Playing Games: What John Nash Was Actually Famous For

As Chariots Of Fire did for Eric Liddell and Braveheartand cooperate, they'll both get a minor sentence of
did for William Wallace, the 2002 film A Beautiful Mindfive years. If neither man confesses, they'll both only
made mathematician John Forbes Nash a householdget one year - But, and here's where it gets
name - without necessarily rendering his life, or hisinteresting, if one confesses and the other doesn't,
work, much better-understood. Audiences and criticsthe one who confesses walks out scot-free while
welcomed the movie - it won a 2004 Academythe other will do 10 years. What will they do? Will
Award - but enthusiasts of Nash's work insist thatthey trust each other and do what's obviously in their
even bigger rewards await those who study Nash'sbest interest, which is not confess?" Game theorists
real-life work, and the esoteric discipline, gameassume that each person in this dilemma is out for
theory, in which he made his name.themselves; assigning values accordingly, they come
Born in Bluefield, West Virginia, in 1928, Nash wasup with equations that predict the two burglars will
already carrying out bedroom scientific experimentsbetray each other - even though it makes more
at the age of twelve. He didn't excel in sports orsense to cooperate.
other stereotypically youthful pursuits, instead fixingIt may sound crazy - how on earth can something
on E.T. Bell's book Men of Mathematics with thethat seems as cut-and-dry as math make successful,
same intensity that a young would-be guitarist mightpredictive models of how humans will behave in a
bring to, say, Led Zeppelin IV. While still in high school,real-world situation? But mathematicians, economists
he took college-level math classes, and aand political scientists have used game theory to yield
Westinghouse scholarship to the Carnegie Institute ofsome startlingly accurate predictions. Game theorist
Technology (a school known, and revered, today asBenito de Mesquita used his own equations to predict
Carnegie Mellon) seemed to confirm his vocation as athe Ayatollah Khomeini's successor, in 1984; when his
mathematician - a vocation only confirmed whenanswer proved, several years later, to be correct, it
Princeton aggressively recruited him to its Ph.D.launched a career that now includes a rich consulting
program in mathematics. He finished his doctorate infirm and several Pentagon collaborations. Game
1950.theory may not be uncontroversial, but it does look
Much of his important early work - including the threeto be here to stay.
scholarly articles that defined and explained theNash's own most famous work has to do with the
tendency that came to be known as "Nashway we can assume people will behave in certain
equilibrium" and which (many years later) helped"non-cooperative" games, i.e. situations in which
secure him a 1994 Nobel Prize - had to do with gamepeople compete against each other. He showed, in
theory, a branch of mathematics that analyzes thegeneral, that there are limits on the degree of
ways people interact. Game theorists constructsuccess that can be achieved by people in
equations that reflect peoples' assumed motives incompetition against each other - that, contra Adam
entering a situation, and then analyze the range ofSmith (the father of modern economics), some kinds
possible actions they may take. They useof competition tend to reduce the amount of good
mathematical modeling to determine what the actualstuff available for everyone (rather than making the
outcomes of the situation, then, will be.total size of the pot bigger, as Smith is usually
A logical puzzler known as the Prisoner's Dilemmaassumed to have taught). This is the insight for which
offers a good quick example of how basic game- decades later, after his protracted struggle with
theory works. Imagine two prisoners caught near theschizophrenia, and along with Reinhard Selten and
scene of a burglary and hauled in by the police. TheJohn Harsanyi - he won the Nobel Prize. It may not
cops know that they've found their suspects, butbe as photogenic as Russell Crowe (who played Nash
they can't get either person to admit guilt, so theyin the movie), but it's - who knows? - probably more
offer each man a deal. As Michael A.M. Lerner, writingrelevant to your life.
in Good Magazine, describes it: "If they both confess