can I kill a mountain lion in the 2013 season if my tag says 2014

Answer: 
The answer is "NO" you may not. You must have a 2014 mt. lion tag to hunt them in 2014.  The 2014 tag is valid from January 1, 2014 through the date of harvest or December 31, 2014 whichever comes first.
Answered on: 
Friday, January 3, 2014 - 8:09 AM MST