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In: Mechanical Engineering

The seniors at Weseltown High School are voting on where to go for their senior trip....

The seniors at Weseltown High School are voting on where to go for their senior trip. They are deciding on Angel Falls(A), Bend Canyon(B), Cedar Lake(C) or Danger Gap(D). The results of the preferences are:

DABC = 120

ACBD = 100

BCAD = 90

CBDA = 80

CBAD = 45

a. Who is the Condorcet candidate?

b. Is there a majority winner? If not, is there a plurality winner? Does this violate the Condorcet criterion?

c. Who wins the Borda count? Does this violate the Condorcet criterion?

d. Who wins using the Hare method? Does this violate the Condorcet criterion?

e. Who wins using the pairwise comparison method? Does this violate the Condorcet criterion?

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