Lesson 3 Life Is a Sum of Choices
There’s More than One Way to Vote
We make many personal choices in our lives, from who to have lunch with to ____ career to pursue.
However, there are many situations where we must ____ decisions as a group.
Group ____ is not as simple as our personal choices, as it involves numerous voices with differing opinions.
Voting is often used to make group decisions fairer and more efficient, and ____ voting methods have been developed over time.
The following story illustrates ____ these different voting methods work.
The members of the Greenville High School student council needed to decide ____ to raise money for children in need.
Their three options were an art show, a bake ____, and a charity concert, but there were conflicting opinions.
So they ____ to put it to a vote.
When they asked for advice from Ms. Akers, the council’s advisor, she encouraged ____ not to use the familiar voting method, but to try something different instead.
After doing some research, the council members decided to try three different voting systems: the first-past-the-post method, the alternative vote method, and the ____ method.
The entire council was ____ to find out if the different methods would yield different results.
On the day of the vote, each possible event was given a letter: “art show” was represented by the letter A, the letter B indicated “bake sale,” and C stood for “____ concert.”
Each of the 20 council members was ____ a voting slip and instructed to write down the options in order of preference.
For example, if the charity concert was their first choice, followed by the bake sale and the art show, they would ____ CBA.
____ every member had voted, the voting slips were counted.
The results were as ____:
The First-Past-The-Post Method
The FPTP method is the ____ of the three methods.
Voters are given ____ options, and whichever gets the most first-preference votes wins.
Neither the second nor third preference ____ at all, so they are ignored.
This method is ____ used in political elections around the world.
The ____ council quickly determined that the winner would be option C, the charity concert.
This was because it received 8 ____ votes, while option A received 5 and option B received 7.
The FPTP method is uncomplicated and easy to understand, but it ____ a significant weakness.
It is possible to win a vote without the ____ of the majority.
That was the case ____.
According to the ____ of the FPTP method, the council’s choice was to hold a charity concert.
____, only 8 out of 20 council members chose the charity concert as their first preference, which equaled 40% of the total votes.
The Alternative Vote Method
Next, the council ____ examined the votes using the AV method, and they soon realized that there would be a different result.
The AV method can potentially include more than one round of ____.
For an option to win in the first round, it needs to ____ more than 50% of the first-preference votes.
As the charity concert only received 40% of the total votes, a second round of ____ was required.
Option A, the art show, received the fewest first-preference ____, with only 5 council members voting for it.
Therefore, option A was eliminated, and the 5 ____ members’ votes were redistributed based on their second preferences.
As a ____, 4 votes for option B and 1 for option C were added to the total.
This meant that option B had 11 total ____, while option C had only 9.
As a result, the ____ sale would be the winner.
Unfortunately, the AV method is not ____ either.
It sometimes allows second-preference ____ to have a greater influence than first-preference votes.
In this case, the bake sale ____, but this was mainly due to the second-preference votes it received.
The Condorcet Method
Finally, the student council ____ the votes using the Condorcet method.
This method involves comparing the voters’ preferences between each ____ pair of options.
In this case, there were three ____ to consider: A vs. B, B vs. C, and A vs. C.
Through this ____, the student council discovered that its members preferred option A to option B by a count of 11 to 9.
In other words, 11 people preferred A to B, voting either ABC, ACB, or ____.
Meanwhile, 9 ____ preferred B to A by voting BAC, BCA, or CBA.
Interestingly, the voters preferred ____ B to option C by the same count of 11 to 9.
They also ____ option A to option C by 11 to 9.
As option A, the art show, was preferred to both of the other options, it would be considered the ____.
The Condorcet method’s weakness is that, along with being complex, it sometimes fails to select a ____.
This is ____ true in elections that contain numerous options.
It is possible that no option ____ be clearly preferred over the others.
Instead of all methods pointing ____ a single option and making the council’s choice easier, the winner differed with each method.
After a ____, intense discussion with Ms. Akers, the student council members decided to choose the Condorcet method, as they liked the idea of directly comparing each option with the others.
Everyone ____ that they learned a lot about different voting systems through this experience.
It is obvious that choosing an ____ voting method is a complex and challenging task.
No voting system is ____ or clearly superior to another.
Whichever we choose will have ____ and cons. Some people believe that it is best to keep the process simple by not ranking our choices at all.
Others ____ to develop and test new ways of voting, arguing that more complex methods deliver more accurate results.
All of these ____ are designed not to make decision-making difficult and inefficient, but to help us make better decisions as a society.
Ultimately, understanding all of the possible voting methods and weighing their pros and ____ allows us to better understand the process of decision-making.
When we understand decision-making ____, we are more likely to become better decision-makers ourselves.