1.3 more group ranking and paradoxes ms. magne discrete math
TRANSCRIPT
1.3 More Group Ranking and Paradoxes
Ms. Magne
Discrete Math
Group Ranking
• Condorcet Winner – the winner is the choice that wins over every other choice individually
1st A B C D2nd B C B B3rd C D D C4th D A A A
8 5 6 7
A B C D
A
B
C
D
1st A B C D2nd B C B B3rd C D D C4th D A A A
8 5 6 7
The Condorcet Winner is _____.B
Group Ranking
• Paradox – When what happens in contrary to logic/intuition.
Ex. A beats B and B beats C. Who would your expect to win between A and C?
We would expect A to beat C, but like to example previously done, this is not always the case.
Group Ranking
• Pairwise Voting – two choices are selected and a vote is taken, the loser is eliminated and a new vote is taken between the winner and a new choice. This process continues until all but one has been eliminated.
Group Ranking
• Find the Pairwise winner using the following order: BCAD.
1st A B C D2nd B C B B3rd C D D C4th D A A A
8 5 6 7
The Pairwise Winner is _____.B