1. 1.5 – Weighted Voting and Voting Power

2. Weighted Voting and Voting Power
The first four lessons of this chapter examined situations in which all voters are considered equals. This lesson examines situations in which some voters have more votes than other voters.

3. TONIGHT’S HOMEWORK
P.32 #13A, B
P.39 #1A
P52#14a

4. Definition: WEIGHTED VOTING
Weighted voting occurs whenever some members of the voting body have more votes than the others do.

5. Spiderman, Captain America and The Hulk need to help Batman save Gotham City by joining forces. Alone, Batman does not have enough power to get the job done.

7. However, with help from each superhero, each having different amounts of superhero power available to them, Batman knows they can form coalitions . Can they join forces and save the city from destruction? Make a list of all POSSIBLE COALITIONS!

8. A coalition is a collection of voters

9. Reach inside the envelope and choose the superhero you will be today!

10. Help Batman determine all of the different coalitions possible
Help Batman determine all of the different coalitions possible. Use: B = Batman S = Spiderman H = The Hulk C = Captain America Hint: a coalition can have as few as NO One and as many as everyone and any amount in between

11. Possible Coalitions = 16 { } {B} {B,S}{B,S,H} {B,H,S,C}
{S} {B,H} {B,S,C}
{H} {B,C} {B,H,C}
{C} {S,H} {H,C,S} {S,C}
{H,C}

12. HOW MUCH POWER DO YOU HAVE?

13. 1 SPECIAL POWER

14. 2 special powers

15. 3 Special Powers

16. 4 Special Powers

17. A Winning coalition is a coalition that has enough powers to save the city. It has been determined that the city can only be saved with 6 or more special powers working together. Go back to all of the coalitions and determine which coalitions have enough special powers together to save Gotham City!

18. Definition: Winning Coalition
A winning coalition has enough votes, usually a majority, to win an election

19. Don’t forget your number of special powers.
Can you help Batman save
Gotham City?????

20. Winning Coalitions are:
{ } {B=1} {B,S=3}{B,S,H=6} {B,H,S,C=10}
{S=2} {B,H=4} {B,S,C=7}
{H=4} {B,C=5} {B,H,C=8}
{C=4} {S,H=5} {H,C,S=9} {S,C=6} {H,C=7}

21. APPROVAL VOTING
In approval voting you may vote for as many choices as you like , BUT YOU DO NOT RANK THEM!
For example, if there are 5 choices, you may vote for as few as none or as many as five!

22. You and your friends want to go to dinner before the variety show
You and your friends want to go to dinner before the variety show. You send a text and ask your friends to respond to which type of food they would be willing to eat. Your choices are: FRENCH – ITALIAN – MEXICAN - CHINESE

23. Here are the results of how your friends voted:
FRENCH
ITALIAN
MEXICAN
CHINESE
YOU X
JOE
SUE
MOE
NATE
BOB
BEN

24. How do you think we will rank the restaurants in 1st through 4th places?

25. Here are the results of how your friends voted:
FRENCH
ITALIAN
MEXICAN
CHINESE
YOU X
JOE
SUE
MOE
NATE
BOB
BEN

26. 1st – ITALIAN 2ND – FRENCH 3RD-MEXICAN 4TH - CHINESE

27. The voters whose preferneces are below all feel very strongly about their top 3 choices, but are not sure about their 4th and 5th rankings. So they decide to only approve of their top three. Who is the approval winner?

29. TONIGHT’S HOMEWORK
P.32 #13A, B
P.39 #1A
P52#14a