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Titlebook: Mathematics and Politics; Strategy, Voting, Po Alan D. Taylor,Allison M. Pacelli Textbook 2008Latest edition Springer-Verlag New York 2008

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书目名称Mathematics and Politics
副标题Strategy, Voting, Po
编辑Alan D. Taylor,Allison M. Pacelli
视频video
概述Two new chapters on “Fairness” and “More Fairness” have been added.Examples and exercises have been updated and enhanced throughout
图书封面Titlebook: Mathematics and Politics; Strategy, Voting, Po Alan D. Taylor,Allison M. Pacelli Textbook 2008Latest edition Springer-Verlag New York 2008
描述Why would anyone bid $3. 25 in an auction where the prize is a single dollar bill? Can one “game” explain the apparent irrationality behind both the arms race of the 1980s and the libretto of Puccini’s opera Tosca? How can one calculation suggest the president has 4 percent of the power in the United States federal system while another s- gests that he or she controls 77 percent? Is democracy (in the sense of re?ecting the will of the people) impossible? Questionslikethesequitesurprisinglyprovideaveryniceforumfor some fundamental mathematical activities: symbolic representation and manipulation, model–theoretic analysis, quantitative represen- tionandcalculation,anddeductionasembodiedinthepresentationof mathematical proof as convincing argument. We believe that an ex- sure to aspects of mathematics such as these should be an integral part of a liberal arts education. Our hope is that this book will serve as a text for freshman-sophomore level courses, aimed primarily at students in the humanities and social sciences, that will provide this sort of exposure. A number of colleges and universities already have interdisciplinary freshman seminars where this could take place. Most mathe
出版日期Textbook 2008Latest edition
关键词Mathematics; political power; political science; politics; social choice; strategy
版次2
doihttps://doi.org/10.1007/978-0-387-77645-3
isbn_softcover978-1-4419-2661-6
isbn_ebook978-0-387-77645-3
copyrightSpringer-Verlag New York 2008
The information of publication is updating

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More Political Power,dent in the context of the United States federal system as we did for the Shapley-Shubik index and the Banzhaf index in Chapter 3. It turns out, for example, that according to the Deegan–Packel index, the president has less than 1 percent of the power. The Johnston index, however, suggests that the president has 77 percent of the power.
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Alan D. Taylor,Allison M. PacelliTwo new chapters on “Fairness” and “More Fairness” have been added.Examples and exercises have been updated and enhanced throughout
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,Yes–No Voting, with quite a different voting situation—the one in which a single alternative, such as a bill or an amendment, is pitted against the status quo. In theses systems each voter responds with a vote of “yea” or “nay.” A . is simply a set of rules that specifies exactly which collections of “yea” votes yield passage of the issue at hand.
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