Journal of Applied Mathematics and Decision Sciences
Volume 2006 (2006), Article ID 74864, 7 pages
doi:10.1155/JAMDS/2006/74864
Martingale measures in the market with restricted information
1Department of Mathematics, Hunan University of Science and Engineering, Yongzhou, Hunan 425006, China
2School of Finance and Banking, Nanjing University of Finance and Economics, Nanjing, Jiangsu 210046, China
3Department of Mathematics, Henan Normal University, Xinxiang, Henan 453008, China
Received 7 May 2005; Accepted 31 January 2006
Copyright © 2006 Yang Jianqi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
This paper considers the problem of the market with restricted
information. By constructing a restricted information market
model, the explicit relation of arbitrage and the minimal
martingale measure between two different information markets
are discussed. Also a link among all equivalent
martingale measures under restricted information market is given.