Consider a model of a game given by a tree. In this tree, a player, say Player 3, has an information set with three nodes,x; y and z ; in it. Explain...

Consider a model of a game given by a tree. In this tree, a player, say Player 3, has

an information set with three nodes,x; y and z ; in it. Explain whether each of the following is true or false.

(a) The node x is Player 3's decision node, but y is Player 2's decision node.

(b) Player 3 has three actions at node z and two at node x.

(c) The game is one of imperfect information.

(d) When she is called upon to move, Player 3 cannot distinguish x from y or y from z.