To "Interuniversitair samenwerkingsinstituut
Sociale Keuze Theorie"
(Members taken from the report 2000)
April 20, 2001
Concerning: Misconduct
Dear colleagues,
I think that it is useful that I inform you that there
has been a collective misconduct on your part, something that goes against
the integrity of science. I would advise you to consider my enclosed clarification,
and I would gladly accept the group’s apologies, both to me and professor
Donald Saari.
The issue is described in enclosed appendix.
Kind regards,
Thomas Cool
Rotterdamsestraat 69, 2586 GH Scheveningen, Holland
Tel. +31-70-3522978, cool@dataweb.nl, Http://www.dataweb.nl/~cool
cc. professor D. Saari, professor R. Gill, and the chairpersons
of Wiskundige Genootschap and American Mathematical Society, Internet
A note on the scientific misconduct of the Dutch working
group on Social Choice Theory (SCT) ("Interuniversitair samenwerkingsinstituut
Sociale Keuze Theorie") in relation to the 37th "Nederlands
Mathematisch Congres" (NMC)
Thomas Cool, April 20 2001
http://www.dataweb.nl/~cool
-
As a preamble, it is useful to restate that I protest against
the abuse of power by the directorate of the Dutch Central Planning Bureau
(CPB). As an econometrician, I held a position as a ‘scientific co-worker’
there from 1982-1991. In 1989/90 I developed an analysis on unemployment,
of which a part deals with Arrow’s Theorem (for the social choice involved).
The CPB directorate blocked my analysis from discussion, while as a scientist
I should have the opportunity for internal discussion first before I would
submit the analysis for publication by the bureau. The directorate abused
its power by turning the issue into a labour dispute, and it used some
lies to get me fired. The issue is still in court, and I am asking the
academy of science (KNAW) to investigate te matter. Professor Richard Gill
(RUU, KNAW) has taken an interest in the case, and supports my request
at KNAW.
-
Given this background, it must be obvious that I dislike
disputes in general. I dislike what CPB directorate does, as I similarly
dislike writing these lines. In particular since a dispute may cause people
to hypothise that perhaps the CPB directorate had an issue. Yet in some
cases, clarity is essential. In this case, I think that there can be some
educational value to all persons involved, and the general public at large,
that there are some costs when the integrity of science is not respected.
E.g. Holland has had a needless but huge (hidden) unemployment for 10 years
now (which can be generalised for Europe). I am sorry to report, in this
respect, that economists tend to disregard my work and they tend to accept
the abuse of power by the CPB directorate. Therefor, it is useful to call
for the cavalry, and ask the other professions, and in particular the mathematicians,
to investigate the case and to defend the integrity of science.
-
Still in the preamble: Since 1990/91 I have hardly had time
for research. Protesting against the abuse costs time, just as it costs
time to write (and read) these lines. I have had various temporary jobs
in different industries, and it took time to learn the different fields.
Yet it was a great joy in 1993 when I discovered Mathematica, and since
then I have been working steadily towards my major recent publication "Definition
and Reality in the General Theory of Political Economy" (DRGTPE) (2000).
I also have published "The Economics Pack, applications of Mathematica"
(TEP) (1998, 2001) and this January I put out "Voting Theory for Democracy"
(VTFD). All these can be ordered online at www.gopher.nl.
TEP has had a good review in the Economic Journal, it has sold about 100
copies and the software has brought me into contact with some fine economists.
Clearly, part of my strategy is to use this quality software to also draw
attention to my economic analysis and to my protest against the abuse of
science by the CPB directorate.
-
When I had written VTFD, this January, I contacted professor
Pieter Ruys (KUB) again, who had been a contact person for me in 1990 on
my analysis on Arrow’s Theorem. In 1990 he did not understand the analysis,
and my hope was and is that VTFD will make a difference. Because I had
seen a booklet on the subject by professor Harrie de Swart (KUB), I contacted
him as well. Both professors were interested in the book, so I took the
expense to send these to them. It also appeared that there existed some
working group on Social Choice Theory, and to my surprise and delight,
I was even invited to join.
