What are the pure strategies available for our players

Reference no: EM132207589

Question: Anne and Bill must choose among three alternatives, x, y and z. strictly prefers x to y and y to z (so she also ranks x higher than z). Bill strictly prefers z to y and y to x (so he also ranks z higher than x). The rules by which they decide are the following. Anne moves first and vetoes one alternative (she must express a veto). Bill observes Anne's veto and proceeds to veto one alternative among the remaining two (he must also express a veto).

(a) Model this situation as a dynamic game and write down the game tree. Assign payoffs to Anne and Bill that represent their preferences.

(b) What are the pure strategies available for our players?

(d) Find all the pure strategy NE of this game.

Reference no: EM132207589

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