Consider Hong, who is endowed with a number of tokens. The tokens can be allocated between Hong and another person. Each unit of Hong's own consumption, x1, can be purchased for p1 tokens. Each unit of the other person's consumption, x2, can be purchased for p2 tokens. Consider each of the following sets of choices. Determine if each violates WARP, SARP, or GARP.
a. When endowed with 20 tokens, with p1 = 1 and p2 = 1 Hong chooses x1 = 17, x2 = 2.05. When endowed with 30 tokens, with p1 = 0.5, p2 = 10.5, Hong chooses x1 = 18, x2 = 2. When endowed with 100 tokens, with p1 = 1.72, p2 = 2.9, Hong chooses x1 = 20, x2 = 1.9.
b. When endowed with 20 tokens, with p1 = 1, and p2 = 1 Hong chooses x1 = 18, x2 = 2. When endowed with 30 tokens, with p1 = 0.5, p2 = 10.5, Hong chooses x1 = 17, x2 = 2.05.
c. When endowed with 20 tokens, with p1 = 1 and p2 = 1 Hong chooses x1 = 17, x2 = 3. When endowed with 30 tokens, with p1 = 1, p2 = 2, Hong chooses x1 = 10, x2 = 10. When endowed with 100 tokens, with p1 = 5, p2 = 5, Hong chooses x1 = 18, x2 = 2.
d. When endowed with 20 tokens, with p1 = 1, and p2 = 1 Hong chooses x1 = 17, x2 = 3. When endowed with 30 tokens, with p1 = 1, p1 = 2, Hong chooses x1 = 20, x2 = 5. When endowed with 100 tokens, with p1 = 10, p2 = 5, Hong chooses x1 = 5, x2 = 10.