-
For all clarity: the 1990 paper on Arrow’s Theorem that the
CPB directorate blocks from discussion (and eventual publication by the
CPB) is part of VTFD, and only reordered since the book is about voting
in general and not just Arrow’s Theorem.
-
Leaving the preamble phase: On February 23 2001 I first met
the SCT working group. It appeared that professor Donald Saari would come
to Holland, and that there would also be a SCT session at the 37th
Nederlands Mathematisch Congres (NMC). In that meeting of February 23 it
was decided that I would present my book VTFD at NMC. I mentioned, then,
that this would be very useful for Saari as well, since I have some useful
comments to make on his work.
-
I also had brought along some copies of my book. But nobody
bought a copy.
-
In the train back home I encountered Eliora van der Hout
again, one working group member. She said that she would study the book.
It also appeared that she was a room-mate of dr. Annemarie ter Veer - who
I had met a few years ago - and who also appeared to be a member of the
SCT working group. In that period, Annemarie was with the political party
De Groenen, and this party had taken an interest in my economic analysis.
In fact, a delegation of that party took me along to the CPB, to ask CPB
to do some calculations on the analysis. Eventually, though, at some discussion
with De Groenen, there was some political manipulation - not by Annemarie
! - and I decided that I would no longer advise this party.
-
A few days after the meeting, Harrie informed me that my
presentation was annulled. Some people, anonymous to me, had contacted
him after the meeting, and had said that they feared that my work would
not be up to the standards.
-
I hope that it is clear what happens here. (a) Since the
objections to a presentation were not voiced in my presence, I have not
been able to give answers. (b) See the psychological effect on Saari: If
my book has been recently published and there is no session on it, such
that Saari could attend, then he might think that the book has no relevance
for him.
-
One should know that I, through my work on Mathematica, have
had some contact with Alex Tabarrok, and that I, through him, had learned
about Saari’s work at an earlier stage. I have indeed tried to contact
Saari a few years ago. In fact, both Tabarrok and Saari moved to California
afterwards. Unfortunately, no contact with Saari was established back then.
Given Saari’s importance for the field, one can understand that I think
that it is important that we are in contact.
-
Thanks to Harrie de Swart, two thinks happened: (a) He gave
me an introduction to professor Saari by email, so that I could send him
my book VTFD and so that he could look at it before he came to Holland.
Saari replied with an email that he would be delighted to look at the book.
(b) I was invited to give a presentation about my book for the working
group. This presentation was on March 16.
-
Present at my March 16 presentation were Ruys, Storcken,
De Swart, Monsuur, Bosch, Rusinowska and some students who are unknown
to me. Afterwards I got some applause, which sounded honest. Ton Storcken
promised to study my book (of which I have taken the expense of sending
him a copy as well).
-
My problem with the meeting however was: (a) I was told that
some people had decided not to come, since they thought that the presentation
would not be up to their mathematical standards. The group officially has
28 members or so, my impression is that some 14 turn up regularly, but
at my March 16 presentation only 6 turned up (excluding the students).
(b) There was no further discussion about the issue of me and Saari.
-
Hence, I wrote a letter to Harrie and Pieter to emphasise
that the mathematical level of my analysis should not be underestimated,
and that the analysis should deserve serious attention by the working group.
-
There was a strange problem with dates. Harrie first announced
that Saari would give a full day workshop on Tuesday April 17. Even though
my work is of the highest quality, I still have no official Ph. D. title
yet, and for the current universities in Holland that means that I cannot
work at an university. Currently, I teach parttime at a professional college.
When I applied for a leave, my new head decided, suddenly, that lecturers
are allowed only one day of leave per semester. So I had to choose between
a presentation on Webmathematica of April 24 and Saari’s lecture of the
17th. I arranged my leave for April 17. However, a week before
the 17th, Harrie wrote an email in which he proposed a change
of this workshop to the 18th. I wrote back that any change was
OK, but that I needed to know this sufficiently in advance because I have
to make arrangements with my school. When I tried to contact Harry what
the final day would be, I could not reach him. Since it was quite uncertain
on which day Saari would have the workshop, and since I could not take
2 days of leave, I cancelled the 17th. On the 17th
(after Easter) it appeared that the workshop would be on Wednesday the
18th - but it was too late to make arrangements.
