Question

Question 1

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

   	Rachel	Ross	Joey
   First choice	Italian	Italian	Chinese
   Second choice	Chinese	Chinese	Mexican
   Third choice	Mexican	Mexican	French
   Fourth choice	French	French	Italian

   If the three friends use a Borda count to make their decision, where do they go to eat?

   		Italian
   		Chinese
   		Mexican
   		French

Question 2

1. On their way to their chosen restaurant, they see that the Mexican and French restaurants are closed, so they use a Borda count again to decide between the remaining two restaurants. Where do they decide to go now?

   		Italian
   		Chinese

Question 3

1. Which element of Arrow's Impossibility Thoerem was violated in the previous example?

   		The Pareto Criterion
   		Transitive (Non-Cyclical) Preferences
   		The Independence of Irrelevant Alternatives
   		The Minimal Liberalism Criterion

Answer 1

Answer 1(b) :- Chinese

• If the three friends use a Borda count to make their decision they go for Chinese meal because each of these restaurants got different votes and the maximum number of votes will decide the best choice
• Chinese =10, Italian =9, Mexican =7, French =4 votes, therefore the Chinese restaurant got the maximum number of votes =10, hence they will go to Chinese

Answer 2(a) :- Italian

• In this case, Italian gets 5 votes, whereas Chinese gets 4 votes, since Italian gets more votes than Chinese, therefore they will preffere Italian Restaurant

Answer 3(C) :- The independence of irrelevant Alternatives

• All of the above decisions which are taken on the basis of number of votings violets the assumptions of the independence of irrelevant alternatives
• The preferences between Chinese and Italian should not be altered in the presence of French and Mexican Restaurants