>> A voting system is "naive-exag-proof" if its winners do not change when the > labeling of two candidates as "frontrunners" is altered to another two > and all (or in another version, just some, the rest being honest) voters use > naive-exag strategy only. > This is a far weaker notion than Gibbard/Satterthwaite "strategyproof." > > Are there any interesting naive-exag-proof voting systems?
>Systems that allow for continuous vote shifting, where the voters can see the changing results in real time, are naive-exag-proof. In such systems, the differences between perception and reality vanish. A candidate is either a frontrunner, or is not. Labels to the contrary will be ignored, and will have no effect on the results. --not necessarily. Your suggestion can get into a "perpetual oscillatory cycle" without ever reaching a steady state. Some such systems might be immune-to-oscillation though. But certainly not all of them. --And: possible replies to those worried naive-exag-strat is not necessarily "rational" are: (1) in real life, naive-exag-strat is highly used, wheres what the inviligators claim are "rational" strategies, are considerably less common. I made no claim whatever naive-exag-strat was or was not rational. (And I continue to make no claim on that right now, so do not tell me I just did. OK?) I AM claiming that naive-exag-strat is IMPORTANT (and more so than the inviligators notions of rational) hence worth studying. (2) If you want to study rational strategy, there already has been such a study. The concept is called "strategyproofness." The whole point of the study I am suggesting, is to avoid that historical dead-end by NOT considering strategyproofness, but merely immunity to naive-exag-strat. Mind you, even my suggestion might similarly still be a dead-end leading to an impossibility theorem. But that is an open question. I was simply raising the question. -- Warren D. Smith http://RangeVoting.org <-- add your endorsement (by clicking "endorse" as 1st step) and math.temple.edu/~wds/homepage/works.html ---- Election-Methods mailing list - see http://electorama.com/em for list info
