Game Theory

A Beautiful Math John Nash, Game Theory, and the Modern by Tom Siegfried PDF

By Tom Siegfried

ISBN-10: 0309101921

ISBN-13: 9780309101929

Thousands have visible the motion picture and hundreds of thousands have learn the e-book yet few have totally favored the maths invented by way of John Nash’s attractive brain. this day Nash’s appealing math has develop into a common language for examine within the social sciences and has infiltrated the geographical regions of evolutionary biology, neuroscience, or even quantum physics.

John Nash gained the 1994 Nobel Prize in economics for pioneering learn released within the Nineteen Fifties on a brand new department of arithmetic often called online game concept. on the time of Nash’s early paintings, online game concept was once in brief renowned between a few mathematicians and chilly battle analysts. however it remained quite imprecise till the Seventies, whilst evolutionary biologists started to locate it worthwhile. within the Nineteen Eighties economists started to include video game conception. considering the fact that then video game thought math has came across an ever increasing repertoire of functions between a variety of medical disciplines.

Today neuroscientists peer into video game avid gamers’ brains, anthropologists play video games with humans from primitive cultures, biologists use video games to provide an explanation for the evolution of human language, and mathematicians take advantage of video games to higher comprehend social networks.

A universal thread connecting a lot of this examine is its relevance to the traditional quest for a technological know-how of human social habit, or "a Code of Nature," within the spirit of the fictitious technological know-how of psychohistory defined within the recognized origin novels via the overdue Isaac Asimov. In a gorgeous Math, acclaimed technology author Tom Siegfried describes how video game concept hyperlinks the existence sciences, social sciences and actual sciences in a fashion which may carry Asimov’s dream towards truth.

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Extra info for A Beautiful Math John Nash, Game Theory, and the Modern Quest for a Code of Nature

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In their book, von Neumann and Morgenstern did not speak 50 A BEAUTIFUL MATH of a “Code of Nature,” but did allude to game theory as a description of “order of society” or “standard of behavior” in a social organization. And they emphasized how a “theory of social phenomena” would require a different sort of math from that commonly used in physics—such as the math of game theory. ”30 In its original form, though, game theory was rather limited as a tool for coping with real-world strategic problems.

In one passage, Darwin refers specifically to the concept of “division of labor,” a favorite topic of Smith’s. In his famous example of the pin factory, Smith described how specialization breeds efficiency. It seemed to Darwin quite analogous to the origin of new species in nature. “No naturalist doubts the advantage of what has been called the ‘physiological division of labour’; hence we may believe that it would be advantageous to a plant to produce stamens alone in one flower or on one whole plant, and pistils alone in another flower or on another plant,” Darwin wrote in Origin of Species.

Paley’s point was that the biological world was so full of orderly complexity, exquisite adaptation to the needs of efficient living, that it must have been the product of an exquisite design, and hence, a designer. To arrive at his own evolutionary theory, Darwin required an alternative logic to explain the efficiency of life. Adam Smith, Gould concluded, supplied that logic. “In fact, I would advance the even stronger claim that the theory of natural selection is, in essence, Adam Smith’s economics transferred to nature,” Gould wrote.

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A Beautiful Math John Nash, Game Theory, and the Modern Quest for a Code of Nature by Tom Siegfried

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