-
It so happens, for Wednesday’s, that I give only morning
lectures. So I could attend Saari’s Wednesday afternoon session. Due to
a delayed train, I came in late just after lunch and just before the lecture
started at 14:00 hours. Finally I met Saari, but thus severely handicaped
in way of introduction.
-
In the break of the lecture, Harrie told me that he had received
my letter, and that he would take the time to really look at my book. I
would have to wait till September before he could have a reaction, and
he warned me that it even might be later than that. As such, I could only
accept this, since I am happy will all real interest that people can foster.
-
The workshop ended around 16:00 hours. Since I had no questions
on this afternoon lecture, and since I missed the morning lecture, I considered
it proper to remain silent on my views concerning Saari’s confusion, and
thus I did not engage the whole working group into a discussion on that.
-
When everybody appeared to leave, I finally had time to ask
professor Saari whether he had looked at my book, what his schedule was,
and whether he would have time to discuss issues. He said that he had been
ill, and had had no time to look at my book.
-
Thus: Given that Saari had had no time to look at my book,
and given that I arrived only just before his second lecture, Saari had
no way of knowing about my knowledge of his work. Thus Wednesday April
18th, Saari and I talked for perhaps an hour, but this was a
talk with lots of misunderstandings on his part, while I felt at a great
disadvantage since I had expected that he would have had a look at my book.
-
It appeared that the AMS has put out a publication by Saari,
"Chaotic Elections", 2001. The flyer of that book of course restates Saari’s
confusions. The AMS flyer also states: "Saari’s book should be required
reading for anyone who wants to understand what happened not only in the
presidential election of 2000, but also how we can avoid similar problems
from appearing anytime any group is making a choice using a voting procedure."
Well, I think that the book would be useful reading - but it is my VTFD
that is required reading. Which is why I think that protesting against
these events in the SCT working group is so important as well.
-
Professor Saari and I may agree 98%, but the 2% difference
is the difference between a human being and a chimpansee. I can explain
the difference in a few statements, and I have done so for Saari, but one
needs to think about it, and the statements apparently need their context
before people understand them.
-
Thus for example, professor Saari says that Arrow’s Theorem
is caused by the lack of distinction between rational and irrational voters,
he uses the same cause for Sen’s Theorem, and he uses this commonality
as an argument for having identified the true cause of the paradoxes. Yet,
in my analysis, the cause for Arrow’s Theorem is the confusion between
‘voting’ (fields of voting results) and deciding, while Sen’s Theorem is
based on a confusion between personal and social choices. For both points,
see VTFD. In both cases, we have paradoxical theorems, and it is proper
indeed to look for causes why we think that these results are paradoxical.
Both Saari and I accept the theorems as mathematical truths, but we reject
their common interpretation. But since our causes are different, the implications
are different. For all clarity, I also say, and discovered this independently
from Saari, that Arrow’s Theorem (and the ‘axiom of pairwise decision making’
in particular) does not use all information that is available, yet this
is not the cause for the theorem.
-
Arrow’s wrong interpretation of his theorem has been confusing
SCT for 50 years. It would be a real pity if Saari’s wrong interpretation
would give us another 50 years of confusion. The danger of that is large,
since Saari has presented some wonderful work in geometry, and has given
some wonderful new tools. Mathematicians are in danger of embracing all
Saari’s work, the tools and the interpretation, in one sweep - just as
they did with Arrow. The effect of ingrained biases can be very strong.
I have presented the proper analysis since 1990, and people, such as also
the CPB directorate, have not treated this analysis with the proper respect.
Criticising Arrow was ‘not done’. I am very grateful to professor Saari
for creating room to be more critical of Arrow’s interpretation. But it
would be wrong when Saari’s interpretation would cause people to stop thinking
again. In fact, we could already see this happen at the 37th
NMC.
