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Easy enough: (1) You choose any method, (2) if you hit the paradox you declare the result as invalid, (3) there is only ice cream after a valid vote, and (4) if
by erikb 10y ago
Easy enough: (1) You choose any method, (2) if you hit the paradox you declare the result as invalid, (3) there is only ice cream after a valid vote, and (4) if there's no ice cream yet goto step 2.
Now the worst case is not that you make a few people unhappy (the majority), but the worst case is that people start killing each other in the hopes to change the result. But if you think about it that is also not a bad result, since then there is more ice cream for you.
- MichaelBurge 10y agoIn the last method, how do you detect if you've hit a paradox given only a single election? It only shows up if you change the options and make everybody fill out a new ballot.
- marme 10y agoit is always visible he just used the change to illustrate a normal case and a paradox case. If the results of the second vote had been the only vote you would be able to see the paradox was there by examining peoples rankings
- nothrabannosir 10y agoI like your optimism! Unfortunately, when Arrow got the nobel prize for proving that there is no way to avoid this, it's possible that your solution was considered... For example: there is no upper bound on the loop. Why would anyone change their vote when you retry? I.o.w. you might be voting and getting the same result forever. :/
- erikb 10y agoThere is an upper bound to the loop. People die. People lose interest (thereby changing the population). People get annoyed and thereby more willing to do stuff to change. Not mathematically provable, but works in most situations because humans are adaptable. *edit: I feel a little disappointed that people don't seem get the humor in my post. Maybe dying because people voted chocolate ice cream but you wanted vanilla is a reasonable scenario for some.