On Measuring Influence in Non-Binary Voting Games
In this note, we demonstrate using two simple examples that generalization of the Banzhaf measure of voter influence to non-binary voting games that requires as starting position a voter’s membership in a winning coalition is likely to incompletely reflect the influence a voter has on the outcome of...
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| Main Authors: | , |
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| Format: | text |
| Language: | English |
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Institutional Knowledge at Singapore Management University
2004
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| Online Access: | https://ink.library.smu.edu.sg/soe_research/826 https://ink.library.smu.edu.sg/context/soe_research/article/1825/viewcontent/Measuring.pdf |
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| Institution: | Singapore Management University |
| Language: | English |
| Summary: | In this note, we demonstrate using two simple examples that generalization of the Banzhaf measure of voter influence to non-binary voting games that requires as starting position a voter’s membership in a winning coalition is likely to incompletely reflect the influence a voter has on the outcome of a game. Generalization of the Banzhaf measure that takes into consideration all possible pivot moves of a voter including those moves originating from a losing coalition will, on the other hand, result in a measure that is proportional to the Penrose measure only in the ternary case. |
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