Problem

A 28-member Board of Directors votes to decide which of 5 charities will receive a large...

A 28-member Board of Directors votes to decide which of 5 charities will receive a large donation. The preferences are given in the following table.

a. Is there a Condorcet charity? Explain.

b. Which charity wins under the pairwise comparison method? Does this case violate the irrelevant- alternatives criterion? Justify your response.

c. Which charity wins under the Borda count method? Does this case violate the head-to-head or the irrelevant-alternatives criterion? Justify your responses.

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