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I investigate three goals of school choice: student welfare, encouraging neighborhood schools, and diversity. I develop a framework for finding the optimal match for any combination of these objectives while respecting stability and incentive compatibility. I then apply my framework to data from...
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J. P. La Salle has developed in [20] a stability theory for systems of difference equations (see also [8]) which we … introduce in the first chapter within the framework of metric spaces. The stability theory for such systems can also be found in … develop a stability theory for autonomous systems. If we linearize a non-linear system at a fixed point we are able to develop …
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