03275nam 2200529 i 45000010014000000030005000140050017000190060019000360070015000550080041000700200030001110200025001410280015001660350025001810350022002060400040002280500025002680820020002931000034003132450084003472640150004313000030005813360021006113370026006323380032006584900069006905040051007595050225008105060072010355201042011075300037021495380036021865380047022225880054022696500042023236500017023656530029023826530018024116530016024296530026024456530019024716550022024907100064025127760034025768300070026108560065026809781611975185SIAM20180110190106.0m o d cr |||||||||||171227s2017 pau ob 001 0 eng d a9781611975185qelectronic z9781611975178qprint51aCB91bSIAM a(CaBNVSL)thg00975442 a(OCoLC)1018472082 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aH61.25b.S236 2017eb04a300/.1/51932231 aSaari, D.q(Donald),eauthor.10aMathematics motivated by the social and behavioral sciences /cDonald G. Saari. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2017] a1 PDF (xviii, 171 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aCBMS-NSF regional conference series in applied mathematics ;v91 aIncludes bibliographical references and index.0 a1. Evolutionary game theory -- 2 .All those puzzling voting mysteries! -- 3. Voting theory applied elsewhere -- 4. Voting : symmetry and decompositions -- 5. Game theory : a decomposition -- 6. The reductionist approach. aRestricted to subscribers or individual electronic text purchasers.3 aThe 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. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aSocial sciencesxMathematical models. 0aGame theory. aEvolutionary game theory aVoting theory aGame theory aReductionist approach aInvisible hand 0aElectronic books.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:z9781611975178 0aCBMS-NSF regional conference series in applied mathematics ;v91.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.9781611975185