Heads Up Game Theory exercise

[jay_shark]

There are two players in a game . Hero posts the sb and villain posts the bb . There are only two choices for this game . You may either raise 3X the bb ,or fold .

The object of the game is to select a card from a deck with numbers 1,2,3,...100 and raise if you think your number is the highest . Your opponent can either call you or fold . Since there is only one deck , your opponent's card must be different in rank than yours .

What numbers should hero raise with ?
What numbers should your opponent call you down with ??
What is your bluffing frequency ?