Difference between revisions of "Essential Questions"

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Line 28: Line 28:
 
  Condorcet Winners must not lose with certainty
 
  Condorcet Winners must not lose with certainty
 
   ++  ?
 
   ++  ?
  The Approval Winner must not lose with certainty
+
  Approval Winners must not lose with certainty
 
     +  ?
 
     +  ?
 
   
 
   
Line 35: Line 35:
 
  A Condorcet Loser must not win unless s/he is an Approval Winner
 
  A Condorcet Loser must not win unless s/he is an Approval Winner
 
   ++  ?  
 
   ++  ?  
  A Condorcet Loser must have winning probability less than 1/2
+
  Condorcet Losers must have winning probability less than 1/2
 
     +  ?
 
     +  ?
 
  Approval Losers must not win
 
  Approval Losers must not win
Line 47: Line 47:
 
  Cloning must not affect the other candidates' winning probabilities
 
  Cloning must not affect the other candidates' winning probabilities
 
   ++  ?
 
   ++  ?
 +
 +
Raising X on one ballot without changing anything else must not decrease X's winning probability
 +
  ++  ?
 +
Adding a ballot which only ranks X must not decrease X's winning probability
 +
  ++  ?
 +
Adding a ballot saying "X>(whatever)" must not decrease X's winning probability
 +
    ?  ?
 +
Changing a ballot which only ranks X to "X>(whatever)" must not decrease X's winning probability
 +
    -  ?

Revision as of 23:37, 10 June 2005

This is under construction and will be announced soon on EM-list.


LEGEND

++  I agree strongly
 +  I rather agree
 0  I am indifferent about this
 -  I rather disagree
--  I disagree strongly

 ?  I am undecided about this


STATEMENT
  DEGREE OF AGREEMENT BY... (INITIALS)
  JH ??

Pairwise preference information should be used
   +  ?
Approval information should be used
  ++  ?
Cardinal ratings information should be used
   -  ?

Condorcet Winners must win with certainty
   -  ? 
Condorcet Winners must not lose with certainty
  ++  ?
Approval Winners must not lose with certainty
   +  ?

Condorcet Losers must not win
   ?  ?
A Condorcet Loser must not win unless s/he is an Approval Winner
  ++  ? 
Condorcet Losers must have winning probability less than 1/2
   +  ?
Approval Losers must not win
   -  ?
An Approval Loser must not win unless s/he is a Condorcet Winner
   +  ?

The winner must belong to the Smith/Gotcha/Getcha/Top Set
   -  ?

Cloning must not affect the other candidates' winning probabilities
  ++  ?

Raising X on one ballot without changing anything else must not decrease X's winning probability
  ++  ?
Adding a ballot which only ranks X must not decrease X's winning probability
  ++  ?
Adding a ballot saying "X>(whatever)" must not decrease X's winning probability
   ?  ?
Changing a ballot which only ranks X to "X>(whatever)" must not decrease X's winning probability
   -  ?