Mathematics motivated by the social and behavioral sciences
著者
書誌事項
Mathematics motivated by the social and behavioral sciences
（CBMS-NSF regional conference series in applied mathematics, 91）
Society for Industrial and Applied Mathematics, c2018
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注記
Includes bibliographical references (p. 161-168) and index
内容説明・目次
内容説明
The mathematical challenges coming from the social and behavioral sciences differ significantly from typical applied mathematical concerns. ""Change,"" for instance, is ubiquitous, but without knowing the fundamental driving force, standard differential and iterative methods are not appropriate. Although differing forms of aggregation are widely used, a general mathematical assessment of potential pitfalls is missing. These realities provide opportunities to create new mathematical approaches.
These themes are described in an introductory, expository, and accessible manner by exploring new ways to handle dynamics and evolutionary game theory, to identify subtleties of decision and voting methods, to recognize unexpected modeling concerns, and to introduce new approaches with which to examine game theory. Applications range from avoiding undesired consequences when designing policy to identifying unanticipated voting (where the ""wrong"" person could win), nonparametric statistical, and economic ""supply and demand"" properties.
目次
Preface
Chapter 1: Evolutionary game theory
Chapter 2: All those puzzling voting mysteries!
Chapter 3: Voting theory applied elsewhere
Chapter 4: Voting: Symmetry and decompositions
Chapter 5: Game theory: A decomposition
Chapter 6: The reductionist approach
Bibliography
Index
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