First Author:   Tetsuya Shimokawa School of Management, Tokyo University of Science simokawa@ms.kuki.tus.ac.jp         Second Author: Kazuhiro Miyagawa Graduate School of Economics, Hitotsubashi University em091020@g.hit-u.ac.jp         Third Author: Tadanobu Misawa Graduate School of Science and Engineering, University of Toyama misawa@eng.u-toyama.ac.jp