Logan and Victor want to divide a cake using the divider-chooser method. They dr

Question

Logan and Victor want to divide a cake using the divider-chooser method. They draw straws and determine that Logan will be the divider and Victor will be the chooser a) Assuming each player plays the game fairly, is it possible for Logan to believe that his share is worth 60% of the cake? why or why not? b) Is it possible for Victor to believe her share is worth 60% of the cake? why or why not? 6.Five investors purchase a piece of land for one million dollars and decide to divide it fairly among themselves using the last diminisher method. The investors are Bob, Patrick Sandy, Gary, and Plankton (in that order.) In round 1, the only diminisher is Patrick. In round 2, the only diminisher is Gary. In round 3, everyone diminishes. Describe who gets the land at the end of each round, as well as what happens in the final round 7.Three players are going to divide a parcel of land using the lone divider method. The choosers both bid on only s3. Is it possible for the divider to end up with any part of s3? How should this problem be settled? Explain the final division thoroughly 8. Francis, Lewis, Bill, and Zoey agree to fairly divide a cake using the lone divider method. The table below shows how each player values each of the four slices that have been cut by the divider as percentages of the whole 25% 20% 20% 30% S2 25% 32% 22% 32% 25% 28% 45% 28% 25% 20% 13% 10% Francis Lewis oe a) Assuming all players player honestly, which player was the divider? b) Assuming that he plays fairly, what should be Zoey's declaration? c) Describe a fair division of the cake

Explanation / Answer

5.

The fair share in the devider-chooser method:

Depending on the number of players participating, the fair share will equal 1/n of the goods when playing with n people.

Here in the question, we have two player Logan and Victor participating in the devider chooser game.

Hence n= 2

(a) the fair share of Logan is : 1/2 .

Hence Logan can not believe that his share is worth 60% of the cake , as they play the game fairly.

(b) The fair share of Victor: 1/2

Hence Victor can not believe that her share is worth 60% of the cake.

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