$\backslash$table$[[,$Ivy,Jasmine,Rose$],[$Subsidies for education,$2$nd$,3$rd$,1$st$],[$Research on Alzheimer's,$3$rd$,1$st$,2$nd$],[$Increased border security,$1$st$,2$nd$,3$rd$]]$

Suppose $$1$ billion is available in the budget and Congress is considering allocating the funds to one of the following three alternatives: $1)$ Subsidies for education, $2)$ Research on Alzheimer's or $3)$ Increased border security. Table $18-1$ shows three voters' rankings of the alternatives.

Refer to Table $18-1.$ Suppose a series of votes are taken in which each pair of alternatives is considered in turn. The first pair considered is between subsidies for education and research on Alzheimer's. The second pair considered is between Alzheimer's research and increased border security. The third pair considered is between education subsidies and increased border security. In this case, the collective preferences of the voters

turn out not to be transitive but will yield a consistent outcome.

turn out to be transitive and will yield a consistent outcome.

turn out not to be transitive and will not result in a consistent outcome.

turn out to be transitive but will not result in a consistent outcome,