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

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answerhappygod
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Three friends are choosing a restaurant for dinner. Here are their preferences: Azil Maya Eri

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Three friends are choosing a restaurant for dinner. Here
are their preferences:
Azil
Maya
Erica
First choice
French
French
Mexican
Second choice
Mexican
Mexican
Italian
Third choice
Italian
Italian
Chinese
Fourth choice
Chinese
Chinese
French
a) If the three friends use a Borda count to make their
decision, where do they go to eat? You must show the number of
points for each possible choice to justify your
answer.
b) On the way to their chosen restaurant, they see that
the Italian and Chinese restaurants are closed, so they use a Borda
count again to decide between the remaining two restaurants. Where
do they decide to go now? Once again show the total points for each
choice that is now available to explain your answer.
c) How do your answers to Parts a) and b) relate to
Arrow's impossibility theorem?
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