Lone Divider Method and Fair Division

Lone Divider Method and Fair Division

Assessment

Interactive Video

Mathematics, Business, Education

6th - 10th Grade

Hard

Created by

Sophia Harris

FREE Resource

The video tutorial explains the Lone Divider Method for fair division, applicable to any number of parties. It outlines the method's steps: a divider divides items into equal-value pieces, choosers declare their fair shares, and pieces are allocated based on declarations. If a standoff occurs, the process is repeated or resolved using the Divider-Chooser method. Examples illustrate the method with different numbers of participants, demonstrating how fair shares are allocated and standoffs are resolved.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary purpose of the Lone Divider Method?

To maximize the value for the divider

To minimize the number of contested pieces

To ensure fair division among multiple parties

To divide items equally among two parties

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the Lone Divider Method, what is the role of the divider?

To resolve conflicts between choosers

To ensure all parties are satisfied

To divide the items into equal value pieces

To choose the best piece first

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens if two or more parties want the same piece in the Lone Divider Method?

The piece is split into smaller parts

A standoff occurs and the process is repeated

The piece is auctioned

The piece is given to the divider

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the first example, how much is each investor's fair share of the land worth?

$50,000

$100,000

$150,000

$200,000

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Who was the divider in the first example involving three investors?

Renee

Linda

Martin

Juan

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the second example, which piece was not contested initially?

Piece 3

Piece 2

Piece 4

Piece 1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Who was the divider in the second example with four participants?

Samantha

Catherine

Kelly

Renee

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