Hi Adrian-- Here are the corrections to the article "Properties, Part 1: Remarkable Properties of Simplest Voting System". With these corrections, that article will be perfecty right:
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 1. In the article's 2nd paragraph, in that paragraph's 1st sentence, ...replace "Approval is, in its worst case," with "Approval's worst case" ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 2. Under the heading "1. Kinds of Properties:", ...under the sub-heading "c) Social Optimizations:" the 8th word should replace "as" with "is". ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ 3. Under the heading "2. List of Some Pass/Fail Criteria That Will Be Used (Without Definitions):", Replace: "Plurality Critrerion" ...with "Plurality Criterion" (all one line) And, in the list-entry "Mono-Add-Plum", add a "p" to the end, to make it "Mono-Add-Plump". (In Australia, to "plump" means to rank only one candidate.) ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 4. Under the heading "3. Cast of Characters:...", Delete the list entries below "Majority-Judgment" (I decided that, for clarity, I'll only cover the voting-systems mentioned in the Declaration) ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 5. Under the heading "4. Methods, with Definitions, Properties, Criterion-Compliances, and Criterion-Failures:", ...a few paragraphs down, where it says, "Definition of Score", ...add a 2nd sentence: "The winner is the candidate with the highest sum of ratings." ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ 6. A few paragraphs down from there, where it says "Definition of Favorite-Betrayal Criterion (FBC):", Can I replace that definition with something more clearly worded? Could the following definition be pasted in, to replace the existing definition?: To vote a candidate at top means to not vote anyone over him/her. The voter should be allowed to vote at top as many candidates as s/he wishes to. If the winner is one of your top-voted candidates, then, if you move an additional candidate to top, that shouldn't change the winner to a candidate not then voted at top on your ballot. [end of Favorite-Betrayal Criterion definition] ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ 7. Farther down, below the drawing of Obama and Romney, ...under the heading "Social Optimizations of Approval and Score:", ...in the last paragraph under that heading, ...in the middle line of that paragraph, beginning "(when optimally-voted...", Replace "an amount" with "amounts". --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 8. Beginning near the bottom of the section headed "Approval's Ease of Impmentation", and continuing down to the heading "Independence from Irrelevant Alternatives Criterion", ...my article is over-written by other text. ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ ---- Election-Methods mailing list - see http://electorama.com/em for list info