Dr. John Nash on his life before and after the Nobel Prize

TL;DR

Nobel recognition transformed John Nash’s life because he was unemployed and beginning Social Security when the prize acknowledged work already widely cited in mathematics and economics. He remained active afterward, developing ideas about ideal money and game theory, while advising students to build strong mathematical and scientific foundations instead of following intellectual fashions that may change over time.

Transcript

professor John Nash very welcome to this interview it's an honor to have you with us thank you it has passed 10 10 years since you received the economic price uh what impact has it had on your professional and maybe on your private life of the last 10 years well it's almost 10 years it had it's had a tremendous uh impact on my life uh more than on ... Read More

Key Insights

• Nobel recognition transformed Nash’s circumstances because he was unemployed and beginning Social Security at age 66 when the award officially acknowledged research that had already become widely cited in the literature of economics and mathematics.
• Nash’s post-prize research included a published paper on ideal money, a planned extension of its ideas, and additional work related to game theory, even though lectures, travel, and celebrity obligations occupied much of his time.
• Nash viewed monetary quality as a serious research question, contrasting Italy’s movement from the lira to the euro with concerns about other currencies, including a dollar that no longer had the gold-standard character it possessed in the nineteenth century.
• Nash’s mathematical interests appeared during childhood, when he wanted to pursue more mathematics than other elementary-school students. His parents recognized that he was mentally unusual, but his local school system was not designed to provide special instruction for students like him.
• Nash’s equilibrium work emerged from a favorable Princeton environment where von Neumann and Morgenstern were present, their book shaped ongoing discussion, and a relevant seminar helped connect earlier ideas about probability, strategies, and utility with his new formulation.
• Nash’s central innovation was a framework first described as equilibrium points in games with multiple participants and later developed under the thesis title of non-cooperative games. It extended beyond the zero-sum procedure associated with earlier game theory.
• Nash knew that his equilibrium concept was a good idea worth publishing, but he could not predict its later influence or anticipate a Nobel Prize because no economics prize existed when he completed the original work.
• Mathematical training is a valuable foundation for economics students because game theory is widely applied in the discipline and mathematically oriented economists receive greater respect, according to Nash. He also recommended knowledge with lasting scientific value over temporary academic fashions.

Questions & Answers

Q: How did the Nobel Prize change John Nash’s life?

The Nobel Prize transformed Nash’s life by giving official recognition to earlier research that was already quoted frequently in economics and mathematics. At the time, he was unemployed, in good health, and beginning Social Security at age 66 after many years without employment. Because his professional and financial circumstances were unusual, he believed the award influenced his life more dramatically than it affected most prize recipients.

Q: What did John Nash remember about receiving the prize in Stockholm?

Nash remembered being in Stockholm during December, when the days became very short and the afternoon started growing dark around 3:00. He was also there for Saint Lucia’s Day, which he described as an early celebration of returning light. The seasonal darkness was especially striking because he had not experienced that phenomenon at lower latitudes.

Q: What research did John Nash pursue after receiving the Nobel Prize?

Nash remained active in research despite spending considerable time giving lectures, traveling, and handling the demands associated with public recognition. He published a paper on ideal money and hoped to extend its ideas in another paper. He also said he had work related to game theory approaching publication and was studying other areas, although he was uncertain how much time he would have to complete everything.

Q: What did John Nash mean by the quality of money?

Nash described a deterioration in the observable quality of money as a subject that raised questions across different regions. He pointed to Italy’s move from the lira to the euro as a comparatively revolutionary change from bad money to good money. He also questioned the dollar’s condition, noting that it had once been a gold-standard currency and had been especially sound during the nineteenth century.

Q: When did John Nash first become interested in mathematics?

Nash said his appreciation of mathematics and science began during childhood. Even in elementary school, he wanted to do more mathematics than the other students were doing. His parents recognized that he was mentally special, but the school system where he lived was not adapted to students with unusual abilities, so he proceeded through the regular system before advancing further.

Q: How did John Nash develop his idea of equilibrium in game theory?

Nash developed the idea while he was a graduate student at Princeton, where von Neumann and Morgenstern were residents and their book on games and economic behavior provided important concepts. Using ideas such as strategies and utility, he described an approach different from their procedure. His work was initially called equilibrium points in games with multiple participants and later became his thesis on non-cooperative games.

Q: Did John Nash know how important his game theory work would become?

Nash knew that he had a good idea and believed it was worth publishing, but he said it was difficult to know what would come from any discovery or how the future would unfold. A Nobel Prize was not something he could anticipate at the time because no economics prize existed when he completed the work. Its later recognition therefore depended partly on historical circumstances.

Q: What career advice did John Nash give economics students?

Nash advised economics students to study as much mathematics as reasonably possible because game theory was applied extensively in economics and economists using more mathematics tended to receive greater respect. He also warned that fashionable trends and general opinion could change greatly over about 20 years. Students should therefore build durable foundations and learn ideas with lasting, unquestionable scientific value.

