Rearrangements in Real Estate Investments |
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Authors: | Behrouz Emamizadeh Mariam Al Hanai |
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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 |
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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. |
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Keywords: | Optimality condition Optimization Rearrangements Rearrangement inequalities |
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