Posted March
27, 2002:
Beautiful opinions
about Mind:
A
Beautiful Soul
One
professor reflects on John Nash *50's fortune and theory
By Patrick J. Deneen
Having been equally intrigued and inconvenienced by the filming
of Ron Howard's A Beautiful Mind on the Princeton campus, it was
with great curiosity that I attended a showing at our local theater,
located virtually on the site where mathematician John Nash formulated
his influential mathematical theories.
My first reaction was delight at seeing some of my favorite spots
beautifully captured on film, including the large commons room in
Rockefeller College, where I am an adviser. It is portrayed as an
exclusive dining room for faculty, but in fact is a chamber where
students are usually found in prone positions as they read books,
and where my young sons, often loudly and with smiling forbearance
from the students, alternate between playing Ping-Pong and foosball.
My second reaction was one of alarm, having never been told about
the purported Princeton tradition of giving one's prized pen to
a colleague who has achieved some notable achievement. After several
days of inquiries, however, I found that none of my senior colleagues
had heard of such a practice either, and my pen collection seemed
safe.
Upon further reflection, however, I came to be less absorbed by
the thrill of seeing familiar places and more troubled by the film's
peculiar message. A fundamental tension seems to exist at its core
between the content of the mathematical theories for which Nash
receives the Nobel Prize and the relationship between Nash and his
wife, Alicia. It is her love for and devotion to Nash, as portrayed
in the film, that allows him to recapture his sanity and pave the
way for reception of his deserved accolades.
One scene in particular continues to give pause. Nash is with
a group of friends at a Princeton graduate-student party when he
is suddenly struck by an idea that forms the basis of his "rational
choice" game theory, a theory for which he would eventually
become famous. In a cinematic version of what would become the "Nash
Bargaining Solution," we witness Nash's friends ogling one
extremely beautiful blonde woman and four less-ravishing but still
attractive brunettes. The other students all intend to seduce the
blonde, and one even alludes to Adam Smith's theory of zero-sum
game competition the best man wins, and the others are left
out in the cold, literally in this case. Nash, in a sudden flash,
realizes that the basis of economic theory does not have to be a
zero-sum game, but rather one that might assure mutually beneficial
outcomes for all the parties involved (what would later become Nash's
"equilibrium" theory). Nash proposes that the students
avoid seducing the blonde, since they will get in each others' way
and alienate both the blonde and the brunettes. Instead, by ignoring
the blonde and concentrating on the brunettes, each will benefit
(except, one supposes, the blonde). By seeing the barren outcome
of their zero-sum competitive approach, they can adjust their strategy
through cooperative bargaining and each, so to speak, enjoy the
fruit of his efforts.
Shortly after this fanciful portrayal of Nash's mathematical theories
of rational self-interest ones that now serve as the basis
of inquiry in many academic disciplines, ranging from economics
to political science we observe another seduction, this time
Alicia's overtures to Nash, her professor. To the amazement and
amusement of most of the film's viewers, Alicia not only accepts
Nash's quirks and lack of social graces but is attracted to him
by an inexplicable desire one that fosters love, instills
devotion, and later makes possible his mental salvation. There is
no apparent rational calculation in Alicia's overtures; indeed,
as I watched their budding relationship, I found myself in disbelief
that she would be attracted to Nash (in spite of Russell Crowe's
good looks), and in no small admiration for and incredulity at her
irrational dedication.
The irony of the film is that Nash, at least as portrayed in accepting
the Nobel Prize for his "rational choice" theory, gratefully
thanks his wife for her unwavering love. Yet there is insurmountable
incongruity between his theory and the wellsprings of that love.
According to Nash's formula, individual calculation may sometimes
grudgingly conclude that achieving our true wish personal
fulfillment requires mutual calculation and compromise. But
in the film, Alicia pursues her true desire not only for the sake
of self-fulfillment, but, as with any great love, as a form of self-denial.
For Nash, by thinking first of our own interests, we can achieve
mutually advantageous situations. For Alicia, by giving her self
away, she becomes more fully herself, a person enriched through
entwinement in the life of another. In rational-choice theory, ideal
decisions are made only by rational actors always competitors
who have full information about all aspects governing the
choice. But Alicia's love has a mystery at its core, one that is
impenetrable to calculated reason and transcends even full information.
I came away from the film with the curious realization that Nash
was fortunate not everyone lives by the economic calculus for which
he became famous, for without Alicia's selfless and self-fulfilling
love, his soul might have been lost.
Patrick J. Deneen teaches in the Department of Politics at Princeton
University and can be reached at pdeneen@princeton.edu
This story originally appeared in Commonweal (February 8, 2002)
and is reprinted with permission.