Summary

In this interview with Professor John Nash, he discusses the impact of receiving the economic prize on his life, his memories of the time he went to Stockholm to receive the prize, his professional progress since then, and his concerns about the quality of money and the education system. He also talks about his early interest in mathematics, the recognition of his special talent by his parents, and the need for education to cater to the needs of specially talented children. Nash explains the circumstances and breakthrough of his Nash equilibrium theory, his advice for young students interested in economics, and his thoughts on issues like wealth disparity and the importance of trade. He also reflects on the movie based on his life and his recovery from mental illness, and mentions the influence of a teacher in his journey.

Questions & Answers

Q: What impact did receiving the economic prize ten years ago have on your life?

The prize had a tremendous impact on my life, especially because at the time I was unemployed and in good health. I was widely known in economics and mathematics circles but had not received official recognition before.

Q: Do you have any special memories from the time you went to Stockholm to receive the prize?

Being in Stockholm during December was remarkable, especially witnessing the days getting very short as winter approached. It was a unique experience for someone from lower latitudes.

Q: You mentioned in your biography that you were hoping to achieve more professionally after receiving the prize. Do you feel that you have had the opportunity to do so?

While a significant amount of my time has been taken up by giving lectures and traveling, I have made progress in my research. I have published one paper on idea money and hope to extend those ideas in another paper. I feel like I have just discovered a new area of study.

Q: Can you explain the concept of the quality of money and how it has changed over time?

The concept of the quality of money is complex. We have observed a deterioration in the quality of money in various areas, such as when Italy transitioned from the lira to the euro. The dollar, which used to be a gold standard currency, has also changed. The reasons for these changes are multifaceted and would require a deeper discussion.

Q: Were you always interested in mathematics and did you feel like you had a special gift for it as a child?

Yes, I had an appreciation for math and science from a young age. Even in elementary school, I was more interested in mathematics than other students. My parents recognized my special talent, but the school system at the time wasn't adapted for students like me.

Q: Do you think the education system for talented children has improved over time?

There are many complicated issues in education, and it varies depending on the location and the size of the school. Pushing talented children into advanced education too early may not yield optimal outcomes. While the American education system is inefficient compared to other countries, it still manages to produce individuals who excel in unusual careers and sciences.

Q: What was the breakthrough for you in your research on game theory and how did you realize its significance?

The breakthrough came from my studies in Princeton, where I had the opportunity to work on a different concept from what had been done previously by others like von Neumann and Morgenstern. I developed the concept of Nash equilibrium and wrote my thesis on non-cooperative games. The circumstances and the seminar at the university played a significant role in my realization of the breakthrough.

Q: Did you realize at the time how significant your discovery would be?

I knew that I had a good idea worth publishing, especially when I expanded on the phenomena in the zero-sum game. But predicting future significance or the possibility of a Nobel Prize was not something I could have anticipated at the time.

Q: What advice would you give to young students interested in economics?

It would be wise for young students interested in economics to delve into mathematics. Economists who are more mathematically inclined tend to garner more respect. However, it is important to have a solid foundation in timeless scientific principles rather than solely relying on current trends or popular opinion.

Q: Are there any current issues in the world that concern you as a scientist?

There are many different issues in the world today, such as the disparity between the first and third world, political situations, and budget deficits. These issues require different perspectives and are often debated with differing opinions. It's important to critically analyze popular opinions and seek out more scientific and nuanced viewpoints.

Takeaways

Professor John Nash discusses the impact of receiving the economic prize on his life, his memories of the time he went to Stockholm to receive the award, and the progress he has made professionally since then. He expresses concerns about the quality of money, shares his thoughts on education for talented children, and offers advice to young students interested in economics. Moreover, Nash highlights the importance of timeless scientific principles and voices his views on various global issues. The interview concludes with reflection on the movie based on his life and his recovery from mental illness, as well as the influence of a teacher during his studies.

Summary & Key Takeaways

• Receiving the Nobel Prize brought official recognition to Nash’s earlier work and dramatically changed his circumstances. Although his research had already been cited frequently in economics and mathematics, he was unemployed when honored and had experienced many years without employment. The award consequently affected him more than it might affect many recipients.

• Nash developed equilibrium points for games involving multiple participants while studying at Princeton, where the intellectual environment included von Neumann, Morgenstern, and a seminar related to their work. He adapted existing concepts of strategies and utility to formulate a different approach, which became his thesis on non-cooperative games.

• After the prize, Nash continued researching ideal money and topics related to game theory, although lectures, travel, and public attention consumed substantial time. He advised economics students to study mathematics, pursue durable scientific foundations, and remain prepared for changing trends rather than relying too heavily on fashionable or widely accepted opinions.