[EM] Ronald Tannenwald's example

[Donald E Davison]

Dear Ronald Tannenwald,

     Thank you for chiming in.

     As I understand the Salva method, I think candidate B is to be the
Salva Voting winner of your example.
     If a candidate loses the lead position then different candidates are
to have choice/votes transferred in the next cycle of transfers. The
candidate that lost the lead is to have his next available choices
transferred in the next cycle of choice/vote transfers. And the candidate
that takes the lead will not have any choice/votes transferred in the next
cycle of transfers.
     I will show in your example as follows:

              A-B        B-C-D         C-B-D
              49%         25%           26%
First cycle of transfers will have B giving C 25% and C will give B 26%

                         +26%          +25%
             ----        ----          ----
              49%         51%           51%

     Allow me to give one vote to candidate B so that the tie can be broken
and we can complete the example. Candidate B is now the lead candidate with
51% +1 vote.

     The second cycle will transfer the second choices of candidate A and
the third choices of candidate C, as follows:

                    A-B         B-C-D        C-B-D       D
                    49%         51% +1        51%
second transfers                49%                     26%
                   ----        -------       -----     ----
                    49%        100% +1        51%       26%

     Candidate B is the Salva Voting winner.
     Salva Voting has elected the Condorcet winner(whatever that means).

Regards,
Donald Davison

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Donald!

      Consider the following election situation with 4 candidates for a single
position.

     49%      25%      26%
    _____     ____     ____

      A        B         C
      B        C         B
               D         D

    Method     Winner
  ________    _______

  plurality      A

  with runoff    C

  Borda          B

  Condorcet      B

  approval       B

  Hare           C

  Salva          D ??

       If I understand this idea, it isn't even Paretto much less monotonic!

   Respectfully,

Ronald Tannenwald
Chairperson, Mathematics Department
UMass Dartmouth

+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+
 T H E   C O D E   O F   H O N O R   F O R   R E F O R M   A C T I V I S T S

     Any group of reform activists that are thinking about a petition drive
to place a proposal on the ballot are to present their proposal beforehand
to all other reform activists that they know of. The time for debate and
negative comments is before the petition stage. Once the group makes its
final proposal and enters the petition stage, the debates and negative
comments by all reform activists is to cease.
    At this time each activist is to make an honest evaluation. If the
initiative will improve government then each activist is to find it in his
heart to support the initiative, even if it is not exactly what the
activist would like.

   +=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+
   |                         Q U O T A T I O N                         |
   |  "Democracy is a beautiful thing,                                 |
   |       except that part about letting just any old yokel vote."    |
   |                            - Age 10                               |
   +=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+

                            N E W S L E T T E R

                    Worldwide Direct Democracy Newsletter
                     Four Issues per Year by Postal Mail
             Cost per year: Czech Republic 200 Kc,  Europe 12 DM
                          Outside of Europe  $10

              Make check payable to: Account Number 13164-30-01
              Mail to:  (Polak Jiri,ded)
                        Ceska sporitelna, a.s.
                        Jugoslavska 19
                        Praha2,  Czech Republic
          - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
                         N E W    D E M O C R A C Y
              A Source of Study Material for Political Change

                        http://www.mich.com/~donald
          - - - - - - - - - - - - - - - - - - - - - - - - - - - - -