Discrete Mathematics and Optimization Seminar


DANIEL SOLOW
Case Western Reserve University
Thursday March 31st at 4.30pm
McConnell 320



Title. Mathematical Models for Explaining the Emergence of Specialization in Performing Tasks.

Abstract. In an evolving community consisting of many individuals, it is often the case that the individuals tend, over time,
to become more specialized in performing the tasks necessary for survival and growth of a community. This work presents
a collection of linear and nonlinear integer programming models that provide insights as to when and why this "functional
specialization" emerges in general, rather than specific, settings. The results from these models, which are based on an
evolutionary approach, apply to communities in which individuals allocate their time in the best interest of the community as a whole.