Positionality-Weighted Aggregation Methods for Cumulative Voting
- URL: http://arxiv.org/abs/2008.08759v2
- Date: Tue, 23 Feb 2021 03:14:32 GMT
- Title: Positionality-Weighted Aggregation Methods for Cumulative Voting
- Authors: Takeshi Kato, Yasuhiro Asa, Misa Owa
- Abstract summary: We propose aggregation methods that give weighting to the minority's positionality on cardinal cumulative voting.
Minority opinions are more likely to be reflected proportionately to the average of the distribution in two of the above three methods.
It is possible to visualize the number and positionality of the minority from the analysis of the aggregation results.
- Score: 0.0
- License: http://creativecommons.org/licenses/by-nc-sa/4.0/
- Abstract: Respecting minority opinions is vital in solving social problems. However,
minority opinions are often ignored in general majority rules. To build
consensus on pluralistic values and make social choices that consider minority
opinions, we propose aggregation methods that give weighting to the minority's
positionality on cardinal cumulative voting. Based on quadratic and linear
voting, we formulated three weighted aggregation methods that differ in the
ratio of votes to cumulative points and the weighting of the minority to all
members, and assuming that the distributions of votes follow normal
distributions, we calculated the frequency distributions of the aggregation
results. We found that minority opinions are more likely to be reflected
proportionately to the average of the distribution in two of the above three
methods. This implies that Sen and Gotoh's idea of considering the social
position of unfortunate people on ordinal ranking in the welfare economics, was
illustrated by weighting the minority's positionality on cardinal voting. In
addition, it is possible to visualize the number and positionality of the
minority from the analysis of the aggregation results. These results will be
useful to promote mutual understanding between the majority and minority by
interactively visualizing the contents of the proposed aggregation methods in
the consensus-building process. With the further development of information
technology, the consensus building based on big data will be necessary. We
recommend the use of our proposed aggregation methods to make social choices
for pluralistic values such as social, environmental, and economic.
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