[EM] criteria questions

[Jobst Heitzig]

Dear James and Paul,

James:
>>2. Does the Condorcet criterion plus the independence of 
>>clones criterion imply the Smith criterion?

Paul:
> 2.) Does the Smith criterion imply the Condorcet and independence of clones
> criteria?

Neither is true:

Rule a: Picks the Condorcet Winner if it exists, otherwise determine
which candidates are defeated *most* often and pick one of them at
random. Fulfils Condorcet Criterion and Independence of Clones, but
certainly not the Smith criterion.

Rule b: The candidate with the smallest sum of defeat strengths against
her wins. Fulfils Smith (and hence Condorcet), but not Independence of
Clones.

Jobst