction Markets for Interval SecuritiesProceedings of the 20th International Conference on Autonomous Agents and MultiAgent Systems10.5555/3463952.3464011(465-473)Online publication date: 3-May-2021
  • (2021)Timing is moneyProceedings of the Second ACM International Conference on AI in Finance10.1145/3490354.3494406(1-9)Online publication date: 3-Nov-2021
  • (2021)Designing a Combinatorial Financial Options MarketProceedings of the 22nd ACM Conference on Economics and Computation10.1145/3465456.3467634(864-883)Online publication date: 18-Jul-2021

View Options

View options

Media

Figures

Other

Tables

Share

Share

Share this Publication link

Share on social media