1 / 11

Homework p. 103 (2, 4, 8, 10, 11, 16, 20)

Homework p. 103 (2, 4, 8, 10, 11, 16, 20). 2. a) $19.20 4. a) $13.50 8. a) s2, s3 ($7 is fair) b) $4.80 b) $4.50 b) s1, s2 ($6 is fair) c) $6.40 c) $5.40 c) s1 ($7 is fair) d) $1.20 d) $1.35 d) A-s3, B-s2, C-s1 10. a) s2, s3 11. a) s2, s3

faith-joseph
Download Presentation

Homework p. 103 (2, 4, 8, 10, 11, 16, 20)

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Homework p. 103 (2, 4, 8, 10, 11, 16, 20) 2. a) $19.20 4. a) $13.50 8. a) s2, s3 ($7 is fair) b) $4.80 b) $4.50 b) s1, s2 ($6 is fair) c) $6.40 c) $5.40 c) s1 ($7 is fair) d) $1.20 d) $1.35 d) A-s3, B-s2, C-s1 10. a) s2, s3 11. a) s2, s3 b) s2, s3 b) s1, s2, s3, s4 c) s2, s3 c) s1, s2 d) No, s1 is not fair for anyone d) s1 e) D-s1, C-s2, B-s4, A-s3 16. a) s1[0, 3], s2 [3,12] 20. a) No b) Jared wants s2, $7 worth b) yes, David chooses s2, 60% c) No

  2. Lone-Divider and Lone-Chooser Methods Unit 3 – Fair Division

  3. Lone-Divider Method • Three players, one player is the divider, the other two are choosers • We will refer to the divider as ____ and the choosers as _____ and _____ • This method is an extension of the ______ ______________________ for three people

  4. Lone-Divider Method Step 1: (__________) The divider D divides the cake into three shares (s1, s2, s3). *D will get one of the three shares, but does not know which share he/she will get. All three shares are equal in the eyes of D Step 2: (___________) C1 and C2 declare which of the three pieces are fair shares to each of them secretly. *A chooser’s bid must list every single piece that he/she considers to be a fair share

  5. Lone-Divider Method Step 3: (________________) Who gets which piece? *Take a look at the bids, who consider’s which pieces to be fair? *If three people are dividing S, what percentage is a fair share? _________________

  6. Example Demark

  7. Example Justin How do we decide what is fair? Both Liz and Liam think _______ is the only fair piece.

  8. Lone-Chooser Method • One player is a chooser, the other players are dividers • The chooser will be called ____, the dividers will be called ____ and ______.

  9. Lone-Chooser Method Step 1: (_____________) D1 and D2 divide S into two fair shares. Use the Divider-Chooser method to do so. Step 2: (_____________) Each divider divides his share into three sub shares(s1a, s1b, s1c) and (s2a, s2b, s2c). Step 3: (_____________) The chooser C selects one of D1’s three sub shares and one of D2’s three sub shares. These two shares make up C’s final share.

  10. Pineapple or Orange? I will now pass out pineapple/orange cakes to each group of 3. Each person will receive their preference, keep it a secret. For scenario #1, player 3 will be the chooser. For scenario #2, player 2 will be the chooser

  11. Homework • Lone-Divider WS • P. 109-110( 33, 34)

More Related