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Warm Up – 2/24 - Monday

Five players are dividing a cake using the lone- Divider Method. divides the cake. The bid sets are as follows. What is ’s bidset ? Which slice does have to take? Why? How many fair divisions can be made? Why no more?. Warm Up – 2/24 - Monday. Chapter So-Far. Fair Division

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Warm Up – 2/24 - Monday

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  1. Five players are dividing a cake using the lone- Divider Method. divides the cake. The bid sets are as follows. What is ’s bidset? Which slice does have to take? Why? How many fair divisions can be made? Why no more? Warm Up – 2/24 - Monday

  2. Chapter So-Far • Fair Division • Fair means everyone gets what a fair share based on their own value system • Divider-Chooser (2 players) • Lone Divider (More than 2 players) • One person divides, the other players bid • Ties are settled by Divider-Chooser • Lone Chooser (More than 2 players) • One person chooses at the end • Other Players ensure they get at least a fair share

  3. Lone-Chooser Example • Angela, Boris, and Carlos will split a strawberry-vanilla cake using Lone-Chooser. • Above is how they value the cake. • Label each side of the cake in terms of how much the person likes that side.

  4. Angela cuts the cake… • Into two shares, and . 1. Which share will Boris pick? 2. How will Boris subdivide his share? 3. How will Angela subdivide her share? 4. Which pieces will Carlos select?

  5. Lone-Chooser Classwork

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