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1.3 More Group Ranking and Paradoxes

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 D 2nd B C B B 3rd C D D C 4th D A A A 8 5 6 7. 1st A B C D 2nd B C B B 3rd C D D C 4th D A A A

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1.3 More Group Ranking and Paradoxes

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  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 A B C D 2nd B C B B 3rd C D D C 4th D A A A 8 5 6 7

  3. 1st A B C D 2nd B C B B 3rd C D D C 4th D A A A 8 5 6 7 B The Condorcet Winner is _____.

  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 A B C D 2nd B C B B 3rd C D D C 4th D A A A 8 5 6 7 B The Pairwise Winner is _____.

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