Given the Following Voter Profile, Determine Who Has the Majority

question 91

Multiple Choice

Given the following voter profile, determine who has the majority of first place votes and then use the Borda Method to determine the outcome. Does the Borda method violate the majority criterion For the voter profile?
$\begin{array}{c|l}\text { Number of Voters } & \text { Ranking } \\\hline 28 & \mathrm{~b}>\mathrm{a}>\mathrm{c}>\mathrm{d} \\11 & \mathrm{c}>\mathrm{a}>\mathrm{d}>\mathrm{b} \\9 & \mathrm{~d}>\mathrm{c}>\mathrm{a}>\mathrm{b} \\5 & \mathrm{a}>\mathrm{d}>\mathrm{c}>\mathrm{b} \\1 & \mathrm{c}>\mathrm{d}>\mathrm{a}>\mathrm{b}\end{array}$

• A) b, a; yes
• B) \(a\), a; no
• C) a, b;yes
• D) b, b; no

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Definitions:

Social Choice and Individual Values

A concept in welfare economics and political science that examines how to aggregate individual preferences, values, or welfare to reach collective decisions.

Condorcet Paradox

The failure of majority rule to produce transitive preferences for society.

Condorcet Paradox

The Condorcet Paradox is a concept in voting theory where individual preferences cannot be aggregated into a consistent collective decision without creating contradictions.

Arrow's Properties

A set of criteria designed by economist Kenneth Arrow to assess the social welfare or collective decision-making functions, ensuring fairness, unanimity, and independence of irrelevant alternatives.