Suppose the Election Is Declared Invalid, and a Reelection Is

question 51

Short Answer

Suppose the election is declared invalid, and a reelection is held in which the people who originally voted XWYZ change their vote to ZWYX.

$\begin{array}{l|lllll}\text { Number of votes } & 4 & 2 & 5 & 4 & 1 \\\hline \text { First choice } & \text { Z } & \text { X } & \text { W } & \text { Y } & \mathrm{X} \\\text { Second choice } & \text { W } & \text { W } & \text { Y } & \mathrm{Z} & \mathrm{Z} \\\text { Third choice } & \text { Y } & \text { Y } & \text { Z } & \text { X } & \text { W } \\\text { Fourth choice } & \text { X } & \mathrm{Z} & \mathrm{X} & \mathrm{W} & \mathrm{Y}\end{array}$
Is the monotonicity criterion violated? Explain your answer.

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Definitions:

Surface Fire

A fire that burns only the surface litter and undergrowth of a forest or grassland, often used in controlled burns for forest management.

Mature Trees

Fully grown trees that have reached their full size and reproductive potential, playing a crucial role in ecosystems by providing habitat and maintaining biodiversity.

Seedlings

are young plants, especially trees, that have germinated from seeds and are in the early stages of growth.

Crown Fire

A wildfire that spreads from treetop to treetop, often out of control, and is more intense than a surface fire.