A beautiful math John Nash, game theory, and the modern quest for a code of nature

Tom Siegfried, 1950-

Book - 2006

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Subjects
Published
Washington, D.C. : Joseph Henry Press c2006.
Language
English
Main Author
Tom Siegfried, 1950- (-)
Edition
1st ed
Physical Description
264 p.
Bibliography
Includes bibliographical references and index.
ISBN
9780309101929
  • Introduction
  • 1. Smith's Hand: Searching for the Code of Nature
  • 2. Von Neumann's Games: Game theory's origins
  • 3. Nash's Equilibrium: Game theory's foundation
  • 4. Smith's Strategies: Evolution, altruism, and cooperation
  • 5. Freud's Dream: Games and the brain
  • 6. Seldon's Solution: Game theory, culture, and human nature
  • 7. Quetelet's Statistics and Maxwell's Molecules: Statistics and society, statistics and physics
  • 8. Bacon's Links: Networks, society, and games
  • 9. Asimov's Vision: Psychohistory, or sociophysics?
  • 10. Meyer's Penny: Quantum fun and games
  • 11. Pascal's Wager: Games, probability, information, and ignorance
  • Epilogue
  • Appendix. Calculating a Nash Equilibrium
  • Further Reading
  • Notes
  • Index
Review by Choice Review

A Beautiful Math makes a nice companion to Sylvia Nasar's A Beautiful Mind (1998) for those wishing to know more about John Nash's contributions to game theory, especially for readers lacking strong mathematical backgrounds. Science writer Siegfried provides the historical background, context, and possible future applications of game theory in various disciplines. The overlap with Nasar's books is minimal. Mathematicians might hope for greater depth, as the only place equations appear is in the appendix, but they can refer to The Essential John Nash, ed. by Harold W. Kuhn and Nasar (2002), which reproduces much of Nash's work, not just the game theory material. Siegfried's style is very readable and marred only by a perhaps overly optimistic view of the future of game theory, e.g., "Game theory could someday become the glue that holds all of science's pieces together." Such sweeping claims have been heard before from advocates of chaos theory, cellular automata, and other hot research fields, after which the reader tends to meet them with some skepticism and weariness. Fortunately, the style settles down somewhat as the text progresses. A very interesting read. ^BSumming Up: Recommended. All levels. C. Bauer York College of Pennsylvania

Copyright American Library Association, used with permission.
Review by Publisher's Weekly Review

The title capitalizes on the popularity of the Oscar-winning movie about Nobel Prize-winning mathematician John Nash. But this is a serious and adroit look at a branch of mathematics, influenced by Nash's work, that is steadily sending tendrils into nearly every area of science. It may even, says science journalist Siegfried, result in a mathematical description of nature of the sort imagined and called "psychohistory" by Isaac Asimov in his Foundation trilogy. Siegfried is talking about game theory, which was originally conceived as a model of economics predicting what rational people would do when competing for monetary gain. But with the help of the "Nash equilibrium," it has since evolved into a system that helps describe social networking, physics, evolution and more. In guiding the reader through the outgrowths of game theory, Siegfried steps nimbly around anything that would bog down the narrative, crisply painting the key concepts and framing them with pop culture, biographies of and conversations with giants in the field, and reacting ("Now, you have to admit, that's a little strange") to each new discovery. His clear and easy voice makes the content effortless and a pleasure to read. (Oct. 20) (c) Copyright PWxyz, LLC. All rights reserved

(c) Copyright PWxyz, LLC. All rights reserved
Review by Library Journal Review

This book's title is an obvious allusion to A Beautiful Mind, the biography and movie about John Nash, the 1994 Nobel laureate in economics. Though veteran science journalist Siegfried does indeed include one chapter describing Nash's very important mathematical work, the last two phrases in the subtitle provide a more accurate statement of his book's scope and direction. Early in the volume, Siegfried reviews the history of game theory and its application to economics. Then he relates other applications now under development, including the discipline of social physics. Throughout, the mathematical exposition is kept at a level very accessible to lay readers. Siegfried incorporates some potential developments and applications that appear to be rather speculative and implausible, but this is appropriate in a work on a field still defining itself. Recommended for both public and academic libraries.-Jack W. Weigel, Ann Arbor, MI (c) Copyright 2010. Library Journals LLC, a wholly owned subsidiary of Media Source, Inc. No redistribution permitted.

(c) Copyright Library Journals LLC, a wholly owned subsidiary of Media Source, Inc. No redistribution permitted.