Three friends are trying to decide where to go to dinner. There are four restaurants nearby: Thai, Italian, Tex-Mex, and sushi. Assume the friends have the following preferences:
Gabe: Thai > Italian > Sushi > Tex-Mex
Arnold: Italian > Tex-Mex > Sushi > Thai
Julie: Sushi > Tex-Mex > Thai > Italian
a. The friends decide to hold a majority vote that pits the Thai place against the Italian; the winner of that vote against the Tex-Mex; and then the next winner against the sushi. Which restaurant do they end up going to?
b. If they vote on sushi versus Tex-Mex, the winner against Italian, and then the winner against Thai, which restaurant will they choose?
c. Which of the criteria for an ideal voting system is violated in this example?