Lone Divider Method and Fair Division

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.

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

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

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

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CCSS.8.EE.C.7B

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

• $50,000

• $100,000

• $150,000

• $200,000

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CCSS.8.EE.C.7B

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

• Renee

• Linda

• Martin

• Juan

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CCSS.RI.6.7

CCSS.RI.8.7

CCSS.RI.9-10.7

CCSS.RL.6.7

CCSS.RL.7.7

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

• Piece 3

• Piece 2

• Piece 4

• Piece 1

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CCSS.3.OA.A.2

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

• Samantha

• Catherine

• Kelly

• Renee

In the third example, what method is used when only two parties remain?

• Auction Method

• Random Selection

• Divider-Chooser Method

• Majority Vote

What is the outcome if there is a standoff with more than two parties?

• The divider chooses first

• The choosers negotiate a solution

• The process is repeated with combined pieces

• The divider receives a contested piece

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CCSS.3.OA.A.3

In the third example, who was the divider initially?

• Linda

• Rhonda

• Mina

• George

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CCSS.3.OA.A.3