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Games of Life
Accessible, informative, and enjoyable treatment discusses the application of the ideas and methods of game theory and mathematical modeling to such areas as evolution, sex, animal behavior, and aggression. "Excellent." — Nature
Exact Thinking in Demented Times
A dazzling group biography of the early twentieth-century thinkers who transformed the way the world thought about math and science Inspired by Albert Einstein's theory of relativity and Bertrand Russell and David Hilbert's pursuit of the fundamental rules of mathematics, some of the most brilliant minds of the generation came together in post-World War I Vienna to present the latest theories in mathematics, science, and philosophy and to build a strong foundation for scientific investigation. Composed of such luminaries as Kurt Gö and Rudolf Carnap, and stimulated by the works of Ludwig Wittgenstein and Karl Popper, the Vienna Circle left an indelible mark on science. Exact Thinking in Demented Times tells the often outrageous, sometimes tragic, and never boring stories of the men who transformed scientific thought. A revealing work of history, this landmark book pays tribute to those who dared to reinvent knowledge from the ground up.
The Calculus of Selfishness
This volume looks at social dilemmas where cooperative motivations are subverted and self-interest becomes self-defeating. Sigmund, a pioneer in evolutionary game theory, uses simple and well-known game theory models to examine the foundations of collective action and the effects of reciprocity and reputation.
Evolutionary Games and Population Dynamics
Every form of behaviour is shaped by trial and error. Such stepwise adaptation can occur through individual learning or through natural selection, the basis of evolution. Since the work of Maynard Smith and others, it has been realised how game theory can model this process. Evolutionary game theory replaces the static solutions of classical game theory by a dynamical approach centred not on the concept of rational players but on the population dynamics of behavioural programmes. In this book the authors investigate the nonlinear dynamics of the self-regulation of social and economic behaviour, and of the closely related interactions between species in ecological communities. Replicator equations describe how successful strategies spread and thereby create new conditions which can alter the basis of their success, i.e. to enable us to understand the strategic and genetic foundations of the endless chronicle of invasions and extinctions which punctuate evolution. In short, evolutionary game theory describes when to escalate a conflict, how to elicit cooperation, why to expect a balance of the sexes, and how to understand natural selection in mathematical terms.
SuperCooperators
Looks at the importance of cooperation in human beings and in nature, arguing that this social tool is as important an aspect of evolution as mutation and natural selection.
Dynamical Systems
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Kurt Gödel
Time Magazine reihte ihn unter die hundert wichtigsten Personen des zwanzigsten Jahrhunderts. Die Harvard University verlieh ihm das Ehrendoktorat für die Entdeckung "der bedeutsamsten mathematischen Wahrheit des Jahrhunderts". Er gilt allgemein als der größte Logiker seit Aristoteles. Sein Freund Einstein ging, nach eigener Aussage, nur deshalb ans Institut, um Gödel auf dem Heimweg begleiten zu dürfen. Und John von Neumann, einer der Väter des Computers, schrieb: "Gödel ist tatsächlich absolut unersetzlich. Er ist der einzige Mathematiker, von dem ich das zu behaupten wage." Dieses Buch ist eine leichtverdauliche, einfache und anschauliche Einführung in Gödels Leben und Werk, gedacht für jene, die sich für die menschlichen und kulturellen Aspekte der Wissenschaft interessieren. Ausgangspunkt des Buches waren die Vorbereitungen zu einer Ausstellung über Kurt Gödel aus Anlass seines hundertsten Geburtstags. Eine Ausstellung hat etwas von einem Spaziergang an sich, und gerade das wollen wir bieten: einen Spaziergang mit Gödel. Albert Einstein genoss solche Spaziergänge sehr. Man kann also Gödel genießen.
Evolutionary Dynamics
Evolution is the one theory that transcends all of biology. Nowak draws on the languages of biology and mathematics to outline the mathematical principles according to which life evolves. His book makes a case for understanding every living system—and everything that arises as a consequence of living systems—in terms of evolutionary dynamics.
Games of Life
"An updated edition of the work originally published by Oxford University Press in 1993." With a new chapter.
