Wealth and Price Distribution by Diffusive Approximation in a Repeated Prediction Market
The approximate agents' wealth and price invariant densities of a repeated prediction market model is derived using the Fokker-Planck equation of the associated continuous-time jump process. We show that the approximation obtained from the evolution of log-wealth difference can be reliably exploited to compute all the quantities of interest in all the acceptable parameter space. When the risk aversion of the trader is high enough, we are able to derive an explicit closed-form solution for the price distribution which is asymptotically correct.
|Date of creation:||04 Mar 2016|
|Contact details of provider:|| Postal: Piazza dei Martiri della Liberta, 33, 56127 Pisa|
Web page: http://www.lem.sssup.it/
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Scalas, Enrico, 2006. "The application of continuous-time random walks in finance and economics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 362(2), pages 225-239.
- L. C. MacLean & W. T. Ziemba & G. Blazenko, 1992. "Growth Versus Security in Dynamic Investment Analysis," Management Science, INFORMS, vol. 38(11), pages 1562-1585, November.
- Alina Beygelzimer & John Langford & David Pennock, 2012. "Learning Performance of Prediction Markets with Kelly Bettors," Papers 1201.6655, arXiv.org.
- Bottazzi, Giulio & Dindo, Pietro, 2014.
"Evolution and market behavior with endogenous investment rules,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 48(C), pages 121-146.
- Giulio Bottazzi & Pietro Dindo, 2010. "Evolution and market behavior with endogenous investment rules," LEM Papers Series 2010/20, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
- Giulio Bottazzi & Pietro Dindo, 2015. "Drift criteria for persistence of discrete stochastic processes on the line," LEM Papers Series 2015/26, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
- Leonard Maclean & William Ziemba & Yuming Li, 2005. "Time to wealth goals in capital accumulation," Quantitative Finance, Taylor & Francis Journals, vol. 5(4), pages 343-355.
- repec:reg:rpubli:460 is not listed on IDEAS
- Giulio Bottazzi & Daniele Giachini, 2016. "Far from the Madding Crowd: Collective Wisdom in Prediction Markets," LEM Papers Series 2016/14, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy. Full references (including those not matched with items on IDEAS)
When requesting a correction, please mention this item's handle: RePEc:ssa:lemwps:2016/13. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ()
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.