A committee with three members (1,2,3) has to choose a new member of a club from a set of four candidates (a,b,c,d). Each member of the committee has veto power which is used in a successive way, starting with member 1 and nishing with member 3. Each member of the committee has to veto one and only one of the candidates that have not been vetoed yet. Draw the extensive form of the game.
How manystrategies does member 1 have?
(a) 3
(b) 4
(c) 12
(d) None of the above.
How many strategies does member 2 have?
(a) 3
(b) 81
(c) 243
(d) None of the above.
How many strategies does member 3 have?
(a) 2
(b) 12
(c) 4096
(d) None of the above.