fair division methods

fair division methods - -The Lone-Divider: When there are...

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Fidelia Igwe Professor Nunally Math 131 September 21, 2011 1. What do these methods have in common? All of the methods are rules that define how the game is to be played and is based on each player’s opinion about how “the goods” should be divided. 2. How do they differ? - Fair division methods differ in that they can be either continuous (the goods are divisible in infinitely many ways and shares can be increased or decreased by arbitrarily small amounts), discrete (when the goods are made up of objects that are indivisible), or mixed (some of the components are continuous and some discrete). 3. In which situation should each method be used? - The divider Chooser: anytime the fair-division involve two players and a continuous set
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Unformatted text preview: -The Lone-Divider: When there are three players and one is the divider and two others choose or when there are more than three players and there is a standoff.-The Lone-Chooser:when one chooses and all other players are dividers-The Last Diminisher: the goods are able to be diminished by each player so that they will always receive what they feel is a fair share 4. Which is your favorite? Defend it.-My favorite method is the divider-chooser method because it takes into account rationality and privacy ensuring that both the divider and chooser will receive a fair share. 5. Are any of these methods envy-free? -All expect Lone-divider with four players...
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This note was uploaded on 10/03/2011 for the course MTH 131 taught by Professor Staff during the Fall '11 term at VCU.

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