Willard is a salesman with an expense account for travel. He can steal (S) from the account by…

Willard is a salesman with an expense account for travel. He can steal (S) from the account by claiming false expenses or be honest (H) and accurately claim the expenses incurred. Willard’s boss is Fillmore. Fillmore can check (C) into the expenses claimed or trust (T) that Willard is honest. If Willard cheats on his expenses he benefits by the amount b assuming he isn’t caught by Fillmore. If Fillmore doesn’t check then Willard gets away with cheating. If Willard is caught cheating he incurs costs p which may include getting fired and paying back the amount he stole. Since Willard is a clever thief, we let 0 0. (a) Find the game bimatrix.

(b) Determine conditions on the parameters so that there is one mixed Nash equilibrium and find it