[EM] Markus' request

Markus Schulze markus.schulze at alumni.tu-berlin.de
Thu Feb 17 15:07:31 PST 2005


Dear Ted,

Jobst Heitzig wrote (12 Jan 2005):
> A set A is a covering set if each candidate x from outside
> A is covered in A+{x}. In other words, if for each x from
> outside A there is some y in A with y>x but no z in A
> with x>z>y. The minimal covering set is the intersection
> of all covering sets.

Situation #1:
(The defeats are sorted according to
their strengths in a decreasing order.)

  D > A
  A > B
  B > C
  C > A
  C > D
  B > D

Situation #2:

  A > C
  D > A
  A > B
  B > C
  C > D
  B > D

If I understand this definition correctly, then the Dutta
set is {A,B,C} in situation #1 and {A,B,D} in situation #2.
Therefore, Dutta//MinMax chooses candidate A in situation #1
and candidate D in situation #2 so that monotonicity is
violated.

Is everything correct?

Markus Schulze



More information about the Election-Methods mailing list