The Campbell Soup Company is selecting a new spokesperson for its advertisements. The choices are Jennifer Lawrence (L), Bradley Cooper (C), and LeBron James (J). At the annual meeting of its managers, a straw vote is taken to gauge the managers’ initial reaction to the candidates. The results of this straw vote are given in the preference table.

After discussion about the candidates, eight people who had supported Jennifer Lawrence over LeBron James now switch their preferences to LeBron James over Jennifer Lawrence. This switch leads to the following preference table.

(a) Using the plurality with elimination method, which person is selected from the first (or straw) vote? 

(b) Using the plurality with elimination method, which person is selected from the second vote?

(c)  Does this second result violate the monotonicity criterion?

Transcribed Image Text:

Number of Votes 28 24 10 First Second Third CA A Jennifer Lawrence Number of Votes First 24 20 2 2 36 Second Third 20