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<div><pre><b>Peter de Blanc wrote:<br>
<br>
</b>> The more general criterion which Hay Voting satisfies is this: we<br>
> want a voting method such that, given a probability distribution for how <br>
> the other voters will vote, the mapping from utility functions to<br>
> optimal voting strategies is injective. In the original formulation of<br>
> Hay Voting, this mapping does not depend on the probability<br>
> distribution. In a deterministic (or "semi-deterministic") method, the<br>
> mapping would have to depend on this probability distribution. In either<br>
> case it has to be injective if we want to discover what the voters<br>
> really want.<span style="font-family: "Verdana";"><br>
<br>
<br>
Presumably, it should also tend to elect the candidate with the highest total utility. <br>
However, it would be recognised that there is a tradeoff between accurately revealing<br>
the utility functions and ensuring the candidate with the highest utility wins.<br>
<br>
The issue of how to sum utility over an entire society is also raised. How do you relate<br>
one point of utility between two people.<br>
<br>
It occurs to me that when taking probabilities into account, the two candidate who tie are<br>
also relevant. If the top 2 are both similar utility, then a voter may not want to waste<br>
votes to separate them.<br>
<br>
In any case, the result will only give relative utility of some kind. All utilities could be <br>
multiplied by a constant and the voter would still vote the same way.<br>
<br>
The economic solution would be to allow voters to buy additional voting weight. However,<br>
that would likely be resisted for philosophical reasons.<br>
</span></pre></div>
<div> </div>
<div style="clear: both;">Raphfrk<br>
--------------------<br>
Interesting site<br>
"what if anyone could modify the laws"<br>
<br>
www.wikocracy.com</div>
<br>
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