Consider the Calendar Game!
The rules are as follows:
• The game starts on January 1st.
• Each player must take turns to choose either any later day within the same month or the same day in a later month. (Except you are never allowed to say a non-existent date such as February 30, November 31, etc.)
• The winner is the player who ends up on December 31st.
Find the best strategy for this game and describe how and why it works.