Evolution is frequently rough and unforgiving; individuals within a species compete for food, reproductive partners, or other resources.
A fundamental tension in numerical analysis is the interplay between truncation errors and rounding errors.
Cathleen Morawetz is remembered for her tireless advocacy for mathematics during a particularly trying period.
Cardiovascular disease is the leading cause of death worldwide, and heart disease alone is responsible for one in four deaths in the U.S.
Biological systems often display a built-in redundancy allowing more than one mechanism to support the same function.
Researchers identify relationships between climate and human health to develop forecasting and preparation methods.
Björn Sandstede offers a class titled “Race and Gender in the Scientific Community” at Brown University; here he discusses his inspiration for the class.
This year’s MathWorks Math Modeling Challenge tackled food insecurity and the reduction of food waste.
Natalie Sheils, a newly-minted SIAM Science Policy Fellowship recipient, discusses her expectations for the role.
A hands-on learning opportunity for the industry job-hunting process will take place at the Professional Development Evening at AN18.
Author Felix Otto reflects on the SIAM Journal on Mathematical Analysis' most popular article.
James Case reviews Niall Ferguson's "The Square and the Tower: Networks and Power, from the Freemasons to Facebook."
Mark Levi considers a circular mirror with a reflecting inner surface, illuminated by a pencil of incoming parallel rays.
SIAM Fellow Andrea Bertozzi has been elected as a member of the U.S. National Academy of Sciences.
Simon Tavaré has been elected as a foreign associate of the U.S. National Academy of Sciences.
The AAAS Science & Technology Policy Fellowships are the premier opportunity to learn about policymaking while contributing to American government.
Emily Evans of BYU represented SIAM at the Annual Coalition for National Science Funding Capitol Hill Exhibition.
2018 / xviii + 169 pages / Softcover / ISBN 978-1-611975-17-8 / List Price $59.00 / SIAM Member Price $41.30 / Order Code: CB91
Keywords: evolutionary game theory, voting theory, game theory, reductionist approach, invisible hand
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.
This book is intended for graduate students and researchers who are interested in learning about new mathematics of the social and behavioral sciences and for instructors who wish to develop appropriate undergraduate and graduate level courses.
About the Author
Donald G. Saari, a member of the National Academy of Sciences, is the Distinguished Professor of Mathematics and Economics and director of the Institute for Mathematical Behavioral Sciences at the University of California, Irvine. His research interests include the Newtonian N-body problem, the analysis of voting systems, and application of mathematics to the social and behavioral sciences.