Phragmns Sequential Rule 1894 - Election Process Explained
Phragmns Sequential Rule, introduced in 1894, outlines the process of electing committee candidates by filling voters' virtual bank accounts until a candidate garners $1 in total support. This continues until a set number of candidates have been elected. The rule dictates the cost and method of electing candidates in a systematic manner.
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Presentation Transcript
Phragmns Sequential Rule (1894) It costs $1 to elect a candidate to the committee. Each voter has a virtual bank account, initially empty. We slowly fill up the bank accounts until some candidate has supporters who have $1 in total. We elect such a candidate and take the supporters money away. Finish when k candidates have been elected.
? = 12 4 4 5 5 6 6 10 10 14 14 18 18 3 3 9 9 13 13 17 17 2 2 8 8 12 12 16 16 1 1 7 7 11 11 15 15 ?1 ?1 ?2 ?2 ?3 ?3 ?4 ?4 ?5 ?5 ?6 ?6
? = 12 4 4 5 5 6 6 10 10 14 14 18 18 3 3 9 9 13 13 17 17 2 2 8 8 12 12 16 16 1 1 7 7 11 11 15 15 ?1 ?1 ?2 ?2 ?3 ?3 ?4 ?4 ?5 ?5 ?6 ?6
? = 12 4 4 5 5 6 6 10 10 14 14 18 18 3 3 9 9 13 13 17 17 2 2 8 8 12 12 16 16 1 1 7 7 11 11 15 15 ?1 ?1 ?2 ?2 ?3 ?3 ?4 ?4 ?5 ?5 ?6 ?6
? = 12 4 4 5 5 6 6 10 10 14 14 18 18 3 3 9 9 13 13 17 17 2 2 8 8 12 12 16 16 1 1 7 7 11 11 15 15 ?1 ?1 ?2 ?2 ?3 ?3 ?4 ?4 ?5 ?5 ?6 ?6
? = 12 4 4 5 5 6 6 10 10 14 14 18 18 3 3 9 9 13 13 17 17 2 2 8 8 12 12 16 16 1 1 7 7 11 11 15 15 ?1 ?1 ?2 ?2 ?3 ?3 ?4 ?4 ?5 ?5 ?6 ?6
? = 12 4 4 5 5 6 6 10 10 14 14 18 18 3 3 9 9 13 13 17 17 2 2 8 8 12 12 16 16 1 1 7 7 11 11 15 15 ?1 ?1 ?2 ?2 ?3 ?3 ?4 ?4 ?5 ?5 ?6 ?6
? = 12 4 4 5 5 6 6 10 10 14 14 18 18 3 3 9 9 13 13 17 17 2 2 8 8 12 12 16 16 1 1 7 7 11 11 15 15 ?1 ?1 ?2 ?2 ?3 ?3 ?4 ?4 ?5 ?5 ?6 ?6
? = 12 4 4 5 5 6 6 10 10 14 14 18 18 3 3 9 9 13 13 17 17 2 2 8 8 12 12 16 16 1 1 7 7 11 11 15 15 ?1 ?1 ?2 ?2 ?3 ?3 ?4 ?4 ?5 ?5 ?6 ?6
? = 12 4 4 5 5 6 6 10 10 14 14 18 18 3 3 9 9 13 13 17 17 2 2 8 8 12 12 16 16 1 1 7 7 11 11 15 15 ?1 ?1 ?2 ?2 ?3 ?3 ?4 ?4 ?5 ?5 ?6 ?6
? = 12 4 4 5 5 6 6 10 10 14 14 18 18 3 3 9 9 13 13 17 17 2 2 8 8 12 12 16 16 1 1 7 7 11 11 15 15 ?1 ?1 ?2 ?2 ?3 ?3 ?4 ?4 ?5 ?5 ?6 ?6
? = 12 4 4 5 5 6 6 10 10 14 14 18 18 3 3 9 9 13 13 17 17 2 2 8 8 12 12 16 16 1 1 7 7 11 11 15 15 ?1 ?1 ?2 ?2 ?3 ?3 ?4 ?4 ?5 ?5 ?6 ?6
? = 12 4 4 5 5 6 6 10 10 14 14 18 18 3 3 9 9 13 13 17 17 2 2 8 8 12 12 16 16 1 1 7 7 11 11 15 15 ?1 ?1 ?2 ?2 ?3 ?3 ?4 ?4 ?5 ?5 ?6 ?6