-
Thus, at the 37th NM Congres, Saari presented
the main theme of his work in a noon lecture.
-
I did not see Harrie de Swart before that lecture started,
and thus I could not inform him that Saari had had no time to look at my
book.
-
At one moment Saari asked the audience how they would explain
Sen’s Theorem. Since Saari and I had not discussed Sen’s Theorem, I raised
my hand to offer my explanation. However, Saari rejected my offer, saying
‘We had a discussion yesterday’, and thus I was not allowed to speak. Clearly,
Saari allowed his confusion about the two theorems to dominate the discussion.
Well, at that moment he had the floor, so one should allow for this, and
it is proper that people can hear what he thinks.
-
At the end of the lecture, there was time for questions.
The evening before I had decided that it would be proper for me to speak
up. Thus I did. And I stated for the audience that I have a great respect
for professor Saari, and that he has done some brilliant work, but that
he entertains a confusion on some crucial points, and that it is important
to study those points.
-
Professor Saari gave the impression to be angered by my statement.
He even said: "You say that I am wrong, but you don’t give arguments why."
This apparently got approval with the audience, since, indeed, at that
moment, it seemed as if I had not given any argument. Yet, it should be
obvious that I have given my arguments - I had sent him my book - and that
professor Saari only has had not enough time to properly consider them.
-
Of course, I also can understand professor Saari a bit here.
He will have encountered, as I have, lots of unspoken opposition to his
criticism of Arrow’s interpretation. Perhaps my remark reminded him of
that.
-
Yet, of course, the proper reaction would have been to invite
me to present my arguments to the audience. I had my sheets of my presentation
of March 16 with me, and it would have taken only 20 minutes, which time
was available. The audience could have voted on this, or only the interested
people could have stayed - the others voting with their feet.
-
After the lecture, I checked with Saari whether he was angry
indeed, and it appeared that this was not the case. I also reminded him
that I did have arguments.
-
Harrie de Swart appeared unhappy with my remark, but I think
that I have succeeded in explaining that I have only decent objectives
in having made it.
-
After these events professor Saari and I did not speak with
each other again, though there seemed to be ample opportunity for that.
-
The afternoon session of the SCT group had only two presentations,
by Rob Bosch and Hans Peters. Again, there would have been ample time to
allow me a presentation as well. But nobody invited me to do so. Rob Bosch
in fact started copying Saari’s confusion.
Which completes my experience with the SCT working group
in February, March and April this year.
I can conclude that the SCT working group collectively
misconducts in the following way:
-
There are biases against the quality of my work, and the
group allows those biases to run affairs instead of that the group deliberately
tries to get clarity. Fortunately, some individuals like Harrie de Swart
and Ton Storcken in particular show good intentions, but apparently they
also have busy agenda’s, and there is a large risk that they simple do
not take sufficient time to get to the root of the analysis.
-
The process of the selection of speakers for the NMC was
improper - and it allowed those biases to grow worse.
-
I told the group that they did not understand social choice
theory, that they needed to study my book, and that it would be important
that we tried to get the argumentation across to Saari. Just the same as
I told in 1990. I might as well have said this to a wall. As a scientist,
however, I must expect that if people disagree on a statement, that they
give counterarguments. The group did not do this.
-
The group created a situation such that I was forced to a
make a formal statement at Saari’s NMC lecture - and such that Saari made
the error of falsely accusing me. Various people in the audience, who are
no regular visitors of the SCT working group, will have had a strange idea
of what was happening.
Clearly, since there are lots of signs of good intentions,
there is reason for some optimism. Also, there have been some unfortunate
events, like Saari’s illness and the change of the lecture dates. Yet still,
I think that the group owes an apology to professor Saari and me. Of course,
at this moment professor Saari has not read my book yet, and thus he does
not know how important the issue is. But eventually I can only think that
he would agree.
My other suggestion is that the group now starts studying
the book, that we have some sessions on it in September, and that we afterwards
invite professor Saari again.
