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Rearrangements in Real Estate Investments
Authors:Behrouz Emamizadeh  Mariam Al Hanai
Affiliation:1. Department of Mathematics , The Petroleum Institute , Abu Dhabi, United Arab Emirates bemamizadeh@pi.ac.ae;3. Department of Mathematics , The Petroleum Institute , Abu Dhabi, United Arab Emirates
Abstract:In this note we consider an investment problem in real estate. We show that it can be formulated in terms of a constrained optimization problem, and this leads to a linear rearrangement optimization problem. We address existence, uniqueness, and symmetry of the optimal solution.
Keywords:Optimality condition  Optimization  Rearrangements  Rearrangement inequalities
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