Question $2$ List the player, action, payoffs, timing and information of the following game. Draw the normal form of the game.

a$.$ Both managers of the King$$s Head and the Queen$$s Head are simultaneously considering introducing a special offer to their customers by cutting the price of their premium beer. Each chooses between making the special offer or not. If one of them makes the offer but the other does not the manager who makes the offer will capture a revenue of $18000$ and leave the other pub zero. But if they both make the offer; they will share the market by making a revenue of $9000$ each. If neither pub makes the discounted offer the revenue of the Queen$$s Head is $7000$ in a week and the revenue to the Kings Head is $8000.$

b$.$ Frank and Douglas are playing the Rock$-$Paper$-$Scissor game. Each time, one wins the game will get $$1$ from the other. If neither wins, they both get zero.