Appendix: Professor Saari’s email about my book
>From mailnull Wed Feb 28 21:23:06 2001
Resent-from: "H. de Swart" <H.C.M.deSwart@kub.nl>
Resent-to: cool@dataweb.nl
Resent-date: Wed, 28 Feb 2001 21:22:26 MET
X-Sender: dsaari@e4e.uci.edu
Date: Wed, 28 Feb 2001 12:18:27 -0800
To: "H. de Swart" <H.C.M.deSwart@kub.nl>
From: Donald Saari <dsaari@uci.edu>
Subject: Re: book by Thomas Cool
>Dear Donald,
>
>In our research group on Social Choice Theory, you will
meet
>Thomas Cool, who has recently written a book "Voting
Theory
>for Democracy", in which he also discusses your work.
>He has designed a Borda Fixed Point, which differs from
your
>preference for Borda itself.
>He would be delighted to send you his book, so that you
>could read about his approach. If you would be interested,
>please tell me, so that I can tell Thomas that he can
send
>you the book indeed. Otherwise, I'm sure that you will
be
>able to discuss matters when you meet him.
>With kind regards and looking forward to see you, Harrie
de Swart.
>
>
>
>H.C.M. de Swart e-mail:
>H.C.M.deSwart@kub.nl
>Chair in Logic and Linguistic Analysis tel. (0031) 13
4662415
>Tilburg University fax. (0031) 13 4662892
>P.O. Box 90153
>5000 LE Tilburg http://cwis.kub.nl/~fsw_2/fww/home/swart/index.htm
>the Netherlands
This would be delightful! If I have the book in advance,
I
could (hopefully) have it read before I arrive so I could
be more
informed in our discussions.
Either mailing address given below would suffice.
(…)
Regards,
Don
--
Donald G. Saari, UCI Distinguished Professor of Mathematics
and Economics
Economics: 3295 Social Science Plaza, (949) 824 5894
Mathematics: 233 Multipurpose Science & Eng. Blg,
(949) 824-7121
Mail: Either Department, University of California, Irvine,
Irvine, CA 92697, dsaari@uci.edu
Appendix: My April 19 email to professor Saari on his
false accusation
Dear professor Saari,
Today, at the 37th Nederlands Mathematisch Congres, held
at Vrije Universiteit Amsterdam, I again informed you that you are on an
off-track course concerning voting theory and the theory of social welfare.
What your articles 'crucially' say about voting theory and social welfare
is unwarrented, and your statements could be detrimental to democracy and
social welfare themselves.
In reply to this remark of mine, you replied that I did
not give any reasons to substantiate my statement. Your comment caused
the audience to neglect my remark, at that moment.
However, your reply is improper, since I did send you
my book, that contains this substantiation. You told me earlier - Wednesday,
when we met for the first time - that you had been ill before, and that
you did not have time to look at the book. Below email exchange shows that
there has been some effort to get my book to you. I take your word for
it that it has arrived. Thus there is a clear difference between the existence
of my analysis and your lack of time to study it.
I would like to have it on record that I greatly appreciate
your work.
Thousands of years hence, students will use your representations
to understand voting paradoxes. You created a tool, in the same way as
Descartes created analytical geometry. Your contribution to the subject
is brilliant - and a proof of a determined intelligence trying to discover
a hidden truth. Yet, there is a fine line, separating your true contribution
from the 'off track' conclusions. On some aspects, you are too rash, and
some of your conclusions are not valid.
I truely forgive you your remark, on my supposed lack
of providing argumentation, since I know how hard it is to work on the
frontier. Yet I also know that our colleagues are easily mislead. For 50
years they followed Kenneth Arrow, and now they might as well follow you
- but also on you rash conclusions!
Currently, I am quite at a loss as to the current situation.
The best thing probably is that you inform all people involved, that your
statement, that I did not provide any substantiation, was incorrect. I
please ask you to do so, though the damage already has been done.
My best regards,
Thomas Cool
http://www.dataweb.nl/~cool