[EM] Path Voting Algorithm

Paul Dumais paul at amc.ab.ca
Fri Jun 11 11:20:30 PDT 1999

Markus Schulze wrote:
> Dear Paul,
> you wrote (11 Jun 1999):
> > Does anyone have a path voting algorith that they could post here? I'm
> > trying to code a MatLab program that runs path voting and Dumais voting
> > algorithms. I've just about got the Dumais algorithm figured out. It
> > seems that building a pair wise matrix is difficult. Dumais doesn't need
> > to build a pair wise matrix so, I've done it a different way.
> >     The difficulty in building a pair wise matrix is that even if you have
> > a vector (of size C! - almost 40 million with just C=11 candidates)
> > which represents the votes how do you code using loops etc so that you
> > can add the right elements that produce a particular pair wise entry? It
> > might be simpler to have an input matrix where the elements are the
> > margins or the borda scores. The columns could represent the candidates
> > while the rows would represent each vote. I'm doing it this way for
> > Dumais voting (but not creating a pair wise matrix). To get the
> > pair-wise matrix, we would iterate over the C(C-1)/2 possible pairs,
> > compare and sum. The matrix could then be used compute the (many?!)
> > paths to each opponent for each candidate. OK, I'm getting lost now. How
> > do you write an algorith that computes all possible paths? Path voting
> > seems really hard to code. I hope I'm wrong.
> >     I'll work on it this weekend. If anyone has done this work already,
> > please e-mail me on this list or at pdumais at powersurfr.com.
> What is wrong with that algorithm I have posted yesterday?

Woops! Sorry, it looks good so far. I'll try it; thanks. Do you have the
matrix creation algorithm as well?
Are these algorithms posted on the web? I'll post my Matlab programs on
this list when I'm done (if anyone's interested).

Paul Dumais

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