Lesson 3 Life Is a Sum of Choices
There’s More than One Way to Vote
We make ____ personal choices in our lives, from who to have lunch with to what career to pursue.
However, there are many situations where we ____ make decisions as a group.
____ decision-making is not as simple as our personal choices, as it involves numerous voices with differing opinions.
____ is often used to make group decisions fairer and more efficient, and various voting methods have been developed over time.
The ____ story illustrates how these different voting methods work.
The members of the Greenville High School student council needed to decide how to ____ money for children in need.
Their three options were an art show, a bake sale, and a charity concert, but ____ 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 them not to use the familiar ____ method, but to try something different instead.
After doing some ____, the council members decided to try three different voting systems: the first-past-the-post method, the alternative vote method, and the Condorcet method.
The entire council was curious to find out if the different methods would yield ____ results.
On the day of the vote, ____ possible event was given a letter: “art show” was represented by the letter A, the letter B indicated “bake sale,” and C stood for “charity concert.”
Each of the 20 council ____ was given a voting slip and instructed to write down the options in order of preference.
For example, if the ____ concert was their first choice, followed by the bake sale and the art show, they would write CBA.
After every ____ had voted, the voting slips were counted.
The ____ were as follows:
The First-Past-The-Post Method
The FPTP method is the simplest of the three ____.
Voters are given several ____, and whichever gets the most first-preference votes wins.
Neither the second nor third preference matters at ____, so they are ignored.
This method is ____ used in political elections around the world.
The student council quickly determined that the winner would be ____ C, the charity concert.
This was ____ it received 8 first-preference votes, while option A received 5 and option B received 7.
The ____ method is uncomplicated and easy to understand, but it has a significant weakness.
It is possible to win a vote ____ the support of the majority.
That was the case ____.
According to the results of the FPTP method, the council’s choice was to hold a ____ concert.
However, only 8 ____ 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 members ____ the votes using the AV method, and they soon realized that there would be a different result.
The AV method can potentially include more ____ one round of counting.
For an option to ____ in the first round, it needs to get 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, ____ the fewest first-preference votes, with only 5 council members voting for it.
____, option A was eliminated, and the 5 council members’ votes were redistributed based on their second preferences.
As a result, 4 votes for option B and 1 for ____ C were added to the total.
This meant that option B had 11 total votes, while option C ____ only 9.
As a result, the bake ____ would be the winner.
Unfortunately, the AV ____ is not perfect either.
It sometimes allows second-preference votes to have a ____ influence than first-preference votes.
In this case, the ____ sale won, but this was mainly due to the second-preference votes it received.
The Condorcet Method
____, the student council counted the votes using the Condorcet method.
This method involves comparing the voters’ preferences between ____ possible pair of options.
In this case, there were ____ pairs to consider: A vs. B, B vs. C, and A vs. C.
Through this method, the ____ council discovered that its members preferred option A to option B by a count of 11 to 9.
In other words, 11 ____ preferred A to B, voting either ABC, ACB, or CAB.
Meanwhile, 9 people preferred B to A by voting ____, BCA, or CBA.
____, the voters preferred option B to option C by the same count of 11 to 9.
They ____ preferred option A to option C by 11 to 9.
As option A, the art show, was preferred to both of the other options, it ____ be considered the winner.
The Condorcet method’s weakness is that, along with being complex, it sometimes fails to select a ____.
This is especially true in ____ that contain numerous options.
It is possible that no option will be clearly ____ 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 long, intense discussion with Ms. Akers, the student council members decided to choose the Condorcet method, as they liked the idea of directly comparing each ____ with the others.
Everyone agreed that they learned a lot about different voting systems ____ this experience.
It is obvious that choosing an ideal voting ____ is a complex and challenging task.
No voting ____ is flawless or clearly superior to another.
____ we choose will have pros and cons. Some people believe that it is best to keep the process simple by not ranking our choices at all.
Others continue to develop and test new ways of voting, arguing that more complex methods ____ more accurate results.
____ of these efforts 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 cons allows us to better understand the ____ of decision-making.
When we understand decision-making better, we are more ____ to become better decision-makers ourselves.