1. 1.3 More Group Ranking and Paradoxes Ms. Magne Discrete Math

2. Group Ranking Condorcet Winner – the winner is the choice that wins over every other choice individually 1st ABCD 2ndBCBB 3rdCDDC 4thDAAA 8567

3. ABCD A B C D 1st ABCD 2ndBCBB 3rdCDDC 4thDAAA 8567 The Condorcet Winner is _____. B

4. 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.

5. 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.

6. Group Ranking Find the Pairwise winner using the following order: BCAD. 1st ABCD 2ndBCBB 3rdCDDC 4thDAAA 8567 The Pairwise Winner is _____. B