Table 22-2 the Citizens of Paradoxopolis Will Decide Whether to Build a Build

question 70

Multiple Choice

Table 22-2
The citizens of Paradoxopolis will decide whether to build a new school, build a new park, or build a new road. Exactly one of the three choices will prevail, and the choice will be made by way of pairwise voting, with the majority determining the outcome on each vote. The preferences of the voters are summarized 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 in Paradoxopolis?

• A)The paradox implies that pairwise voting never produces transitive preferences, and so the voting in Paradoxopolis fails to produce transitive preferences.
• B)The paradox implies that pairwise voting sometimes (but not always) produces transitive preferences, and the voting in Paradoxopolis does produce transitive preferences.
• C)The paradox implies that pairwise voting sometimes (but not always) fails to produce transitive preferences, and the voting in Paradoxopolis fails to produce transitive preferences.
• D)The paradox does not apply to the case at hand, because the preferences of Type 3 voters are not individually transitive.

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Definitions:

Parameter Data

Data or values that define or control the behavior of a mathematical function or system.

Nominal Data

This data type categorizes variables without a natural order or ranking among the categories.

Ordinal Data

A type of categorical data in which the order of values is significant, but the differences between values are not necessarily consistent.

Interval Data

A type of data measurement that not only keeps order but also has consistent differences between consecutive values, without a true zero point.