Question

question 10
1 pts
table 17-2
policy tom cotton angus king patty murray
homeland security 1st 2nd 3rd
education 2nd 3rd 1st
medical research 3rd 1st 2nd
refer to table 17-2. the table above lists three policy alternatives that the u.s. senate will vote on, along with the ranking of these alternates. the senate must decide which of these alternatives should receive an additional $1 billion of funding, and there is enough money in the federal budget for only one of these alternatives. if a series of votes is taken in which each pair of alternatives is considered (homeland security and education; homeland security and medical research; education and medical research) which of the following will result from these votes?
when the vote is between homeland security and education, the senators will vote for education to receive funding.
the results will illustrate the voting paradox.
the results from the voting will illustrate the median voter theorem.
the senators votes will demonstrate transitivity.

Explanation:

The voting paradox occurs when a series of paired - comparisons lead to an inconsistent or cyclical set of preferences. Here, different pair - wise votes may lead to non - transitive results. For example, in one pair, one policy may be preferred over another, but in a different pair, a third policy may be preferred over the one that was previously preferred, creating a cycle. The median voter theorem is about the tendency for politicians to converge to the preferences of the median voter, which isn't relevant here. Transitivity means if A is preferred to B and B is preferred to C, then A is preferred to C, which may not hold in this case of paired - voting. When comparing homeland security and education, we don't know which will win as it depends on the combined preferences of the three senators. But the overall pattern of votes is likely to show the voting paradox.

Answer:

The results will illustrate the voting paradox.