Consider a modified Borda count where a first-place vote is worth F points (F > N where N denotes the number

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Consider a modified Borda count where a first-place vote is worth F points (F > N where N denotes the number
of candidates) and all other places in the ballot are the same as in the ordinary Borda count: N − 1 points for second place, N − 2 points for third place, . . . , 1 point for last place. By choosing F large enough, we can make this variation of the Borda count method satisfy the majority criterion. Find the smallest value of F (expressed in terms of N ) for which this happens.

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