A Beautiful Math: John Nash, Game Theory, and the Modern Quest for a Code of NatureNational Academies Press, 21/09/2006 - 272 páginas Millions have seen the movie and thousands have read the book but few have fully appreciated the mathematics developed by John Nash's beautiful mind. Today Nash's beautiful math has become a universal language for research in the social sciences and has infiltrated the realms of evolutionary biology, neuroscience, and even quantum physics. John Nash won the 1994 Nobel Prize in economics for pioneering research published in the 1950s on a new branch of mathematics known as game theory. At the time of Nash's early work, game theory was briefly popular among some mathematicians and Cold War analysts. But it remained obscure until the 1970s when evolutionary biologists began applying it to their work. In the 1980s economists began to embrace game theory. Since then it has found an ever expanding repertoire of applications among a wide range of scientific disciplines. Today neuroscientists peer into game players' brains, anthropologists play games with people from primitive cultures, biologists use games to explain the evolution of human language, and mathematicians exploit games to better understand social networks. A common thread connecting much of this research is its relevance to the ancient quest for a science of human social behavior, or a Code of Nature, in the spirit of the fictional science of psychohistory described in the famous Foundation novels by the late Isaac Asimov. In A Beautiful Math, acclaimed science writer Tom Siegfried describes how game theory links the life sciences, social sciences, and physical sciences in a way that may bring Asimov's dream closer to reality. |
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... want to thank by name is my wife, Chris, who really made it possible for me to write this book, because she has a job. Tom Siegfried Los Angeles, California Contents Introduction 1 1 Smith's Hand Searching for the Code vi PREFACE.
... 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 ...
... human interaction. One of the earliest and most influential of those efforts was the economic system described in The Wealth of Nations by Adam Smith. Smith's Hand Searching for the Code of Nature If in INTRODUCTION 9.
... Smith's. Hand. Searching for the Code of Nature If in the seventeenth century natural philosophers borrowed notions of law in human affairs and applied them to the study of physical nature, in the eighteenth century it was the turn of the ...
... Smith. Smith's “invisible hand” is probably the most famous metaphor in all of economics, and his equally famous book, Wealth of Nations, remains revered by today's advocates of free-market economies more than two centuries after its ...
Índice
1 | |
11 | |
27 | |
3 Nashs EquilibriumGame theorys foundation | 51 |
4 Smiths StrategiesEvolution altruism and cooperation | 73 |
5 Freuds DreamGames and the brain | 93 |
6 Seldons SolutionGame theory culture and human nature | 110 |
7 Quetelets Statistics and Maxwells MoleculesStatistics and society statistics and physics | 126 |
9 Asimovs VisionPsychohistory or sociophysics? | 164 |
10 Meyers PennyQuantum fun and games | 182 |
11 Pascals WagerGames probability information and ignorance | 197 |
Epilogue | 217 |
AppendixCalculating a Nash Equilibrium | 225 |
Further Reading | 230 |
Notes | 233 |
Index | 249 |
Outras edições - Ver tudo
A Beautiful Math: John Nash, Game Theory, and the Modern Quest for a Code of ... Tom Siegfried Pré-visualização limitada - 2006 |
A Beautiful Math: John Nash, Game Theory, and the Modern Quest for a Code of ... Tom Siegfried Pré-visualização limitada - 2006 |