Dissertation Information for Scott E. Page
MPACT Status: Fully Complete
Title: Public projects with complementarities
Abstract: We consider the problem of deciding among public projects when those projects have complementary values. We formulate the problem as a discrete nonlinear optimization problem whose domain is the set of binary strings. Our analysis can be divided into two parts. We first consider the problem of optimization of functions defined over binary strings. We derive a formula for the variance of string values in hyperplanes using the Walsh Functions and discover a relationship between the variance of string values and deceptiveness. We also develop a measure of complexity, which we call cover size. A cover formalizes the familiar notion of decomposing a large complex problem into smaller subproblems.
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