The Math Department Is Voting for a New Department Chairperson

question 11

Multiple Choice

The math department is voting for a new department chairperson. The candidates are Jenkins (J) , Peterson (P) , and Thomas (T) . The results of the election are summarized in the preference table below.
$\begin{array}{l|lll}\text { Number of votes } & 5 & 3 & 4 \\\hline \text { First choice } & \text { T } & \text { J } & \text { P } \\\text { Second choice } & \text { J } & \text { P } & \text { T } \\\text { Third choice } & \text { P } & \text { T } & \text { J }\end{array}$

The winner is determined by the plurality-with-elimination method. Suppose the election is declared invalid, and that a reelection is held. If the voters in column 2 change their vote from JPT to PJT, is the monotonicity criterion violated?

• A) Yes
• B) No

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Definitions:

Political Ideologies

Systems of beliefs or sets of ideas that outline how society should work and offer some political and cultural blueprint.

Liberals

Individuals or groups advocating for policies that emphasize civil liberties, democratic principles, and the use of governmental power to foster social progress.

Conservatives

A political ideology emphasizing the value of traditional institutions and practices, limited government, and, often, a free-market economy.

Socialists

Individuals or groups advocating for a political and economic system where production, distribution, and exchange are owned or regulated by the community as a whole.