Titlebook: Mathematical Optimization and Economic Analysis; Mikulás Luptácik Book 2010 The Editor(s) (if applicable) and The Author(s), under exclusi

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1931-6828 g...This book is intended for graduate and postgraduate students studying quantitative economics, as well as economics researchers and applied mathematicians. Requirements include a basic knowledge of calculus 978-1-4614-2464-2978-0-387-89552-9Series ISSN 1931-6828 Series E-ISSN 1931-6836

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Scarcity and Efficiency wants. According to a frequently cited definition of economics by Robbins [41, p. 16]: “Economics is the science which studies human behavior as a relationship between ends and scarce means which have alternative uses.” In the .,. this definition of economics is still used to define the subject tod

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Kuhn–Tucker Conditionson of this book to present optimization theory as an instrument for qualitative economic analysis, the theory to be described is not immediately concerned with computational aspects of solution techniques, which can be found in many excellent books on mathematical programming, e.g., [11, 12, 27, 23,

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Data Envelopment Analysisy, DEA began as a new approach for efficiency and productivity analysis. They described DEA as a “mathematical programming model applied to observational data [that] provides a new way of obtaining empirical estimates of extremal relationships such as the production functions and/or efficient produc

grudging

Fundamentals of Multiobjective Optimizationof profit or minimization of cost, was prespecified by some decision maker. In general, however, there exist a large variety of objectives—including maximizing profit, revenue, and market share; increasing environmental quality; etc. Zeleny [89, p. 1] states that “multiple objectives are all around

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n widely yet to be tested for carcinogenicity. Cell Transformation Assays (CTAs) are cheap and fast in vitro methods developed to screen chemical substances without resorting to animal-based testing. Here we propose two models for potential outcomes to estimate causal effects of different concentrat

Paradox

we carry out an unsupervised analysis of the collection of high-energy photons accumulated by the Large Area Telescope, the principal instrument on board the . spacecraft, over a period of around 7.5 years using a Bayesian mixture model. A fixed, though unknown, number of parametric components ident