Three friends are choosing a restaurant for dinner. Here are their preferences:

Question

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?

Explanation / Answer

A)Chinese = 4*1+3*2 =10

Italian = 4*2+1*1 = 9

Mexiacan = 3*1+2*2 = 7

French = 1*2+2*1 =4

So Chineese.

B) Italian= 2*2+1*1= 5

Chinese = 2*1+2*1 = 4

So, Italian.

C)a) As more people prefer Italian over chinese so Italian

b) Same as above here also.

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