Which of the following is true about weighted majority votes? 1. We want to give higher weights to better performing models 2. Inferior models can overrule the best model if collective weighted votes for inferior models is higher than best model 3. Voting is special case of weighted voting

1 and 3
2 and 3
1 and 2
1, 2 and 3

The correct answer is: C. 1 and 2

  • Option 1 is true because we want to give higher weights to better performing models so that they have a greater influence on the overall decision.
  • Option 2 is true because inferior models can overrule the best model if collective weighted votes for inferior models is higher than best model. For example, if there are three models, A, B, and C, and A is the best model but B and C are inferior models, then B and C can overrule A if the collective weighted votes for B and C is higher than the weighted vote for A.
  • Option 3 is false because voting is not a special case of weighted voting. In voting, each voter has one vote, while in weighted voting, each voter can have multiple votes.

Here is a more detailed explanation of each option:

  • Option 1: We want to give higher weights to better performing models so that they have a greater influence on the overall decision. This is because better performing models are more likely to make correct decisions, so we want to give them more weight so that their decisions are more likely to be the final decision.
  • Option 2: Inferior models can overrule the best model if collective weighted votes for inferior models is higher than best model. For example, if there are three models, A, B, and C, and A is the best model but B and C are inferior models, then B and C can overrule A if the collective weighted votes for B and C is higher than the weighted vote for A. This is because the collective weighted votes for B and C represent a greater number of people, and so their decisions are more likely to be the final decision.
  • Option 3: Voting is not a special case of weighted voting. In voting, each voter has one vote, while in weighted voting, each voter can have multiple votes. This means that in voting, all voters have equal weight, while in weighted voting, voters can have different weights.