Understanding Voting for Committees Using Wreath Products
In this thesis, we construct an algebraic framework for analyzing committee elections. In this framework, module homomorphisms are used to model positional voting procedures. Using the action of the wreath product group S2[Sn] on these modules, we obtain module decompositions which help us to gain a...
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| Format: | Others |
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Scholarship @ Claremont
2010
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| Online Access: | https://scholarship.claremont.edu/hmc_theses/23 https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1023&context=hmc_theses |
| Summary: | In this thesis, we construct an algebraic framework for analyzing committee elections. In this framework, module homomorphisms are used to model positional voting procedures. Using the action of the wreath product group S2[Sn] on these modules, we obtain module decompositions which help us to gain an understanding of the module homomorphism. We use these decompositions to construct some interesting voting paradoxes. |
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