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5. Understanding the Condorcet paradox Brian, Crystal, and Hilary want to bake a

ID: 1117585 • Letter: 5

Question

5. Understanding the Condorcet paradox Brian, Crystal, and Hilary want to bake a cake. They are choosing among chocolate cake (C), vanilla cake ), and red velvet cake (D). The following table shows each person's preferences for cake flavors. The three friends decide to vote on the kind of cake they want and agree to bake the kind that wins by majority vote. Crystal Hilary Brian First choice Second choice Third choice Suppose Brian, Crystal, and Hillary first vote on whether to bake a red velvet cake or a chocolate cake, and then they vote between vanilla cake and the winner from the previous vote. , and between this winner and vanilla cake, the majority Between red velvet cake and chocolate cake, the majority will vote for Now, suppose Brian, Crystal, and Hilary first vote on whether to bake a chocolate cake or a vanilla cake, and then they vote between red veivet cake and the winner from this vote.

Explanation / Answer

1) Between R and C; R wins

2) Between R and V; V wins

3) Between C and V; V wins

4) Between V and R; R wins

5) False

If Bundle A is preferred over B, bundle B preferred over C then bundle A must be preferred over C.

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