Table 22-2 Three Longtime Friends-Allen, Brian, and Cody-Are Deciding How They Will

question 293

Multiple Choice

Table 22-2
Three longtime friends-Allen, Brian, and Cody-are deciding how they will spend their Sunday afternoon. They all agree that they should do one of three things: go to a movie, play golf, or go to a baseball game. They also agree that they will have two pairwise votes to determine how to spend their afternoon, with the majority determining the outcome on each vote. The first, second, and third choices for each person are as indicated in the table below.
-Refer to Table 22-2. Which of the following statements is correct regarding the Condorcet paradox and the results of pairwise voting by Allen, Brian, and Cody?

• A)The paradox implies that pairwise voting never produces transitive preferences, and so the voting by Allen, Brian, and Cody fails to produce transitive preferences.
• B)The paradox implies that pairwise voting sometimes (but not always) produces transitive preferences, and the voting by Allen, Brian, and Cody does produce transitive preferences.
• C)The paradox implies that pairwise voting sometimes (but not always) fails to produce transitive preferences, and the voting by Allen, Brian, and Cody fails to produce transitive preferences.
• D)The paradox does not apply to the case at hand, because Brian's preferences are not individually transitive.

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Definitions:

Fallopian Tube

A pair of tubes along which eggs travel from the ovaries to the uterus, crucial for fertilization and early embryo transport.

Crus

A term often used in anatomy to refer to parts of the body that resemble a leg or a leglike part, such as the crus of the diaphragm or penis.

Clitoris

A female sexual organ located at the anterior part of the vulva, known for its sensitivity and role in female sexual pleasure.

Infundibulum

A funnel-shaped cavity or structure, especially the stalk connecting the pituitary gland to the hypothalamus in the brain.