CHAPTER 3                                                                                                COURTNEY T

2.4, 2.5, 2.6

FAIR DIVISION

 

QUOTE: 

"We are all born mad; some remain so"---Samuel Beckett

 

SECTION 2.4 SECTION 2.5 SECTION 2.6
Algorithms  and Paradoxes  The Continuous Case Math Induction

 

Section 2.4

More Apportionment Algorithms and Paradoxes

THE WEBSTER METHOD

Uses the rounding method.

 

THE HILL METHOD

rounds by using the geometric mean instead of the arithmetic mean.

 

THE JEFFERSON METHOD

Truncates a quota and apportions a number of seats equal to the integer part of the quota.

 

 

 

Section 2.5  

The Continuous Case    

CUT AND CHOOSE METHOD

 

INSPECTION METHOD

 

MOVING KNIFE METHOD

 

 

2.6 

Mathematical Induction

 

Math Induction-  proves a discrete process will work indefinitely

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THE END!!!!!!!!!!!!!!!!!!!!!!

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