Peter and all,

It is not clear to me how -- or even whether -- the concept of social welfare functions applies to the composition of a legislative body. I don't see how electing a legislature is a "decision" in the sense in which that term is used in welfare economics. Electing an executive officer can be viewed as a decision in a welfare economics framework. Electing single legislators to "represent" geographically defined districts can be viewed as a set of decisions, one decision per district. But that requires you to put quotation marks around the word "represent" since such bodies are not really representative of people except by accident.

--Bob Richard


Peter Zbornik wrote:
Dear Jameson,
yes your argument is similar to the one of Terry Bouricius ("the wisdom of crowds", and yes it is a good one. Diversity also has an appeal to a diverse set of voters, allowing for improvements in voter preferences.
That is a good line of argument, thanks.
A very nice argument for proportional elections would be one founded in welfare economic theory. That would be very interesting at least for me, and I quess this argument should not be too difficult to formulate for elections (but I have no clue how) I am not sure if the resulting argument would be interesting for normal party members, but I think it is an important and very fundamental question to answer. I have seen technical arguments flying around in this forum (Bayesian regret, socially optimal pareto fronts, and Kristian's intruigung graph at: http://munsterhjelm.no/km/elections/multiwinner_tradeoffs/), which I haven't been able to understand. What I do understand is that we have a preference ordering when voting, which can be used in social welfare functions (see http://aede.osu.edu/programs/Anderson/trade/Welfare5rev.pdf, page 8 and on). Maybe it can be shown that proportional elections are better than winner-takes-it-all elections for a wide range of social welfare functions. _Some wild speculation about things I don't understand very well:_ Selecting a social welfare function (i.e. selecting between a utiltarian, bernoulli-nash or rawlsian social welfare function) can indeed be a voting task itself. I just don't have the proper training in economy to understand the details, like the publication below: I quote a publication I found: "The isoelastic SWF [see the publication /PZ comment/] takes on a number of familiar foms depending on the value of */p. /*When */p /*=O, it is the classical utilitarian. The limit as p-1 is the Bernoulli-Nash *(linear *in the logarithms). *And *as */p-m, /*it is the Rawlsian maximin fom. These cases are characterized by the shape of the social indifference curves shown in Figure 2.1. Because it is a function (i.e. the inverse) of the elasticity of substitution along *these *indifference curves. p reflects society's willingness to made-off utility berween individuals. *A *greater value of */p /*reflects greater social aversion to inequality . Therefore, */p /*may be considered an equity parameter, chosen by consensus or some other political means."(see page 24-25 in _https://tspace.library.utoronto.ca/bitstream/1807/10891/1/NQ27722.pdf_) Threse publications seems to be on a path which could have something to do with voting (selects the bernoulli-nash social welfare function): Economic analysis and distributive justice, page 49: http://people.ku.edu/~dburress/econ-ana.pdf <http://people.ku.edu/%7Edburress/econ-ana.pdf>
Page 9: http://www.cherry.gatech.edu/mod/pubs/proceed3/c14_burr.pdf
Isoelastic function again: Page 9, equation 10: http://www.mi.uni-hamburg.de/fileadmin/fnu-files/publication/tol/ereaggregation.pdf (there is even a maximin function) I personally like the Bernoulli-Nash welfare function on page 13, as it has good properties, where the utilities are multiplied instead of added (i. the form is the same as the other functions in the Pareto framework ii. it gives logaritmic weighs to utility by multiplying them efficiently preferring more "equal" utility distributions without demanding that utility should be distributed equally). Samuelson and Bergson proposed the Bernoulli-Nash social welfare function themselves. Ok, I am not sure if I made things clear or not, i touched (very lightly) upon this stuff in my studies. Seems to be an area which is not well understood. Best regards
Peter Zborník

On Wed, May 19, 2010 at 5:55 PM, Jameson Quinn <[email protected] <mailto:[email protected]>> wrote:

