On most Cycling Caps they use the exact same font as this. It´s quite similar to Egyptienne and Clarendon (Condensed Bold), but I don´t think it´s anyone of them?
Typophile
Fonts on Cycling Hats?
Bold Condensed version of Clarendon or Egyptienne.
Captured from web.archive.org on 17 Oct 2013. view this capture