Faculty
The Prisoner's Dilemma
By Freeman Dyson
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Groups lacking cooperation are like dodoes, losing the battle for survival collectively rather than individually. |
The Evolution of Cooperation is the title of a book by Robert Axelrod. It was published by Basic Books in 1984, and became an instant classic. It set the style in which modern scientists think about biological evolution, reducing the complicated and messy drama of the real world to a simple mathematical model that can be run on a computer. The model that Axelrod chose to describe evolution is called “The Prisoner’s Dilemma.” It is a game for two players, Alice and Bob. They are supposed to be interrogated separately by the police after they have committed a crime together. Each independently has the choice, either to remain silent or to say the other did it. The dilemma consists in the fact that each individually does better by testifying against the other, but they would collectively do better if they could both remain silent. When the game is played repeatedly by the same two players, it is called Iterated Prisoner’s Dilemma. In the iterated game, each player does better in the short run by talking, but does better in the long run by remaining silent. The switch from short-term selfishness to long-term altruism is supposed to be a model for the evolution of cooperation in social animals such as ants and humans.
Mathematics is always full of surprises. The Prisoner’s Dilemma appears to be an absurdly simple game, but Axelrod collected an amazing variety of strategies for playing it. He organized a tournament in which each of the strategies plays the iterated game against each of the others. The results of the tournament show that this game has a deep and subtle mathematical structure. There is no optimum strategy. No matter what Bob does, Alice can do better if she has a “Theory of Mind,” reconstructing Bob’s mental processes from her observation of his behavior.
How Incompatible Worldviews Can Coexist
By Freeman Dyson
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Freeman Dyson was awarded the 2012 Henri Poincaré Prize at the International Mathematical Physics Congress in August. On this occasion, he delivered the lecture “Is a Graviton Detectable?” a PDF of which is available at http://publications.ias.edu/poincare2012/dyson.pdf. |
John Brockman, founder and proprietor of the Edge website, asks a question every New Year and invites the public to answer it. THE EDGE QUESTION 2012 was, “What is your favorite deep, elegant, or beautiful
explanation?” He got 150 answers that are published in a book, This Explains Everything (Harper Collins, 2013). Here is my contribution.
The situation that I am trying to explain is the existence side by side of two apparently incompatible pictures of the universe. One is the classical picture of our world as a collection of things and facts that we can see and feel, dominated by universal gravitation. The other is the quantum picture of atoms and radiation that behave in an unpredictable fashion, dominated by probabilities and uncertainties. Both pictures appear to be true, but the relationship between them is a mystery.
The orthodox view among physicists is that we must find a unified theory that includes both pictures as special cases. The unified theory must include a quantum theory of gravitation, so that particles called gravitons must exist, combining the properties of gravitation with quantum uncertainties.
Ancient History: The Director's Cut––Oliver Stone at the Institute for Advanced Study
By Angelos Chaniotis
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From left: Nathanael Andrade, Angelos Chaniotis, Oliver Stone, Gary Leva, and Yannis Hamilakis discuss historiography in the context of cinema. Photo by Bentley Drezer |
The study of cinematic representations of ancient history is one of the most rapidly rising fields of classical scholarship. As an important part of the modern reception of classical antiquity, movies inspired by Greek and Roman myth and history are discussed in academic courses, conferences, textbooks, handbooks, and doctoral theses. Such discussions involve more than a quest for mistakes—a sometimes quite entertaining enterprise. They confront classicists and ancient historians with profound questions concerning their profession: What part does the remote past play in our lives? How do modern treatments of the past reflect contemporary questions and anxieties? How is memory of the past continually constructed, deconstructed, and reconstructed?
My father worked in the movie industry in the 1950s and 60s as a producer and leaseholder of one of Greece’s largest movie theaters. This may have been the impetus for me to become a cinephile. However, my fascination with the representation of history on the big screen is part of my interest in how memory is shaped. Many Members of the School of Historical Studies, past and present, share this interest. Adele Reinhartz (Member, 2011–12) is the author of Scripture on the Silver Screen (Westminster John Knox Press, 2003) and Jesus of Hollywood (Oxford University Press, 2007); among current Members, the archaeologist Yannis Hamilakis studies the place of the past in modern Mediterranean societies and their media; the ancient historian Nathanael Andrade incorporates movies into undergraduate teaching; and the historian of Latin America Jeff Gould directs historical documentaries.
Letter from the Director: The Most Successful Route Often Begins with a Short Step to the Side
By Robbert Dijkgraaf
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Robbert Dijkgraaf, IAS Director and Leon Levy Professor, in the Mathematics–Natural Sciences Library in Fuld Hall |
I am honored and heartened to have joined the Institute for Advanced Study this summer as its ninth Director. The warmness of the welcome that my family and I have felt has surpassed our highest expectations. The Institute certainly has mastered the art of induction.
The start of my Directorship has been highly fortuitous. On July 4, I popped champagne during a 3 a.m. party to celebrate the LHC’s discovery of a particle that looks very much like the Higgs boson—the final element of the Standard Model, to which Institute Faculty and Members have contributed many of the theoretical foundations. I also became the first Leon Levy Professor at the Institute due to the great generosity of the Leon Levy Foundation, founded by Trustee Shelby White and her late husband Leon Levy, which has endowed the Directorship. Additionally, four of our Professors in the School of Natural Sciences—Nima Arkani-Hamed, Juan Maldacena, Nathan Seiberg, and Edward Witten—were awarded the inaugural Fundamental Physics Prize of the Milner Foundation for their path-breaking contributions to fundamental physics. And that was just the first month.
Nearly a century ago, Abraham Flexner, the founding Director of the Institute, introduced the essay “The Usefulness of Useless Knowledge.” It was a passionate defense of the value of the freely roaming, creative spirit, and a sharp denunciation of American universities at the time, which Flexner considered to have become large-scale education factories that placed too much emphasis on the practical side of knowledge. Columbia University, for example, offered courses on “practical poultry raising.” Flexner was convinced that the less researchers needed to concern themselves with direct applications, the more they could ultimately contribute to the good of society.



