＜追加＞

（これはピエロのPDF紹介でGJ！（＾＾ ）
https://pdfs.semanticscholar.org/8514/a9f8b30546ea81739b9409132673276713d3.pdf
The Mathematics of Coordinated Inference: A Study of Generalized Hat Problems (Developments in Mathematics) 2013 edition
by Hardin, Christopher S., Taylor, Alan D. (2013) Hardcover
Springer Verlag

上記の引用文献で
http://www.jointmathematicsmeetings.org/proc/2009-137-09/S0002-9939-09-09877-3/S0002-9939-09-09877-3.pdf
[HT09] Christopher S. Hardin and Alan D. Taylor. Limit-like predictability for discontinuous functions. Proceedings of the AMS, 137:3123-3128, 2009.