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Three friends are choosing a restaurant for dinner. Here are their preferences: Rachel Ross Joey
1st choice Italian Italian Chinese
2nd choice Chinese Chinese Mexican
3rd choice Mexican Mexican French
4th choice French French Italian
a. If the three friends use a Borda count to make their decision, where do they go to eat?
b. On their way to their chosen resturant, they see that the Mexican and French resturants are closed, so they use a Borda count again to decide between the remaining two restaurants. Where do they decide to go now?
c. How do your answers to parts (a) and (b) relate to Arrow's impossibility theorem?
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