19.10 Vote trading Suppose there are three individuals in society trying to rank three social states (A, B, and C). For each of the methods of social choice indicated, develop an example to show how the resulting social ranking of A, B, and C will be intransitive (as in the paradox of voting) or indeterminate.

a. Majority rule without vote trading.

b. Majority rule with vote trading.

c. Point voting where each voter can give 1, 2, or 3 points to each alternative and the alternative with the highest point total is selected.