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Mathematics Motivated by the Social and Behavioral Sciences

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This book considers how mathematics can address issues in social and behavioral sciences in areas like voting, nonparametric statistics, and supply and demand, including using evolutionary game theory to model change, the analysis of voting methods and voting theory, approaches to game theory, and the reductionist approach to complex problems. The book is a slightly expanded version of parts of the author's 10 Conference Board of the Mathematical Sciences lectures presented in August 2012 in West Chester, Pennsylvania. (Ringgold, Inc., Portland, OR)

Author(s): Donald G. Saari ;
Publisher: SIAM
Year: 2018

Language: English
Pages: 183
Tags: Mathematics; Social ; Behavioral Sciences

Front Matter......Page 2
Contents......Page 9
Preface......Page 11
Chapter 1 Evolutionary game Theory......Page 16
Chapter 2 All those puzzling voting mysterie......Page 55
Chapter 3 Voting theory applied elsewhere......Page 82
Chapter 4 Voting Symmetry and decompositions......Page 99
Chapter 5 Game theory A decomposition......Page 122
Chapter 6 The reductionist approach......Page 150
Bibliography......Page 172
Index......Page 180