Fabrizio Cariani

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176 appearances 1 recordings 1 series first heard Jul 2010 last heard Jul 2010

Fabrizio Cariani’s voice in public audio — every appearance, attributed to the second.

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Elucidations · Episode 13: Fabrizio Cariani discusses judgment aggregation · 9 Jul 2010 podcast

And you could believe that they should be in the same city and they should both be in bond.

So imagine two different panels.

One panel believes that the parliament and government should be in the same city and they're unanimous on what the reasons they want to produce for that.

They all believe let's say it should be in Berlin or they should be in Berlin.

The other panel, instead, is split on the questions of where they should be, but they agree that they should be in the same city.

So let's say some voters in the panel think parliament and government should be in Berlin, some other voters believe that parliament and government should be in Bonn.

The independence constraint means that there is no difference between these two panels, insofar as the question of whether parliament and government should be in the same city.

There is equal support for that.

And so one way of criticizing that principle is to think in one case the fact that the individuals have undermining reasons for the belief that they should be in the same city makes their agreement much less weak than in the case in which they're also unanimous on the reason.

Whereas independence tells us we shouldn't care about the reasons they produce for that belief.

We should just care about what their opinion on the particular belief is.

So the other problem with independence is that as I was mentioning before, much of the methodology in this field is to consider various sets of constraints and see which ones are compatible and which ones are not compatible with each other.

Now, in many of the results of the form such and such constraints are incompatible.

Independence is actually involved.

So in independence is in some sense a possible culprit for results of the form, say four or five desirable constraints on what an aggregation rule could possibly be are not collectively satisfiable.

So that's another reason I think to reject independence in general.

Now, this constraint thing is a little complicated though, because there are gonna be results of this form even without independence.

So even without independence, you can put together an argument that things that we desire in an aggregation rule cannot be collectively satisfied.

So what it seems to me is that that is a little bit of motivation for thinking that.

That there are multiple rules that in general are equally good candidates, and that in any specific case, what we do is we figure out what kinds of constraints are required by the particular situations we're trying to represent.

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