[email protected] wrote:
Suppose that we have a method that satisfies independence form covered alternatives, and that gives greater winning probability to alternative B in this scenario

40 B>C>A
30 C>A>B
30 A>B>C

than in this scenario

40 D>B>C
30 B>C>D
30 C>D>B

as any decent method would.

Could one make a deliberately perverse method that would return bad results but would technically pass both independence from covered alternatives and monotonicity, or is it possible to make an absolute incompatibility proof?
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