Best Watch For A 10 Yr Old Girl With Games Playing Games – What John Nash Was Actually Famous For

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Playing Games – What John Nash Was Actually Famous For

Like Eric Liddell and Braveheart, the 2002 film A Beautiful Mind made mathematician John Forbes Nash a household name, but his life or work are not always much better understood. The film was well received by audiences and critics, winning the 2004 Academy Award, but enthusiasts of Nash’s work insist that even greater rewards await those who study Nash’s actual work and the esoteric discipline in which he made his name, game theory.

Born in Bluefield, West Virginia, in 1928, Nash was already conducting scientific experiments in bedrooms at the age of twelve. He didn’t excel at sports or other stereotypically youthful pursuits, instead digging into ET Bell’s Men of Mathematics with the same intensity a young aspiring guitarist might bring to, say, Led Zeppelin IV. While still in high school, he took college-level math classes, and a Westinghouse scholarship to the Carnegie Institute of Technology (the school known and respected today as Carnegie Mellon) seemed to confirm—and only confirm—his calling as a mathematician. when Princeton aggressively recruited him for its Ph.D. program in mathematics. He completed his doctorate in 1950.

Much of his important early work, including three scientific papers that defined and explained the trend that became known as “Nash Equilibria” and that (many years later) won him the Nobel Prize in 1994, was related to game theory. branch of mathematics that analyzes the ways in which people interact. Game theorists construct equations that represent the motives people assume when faced with a situation, and then analyze the range of possible actions they can take. They use mathematical modeling to determine what the actual outcomes of the situation will then be.

A logic puzzle known as the Prisoner’s Dilemma offers a good quick example of how basic game theory works. Imagine two prisoners caught near a burglary and dragged in by the police. The cops know they’ve got their suspects, but they can’t get either man to confess, so they offer each man a deal. As Michael AM Lerner describes it, writing in Good Magazine: “If they both confess and cooperate, they’ll both get a paltry five-year sentence. If neither man confesses, they’ll both get only one year. But, and here’s where it gets interesting, if one confesses and the other doesn’t, the one who confesses gets off without a trace, and the other one will do 10 years. What are they going to do? Are they going to trust each other and do what’s obviously the best interest, which is not to confess?” Game theorists assume that it’s every man for himself in this dilemma; assigning values ​​accordingly, they come up with equations that predict the two thieves will betray each other – even though it makes more sense to cooperate.

It may sound crazy—how can something as seemingly simple as mathematics lead to successful, predictable patterns of how people will behave in real-world situations? But mathematicians, economists and political scientists have used game theory to make some surprisingly accurate predictions. Game theorist Benito de Mesquita used his equations to predict the successor to Ayatollah Khomeini in 1984; When his answer proved correct years later, it launched a career that now includes a wealthy consulting firm and several Pentagon engagements. Game theory may not be controversial, but it appears to be here to stay.

Nash’s own most famous work concerns the way we can assume that people will behave in certain non-cooperative games, ie situations where people compete with each other. He generally showed that there are limits to the degree of success that can be achieved by people who compete with each other – that, contrary to Adam Smith (the father of modern economics), some forms of competition tend to reduce the good things available to everyone (rather than increasing the overall size of the pot, as is usually assumed to have taught by Smith). This is the insight for which, decades later, after a long battle with schizophrenia and with Reinhard Selten and John Harsanyi, he won the Nobel Prize. It might not be as photogenic as Russell Crowe (who played Nash in the movie), but it’s — who knows? – probably more relevant to your life.

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