James--

Yes, the result of the 1st election is as you said. I don't know how I got a different result, but
I probablly didn't include the RLC voters and the LRC voters. I probably just asked "How many of these are voting for C as a compromise?"


In the 2nd election,, with the same candidates or their parties, the RCL voters, having noticed that R outpolled L in the 1st election, might decide not to vote for C. But the L voters will have noticed that too, and so the half of the LCR voters who'd not voted for C would have good reason to vote for him. '

Anyway, if they didn't, and R won, then they'd do so in the next election, and the ones after that, and C would keep winning.

One thing that I wanted to mention is that my demonstration about that seemed pretty convincing: Favorite is the voter median candidate. Believing that Sleazy is needed to beat Worst, everyone preferring Sleazy to Worst votes for Sleazy and not for Worst. Because Favorite is the voter medilan candidate, a majority prefer him to Worst. Favorite is betweent them and Worst. So Favorite outpolls Worst. So that majority know that they don't need to vote for Sleazy in order to beat Worst. But Sleazy outpolls Favorite, and if there's some lesser-evil between Favorite & Sleazy, Sleazy could become the greater-evil. But the same thing would happen again in the next election, and that new lesser-evil would be shown to be unneeded for beating Sleazy. Etc. As I said, soon Favorite would be winning, and would keep winning every time.

That assumes a 1-dimensional political spectrum, a 1-dimensional issue-space. I don't know whether that is needed in order for a demonstration like that to work. Maybe you or someone else could show that Approval does or doesn't necessarily home in on the voter median when there are more than 1 issue dimension.

By the way, those LRC voters and RLC voters aren't really a fair thing to includle.

Mike Ossipoff

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