    The whole point of having a representative body is that it
    represents the diversity of an organization. It's not just a
    matter of diversity of opinion; it's a diversity of strengths, of
    outlooks, of focus, which makes the organization stronger than any
    one person. A non-proportional system tends in the other
    direction, of electing N clones of the same bland majority
    candidate. Selecting only for broad appeal means selecting only
    for bland schmoozing; certainly a valuable skill in politics, but
    not the only skill you want your party to cultivate.
Is that a good start? Jameson Quinn

    2010/5/19 Peter Zbornik <[email protected]
    <mailto:[email protected]>>

        Dear all,
just a post scriptum to the email below to make things clear:
        I wonder if there is a short and to the point argument for
        dummies, why proportional elections (say elections meeting the
        droop quota) leave the voters happier than winner-takes it all
        elections.
        This "for dummies" explanation of the advantages of
        proportional voting could be combined with a longer technical
        explanation, perhaps using social welfare functions. for
        people with time and interest to understand the argument in full.
I don't mean that the argument above would be the best
        argument, but it could be a really interesting one.
Best regards
        Peter Zborník

        On Wed, May 19, 2010 at 4:58 PM, Peter Zbornik
        <[email protected] <mailto:[email protected]>> wrote:

            Dear Kristoffer, dear readers,
Kristofer, you wrote below: "A minor opinion within the
            party might need time to grow, and might in the end turn
            out to be significant, but using a winner-takes-it-all
            method quashes such minority opinions before they get the
            chance."
Thanks, yes I have used this line of argument a lot (we
            actually have a global charter of the greens, according to
            which the greens are obliged to put the same principles
            into practice in thei organizations as they work for in
            society).
            The problem is, that this argument does not "stick", it is
            simply not sexy.
Would it be possible to measure the "utility"
            or "happiness" among the voters in the party compared to
            different election methods. I saw you Kristofer did some
            work on this but I didn't understand it, I guess I lack
            the preliminaries.
I guess the notion of "Bayesian regret" or something
            similar could be used to argue that proportional elections
            are better than block-voting, but I have no idea of how to
            explain this, as I don't know the subject at all (pareto
            optimal social allocations, or whatever).
It seems intuitive that economic tools could be used (I
            know almost no economics), since ranked ballot elections
            simply are explicitly stated preference orderings.
I guess that voting and elections, could be indeed one of
            the best imaginable real-world examples, where preference
            orderings of the actors actually are known, and thus all
            of the machinery of economic equilibria and social welfare
            functions could be applied (like the Bernoulli-Nash social
            welfare function).
I am personally interested in the possiblity of measuring
            utility, is there some (preferably short) literature
            on social welfare, utility and voting theory for
            proportional elections (I know some undergrad maths and
            statistics)?
Best regards
            Peter

            On Tue, May 18, 2010 at 1:03 PM, Kristofer Munsterhjelm
            <[email protected] <mailto:[email protected]>> wrote:

                Peter Zbornik wrote:

                    Dear all,
                     thank you for your help with the election system
                    for the council elections of the green party.
                    I will try to move on with technical testing of
                    Schulze's methods and the specification of the
                    elections to the party lists as soon as time allows.
                    Thanks all for the support and all methods supplied.
                    I never could imagine that I would get such a
                    response.
                    When advocating proportional elections in the
                    party, I have found it difficult to explain to
                    other members of the green party why proportional
                    elections to our party organs is a good thing.


                As far as I remember, your party, the Czech Green
                Party, is a minor party. Therefore, it might be
                possible to draw an analogy to the proportional
                methods used by the Czech Republic itself. Without
                proportional representation, the Green Party would
                have next to no chance of ever getting into
                parliament. However, since your nation does use
                proportional representation, there is some chance.

                The same argument could be used within the party.
                Since the Green Party is a minor party, I reason that
                the party membership honestly believes the presence of
                that party is a good thing. Thus, they would also know
                (to some extent, at least), that minor groups of
                opinion - like their own party in comparison to the
                major parties - can be good and can add valuable ideas
                to governance. Then could not the same argument be
                used for the party itself? A minor opinion within the
                party might need time to grow, and might in the end
                turn out to be significant, but using a
                winner-takes-it-all method quashes such minority
                opinions before they get the chance.




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