Question

Mike and Jake are basketball players who sometimes flop (that is, intentionally fall or feign an injury in order to cause a foul on another player). It is better for each of them if both play fairly and don't flop then when both flop. But each player is better off flopping than not flopping. Their payoffs are given below.

	Jake
Mike		Flop	Not Flop
	Flop	(3, 3)	(4, 1)
	Not Flop	(1, 4)	(1, 1)

For instance, if Mike flops but Jake doesn't flop, Mike gets a payoff of 4 and Jake gets a payoff of 1.

Question 11 (0.5 points)

This game is an example of

Question 11 options:

	A sequential game.
	A simultaneous game.
	A game in pure strategies.
	A game in mixed strategies.

Question 12 (0.5 points)

What is Mike's best response if Jake flops?

Question 12 options:

	Flop.
	Don't flop.
	He is indifferent between flopping and not flopping.
	There is not enough information to determine his best response.

Question 13 (0.5 points)

What is Mike's best response if Jake doesn't flop?

Question 13 options:

	Flop.
	Don't flop.
	He is indifferent between flopping and not flopping.
	There is not enough information to determine his best response.

Question 14 (0.5 points)

What is Mike's dominant strategy?

Question 14 options:

	Mike doesn't have a dominant strategy.
	Flop.
	Don't flop.
	There is not enough information to determine his dominant strategy.

Question 15 (1 point)

What is the pure strategy Nash equilibrium of this game?

Question 15 options:

	Both players flop.
	Neither player flops.
	Mike flops but Jake doesn't.
	Jake flops but Mike doesn't.

Answer 1

Answer 11. A Simultaneous game

reason- A Simultaneous move game is depicted in normal /table form where both players can choose their strategies simultaneously.

Answer 12. Flop

reason- When Jake flops, mike should also flop because 3>1.

Answer 13.

Flop

reason- When Jake doesn't flops, mike should flop because 4>1.

Answer 14.Flop

reason- Irrespective of what Jake chooses, Mike always chooses Flop. So flop is the Dominant strategy of Mike.

Answer 15. Both players flop

reason- Both players have a dominant strategy to choose Flop. So the Nash Equilibrium is for both players to Flop.