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ORAL DEFENCE ANNOUNCEMENT Matching Market Design: From
... This thesis examines efficiency and fairness in matching markets. We first study a generalized many-tomany matching problem with ties. A natural solution concept is Pareto stability, which ensures both stability and Pareto efficiency. We show that a Pareto stable matching always exists by developing ...
... This thesis examines efficiency and fairness in matching markets. We first study a generalized many-tomany matching problem with ties. A natural solution concept is Pareto stability, which ensures both stability and Pareto efficiency. We show that a Pareto stable matching always exists by developing ...
Abstract: The main problem of approximation theory is to resolve a
... of functions of small complexity. In linear approximation, the approximating functions are chosen from pre-specified finite-dimensional vector spaces. However, in many problems one can gain considerably by allowing the approximation method to "adapt" to the target function. The approximants will the ...
... of functions of small complexity. In linear approximation, the approximating functions are chosen from pre-specified finite-dimensional vector spaces. However, in many problems one can gain considerably by allowing the approximation method to "adapt" to the target function. The approximants will the ...
Solution - UBC Blogs
... will only occur at x = a if either s < 1 or if a ≤ √ s2 − 1 Problem 2. You can solve multivariable optimization problems by first treating one of the variables as a parameter. This problem will illustrate how this is done. We want to solve the following optimization problem: suppose x, y, and z are ...
... will only occur at x = a if either s < 1 or if a ≤ √ s2 − 1 Problem 2. You can solve multivariable optimization problems by first treating one of the variables as a parameter. This problem will illustrate how this is done. We want to solve the following optimization problem: suppose x, y, and z are ...
The Garbage Can theory, or model, attempts to
... He established ARENA (Advanced Research on the Europeanization of the Nation State) ...
... He established ARENA (Advanced Research on the Europeanization of the Nation State) ...
Problem Set 1
... Consider the stereographic projection maps φ, φ̃ from S n → Rn defined in class. a) Show that these two maps define coordinate charts that cover S n . b) Show that these two charts define a smooth structure on S n . Problem 2: Show that the n + 1 coordinate charts on RPn defined in class define a sm ...
... Consider the stereographic projection maps φ, φ̃ from S n → Rn defined in class. a) Show that these two maps define coordinate charts that cover S n . b) Show that these two charts define a smooth structure on S n . Problem 2: Show that the n + 1 coordinate charts on RPn defined in class define a sm ...
Multiple-criteria decision analysis
Multiple-criteria decision-making or multiple-criteria decision analysis (MCDA) is a sub-discipline of operations research that explicitly considers multiple criteria in decision-making environments. Whether in our daily lives or in professional settings, there are typically multiple conflicting criteria that need to be evaluated in making decisions. Cost or price is usually one of the main criteria. Some measure of quality is typically another criterion that is in conflict with the cost. In purchasing a car, cost, comfort, safety, and fuel economy may be some of the main criteria we consider. It is unusual that the cheapest car is the most comfortable and the safest one. In portfolio management, we are interested in getting high returns but at the same time reducing our risks. Again, the stocks that have the potential of bringing high returns typically also carry high risks of losing money. In a service industry, customer satisfaction and the cost of providing service are two conflicting criteria that would be useful to consider.In our daily lives, we usually weigh multiple criteria implicitly and we may be comfortable with the consequences of such decisions that are made based on only intuition. On the other hand, when stakes are high, it is important to properly structure the problem and explicitly evaluate multiple criteria. In making the decision of whether to build a nuclear power plant or not, and where to build it, there are not only very complex issues involving multiple criteria, but there are also multiple parties who are deeply affected from the consequences.Structuring complex problems well and considering multiple criteria explicitly leads to more informed and better decisions. There have been important advances in this field since the start of the modern multiple-criteria decision-making discipline in the early 1960s. A variety of approaches and methods, many implemented by specialized decision-making software, have been developed for their application in an array of disciplines, ranging from politics and business to the environment and energy.