Understanding the Divider-Chooser Method

Understanding the Divider-Chooser Method

Assessment

Interactive Video

Mathematics, Business, Education

7th - 10th Grade

Hard

Created by

Jackson Turner

FREE Resource

The video tutorial explains the Divider-Chooser method of fair division, which is suitable for two players. It outlines the steps involved: one player divides an item into two equal parts, and the other chooses a piece. The method's limitation is demonstrated through an example with three players, showing that it fails to ensure fairness for all. The conclusion emphasizes that the method is only reliable for two players.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary reason the Divider-Chooser Method is not suitable for more than two people?

It requires too much time.

It needs more resources.

It cannot guarantee a fair share for everyone.

It is too complex to understand.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the Divider-Chooser Method, what is the role of the divider?

To choose the best piece.

To cut the item into two equal pieces.

To distribute the pieces randomly.

To ensure everyone gets a fair share.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the chooser do in the Divider-Chooser Method?

Selects one of the two pieces.

Ensures the pieces are equal.

Distributes the remaining piece.

Cuts the item into pieces.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the role of the divider in ensuring fairness?

To ensure all pieces are different.

To ensure all pieces are equal in value.

To ensure all pieces are the same size.

To ensure all pieces are chosen randomly.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example with three players, what is the total value of the land being divided?

$400,000

$200,000

$100,000

$300,000

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Who acts as the divider in the example scenario?

Linda

Juan

Martin

None of them

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why does Martin not receive a fair share in the example?

He valued all pieces equally.

He chose the wrong piece.

He values his piece less than his fair share.

He was not allowed to choose.

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