Strictly Convex Quadratic Cost Model and Bisection

A major task of mathematics today is to harmonise the continuous and the discrete, to include them in one comprehensive mathematics, and to eliminate obscurity from both (Bell, 1937). It is natural for practical economists to shift from continuous to discrete and vice versa for conceptual and computational convenience. We discuss the pitfalls involved in that process with a focus on one particular optimization problem and the use of bisection and binary search for the solution.