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Electing a committee introduces constraints beyond excellence, such as ensuring a balance of gender, tenure, talent, and other characteristics. The difficulties are captured by an actual example where every voter desired gender diversity on a committee and voted accordingly, but only men were...
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It is shown that the source of Sen's and Arrow's impossibility theorems is that Sen's Liberal condition and Arrow's IIA counter the critical assumption that voters have transitive preferences. But if the procedures are not permitted to treat the transitivity of individual preferences as a valued...
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Using Brams and Fishburn's report and data, the SC&W election is analyzed with an emphasis on explaining the theoretical reasons for the conflicting outcomes. In the process, some new results are obtained.
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