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A Mathematical View of Our World 1 st ed. Parks, Musser, Trimpe, Maurer, and Maurer
Chapter 4 Fair Division
Section 4.1 Divide and Choose Methods ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
4.1 Initial Problem ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
4.1 Initial Problem, cont’d ,[object Object],[object Object],[object Object],[object Object],[object Object]
Fair-Division Problems ,[object Object],[object Object],[object Object]
Types of Fair-Division Problems ,[object Object],[object Object],[object Object]
Types of Fair-Division, cont’d ,[object Object],[object Object],[object Object],[object Object],[object Object]
Types of Fair-Division, cont’d ,[object Object],[object Object],[object Object],[object Object]
Question: ,[object Object],[object Object],[object Object],[object Object]
Types of Fair-Division, cont’d ,[object Object],[object Object],[object Object]
Value of a Share ,[object Object],[object Object]
Value of a Share, cont’d ,[object Object],[object Object]
Fair Division for Two Players ,[object Object],[object Object],[object Object]
Divide-And-Choose Method ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Divide-And-Choose Method, cont’d ,[object Object],[object Object],[object Object]
Example 1 ,[object Object],[object Object],[object Object]
Example 1, cont’d ,[object Object],[object Object]
Example 1, cont’d ,[object Object],[object Object],[object Object]
Example 1, cont’d ,[object Object],[object Object]
Example 1, cont’d ,[object Object],[object Object]
Example 1, cont’d ,[object Object],[object Object],[object Object],[object Object],[object Object]
Example 1, cont’d ,[object Object],[object Object],[object Object],[object Object]
Example 2 ,[object Object],[object Object],[object Object],[object Object]
Example 2, cont’d ,[object Object],[object Object],[object Object],[object Object]
Example 2, cont’d ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Example 2, cont’d ,[object Object],[object Object],[object Object],[object Object]
Example 2, cont’d ,[object Object],[object Object],[object Object],[object Object]
Two Players, cont’d ,[object Object],[object Object],[object Object],[object Object]
Fair Division for Three Players ,[object Object],[object Object],[object Object]
Divide-And-Choose Method ,[object Object],[object Object],[object Object],[object Object],[object Object]
Divide-And-Choose Method, cont’d ,[object Object],[object Object],[object Object],[object Object]
Divide-And-Choose Method, cont’d ,[object Object],[object Object],[object Object]
Example 4.3 ,[object Object],[object Object],[object Object],[object Object],[object Object]
Example 4.3, cont’d ,[object Object]
Example 4.3, cont’d ,[object Object],[object Object]
Example 4.3, cont’d ,[object Object],[object Object]
Example 4.3, cont’d ,[object Object]
Example 4.3, cont’d ,[object Object],[object Object],[object Object],[object Object],[object Object]
Last-Diminisher Method ,[object Object],[object Object],[object Object]
Last-Diminisher Method, cont’d ,[object Object],[object Object],[object Object]
Last-Diminisher Method, cont’d ,[object Object],[object Object],[object Object],[object Object]
Example 4.4 ,[object Object],[object Object],[object Object],[object Object]
Example 4.4, cont’d ,[object Object],[object Object],[object Object]
Example 4.4, cont’d ,[object Object]
Example 4.4, cont’d ,[object Object],[object Object],[object Object],[object Object]
Example 4.4, cont’d ,[object Object],[object Object],[object Object],[object Object]
Example 4.4, cont’d ,[object Object],[object Object],[object Object],[object Object],[object Object]
Example 4.4, cont’d ,[object Object],[object Object],[object Object],[object Object],[object Object]
Example 4.4, cont’d ,[object Object],[object Object],[object Object],[object Object],[object Object]
Example 4.4, cont’d ,[object Object],[object Object],[object Object],[object Object]
4.1 Initial Problem Solution ,[object Object],[object Object],[object Object],[object Object]
Initial Problem Solution, cont’d ,[object Object],[object Object]
Initial Problem Solution, cont’d ,[object Object]
Initial Problem Solution, cont’d ,[object Object],[object Object]
Initial Problem Solution, cont’d ,[object Object],[object Object],[object Object],[object Object]
Initial Problem Solution, cont’d ,[object Object]
Initial Problem Solution, cont’d ,[object Object]
Initial Problem Solution, cont’d ,[object Object],[object Object],[object Object]
Section 4.1 Assignment ,[object Object]
Section 4.2 Discrete and Mixed Division Problems ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Discrete Fair Division ,[object Object],[object Object],[object Object],[object Object]
Method of Sealed Bids ,[object Object],[object Object],[object Object],[object Object],[object Object]
Method of Sealed Bids, cont’d ,[object Object],[object Object],[object Object]
Method of Sealed Bids ,[object Object],[object Object],[object Object],[object Object]
Method of Sealed Bids ,[object Object],[object Object],[object Object],[object Object],[object Object]
Method of Sealed Bids ,[object Object]
Method of Sealed Bids ,[object Object]
Method of Sealed Bids ,[object Object],[object Object],[object Object],[object Object]
Method of Sealed Bids ,[object Object],[object Object],[object Object],[object Object]
Method of Sealed Bids ,[object Object],[object Object],[object Object],[object Object]
Method of Sealed Bids ,[object Object]
Method of Sealed Bids ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Method of Sealed Bids ,[object Object],[object Object],[object Object],[object Object]
Method of Sealed Bids ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Example 4.6 from pg 237 ,[object Object],[object Object]
Example 4.6, cont’d ,[object Object],[object Object],[object Object]
Example 4.6, cont’d ,[object Object],[object Object]
Example 4.6, cont’d ,[object Object],[object Object],[object Object],[object Object]
Example 4.6, cont’d ,[object Object],[object Object],[object Object]
Example 4.6, cont’d ,[object Object],[object Object],[object Object]
Example 4.6, cont’d ,[object Object],[object Object],[object Object],[object Object]
Example 4.6, cont’d ,[object Object],[object Object],[object Object],[object Object],[object Object]
Example 4.6, cont’d ,[object Object]
Section 4.2 Assignment ,[object Object]
Section 4.2 Assignment ,[object Object],Section 4.1 Assignment ,[object Object]

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Nossi Ch 4.1 and 4.2

  • 1. A Mathematical View of Our World 1 st ed. Parks, Musser, Trimpe, Maurer, and Maurer
  • 2. Chapter 4 Fair Division
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12.
  • 13.
  • 14.
  • 15.
  • 16.
  • 17.
  • 18.
  • 19.
  • 20.
  • 21.
  • 22.
  • 23.
  • 24.
  • 25.
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