How many total strategies are there for each player

How many total strategies are there for each player - what

1) i) How many total strategies are there for each player? ii) Please list all of these strategies.

2) We have provided some information on preferences A, B, C, and D. (i) Are the preferences in each case rational? (ii) If not, what property do they violate?

A > C

B > C

C > D

B > D

A > B

B > C

A ~ C

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