Question: Each of two players must choose a number between 1 and 5. If a player's choice = opposing player's choice +1, she loses $2; if a player's choice ≥ opposing player's choice +2, she wins $1. If both players choose the same number the game is a draw.
(a) What is the game matrix?
(b) Find v+ and v- and determine whether a saddle point exists in pure strategies, and if so, find it.