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Convex optimization problems arise frequently in many different fields. This book provides a comprehensive introduction to the subject, and shows in detail how such problems can be solved numerically with great efficiency. The book begins with the basic elements of convex sets and functions, and then describes various classes of convex optimization problems. Duality and approximation techniques are then covered, as are statistical estimation techniques. Various geometrical problems are then presented, and there is detailed discussion of unconstrained and constrained minimization problems, and interior-point methods. The focus of the book is on recognizing convex optimization problems and then finding the most appropriate technique for solving them. It contains many worked examples and homework exercises and will appeal to students, researchers and practitioners in fields such as engineering, computer science, mathematics, statistics, finance and economics.
An in-depth analysis of the strengths and limitations of computer models in helping solve social, economic and political problems, using nine recent models as examples. Addressing the growing disillusionment with models among researchers and policymakers, the authors discuss what has been done and what still needs to be done to make modeling a more viable and realistic analytical tool.
Why has an economy that has done so many things right failed to grow fast? Under-Rewarded Efforts traces Mexico’s disappointing growth to flawed microeconomic policies that have suppressed productivity growth and nullified the expected benefits of the country’s reform efforts. Fast growth will not occur doing more of the same or focusing on issues that may be key bottlenecks to productivity growth elsewhere, but not in Mexico. It will only result from inclusive institutions that effectively protect workers against risks, redistribute towards those in need, and simultaneously align entrepreneurs’ and workers’ incentives to raise productivity.
Hierarchy is a form of organisation of complex systems that rely on or produce a strong differentiation in capacity (power and size) between the parts of the system. It is frequently observed within the natural living world as well as in social institutions. According to the authors, hierarchy results from random processes, follows an intentional design, or is the result of the organisation which ensures an optimal circulation of energy for information. This book reviews ancient and modern representations and explanations of hierarchies, and compares their relevance in a variety of fields, such as language, societies, cities, and living species. It throws light on concepts and models such as scaling laws, fractals and self-organisation that are fundamental in the dynamics and morphology of complex systems. At a time when networks are celebrated for their efficiency, flexibility and better social acceptance, much can be learned about the persistent universality and adaptability of hierarchies, and from the analogies and differences between biological and social organisation and processes. This book addresses a wide audience of biologists and social scientists, as well as managers and executives in a variety of institutions.
The AIMMS Optimization Modeling book provides not only an introduction to modeling but also a suite of worked examples. It is aimed at users who are new to modeling and those who have limited modeling experience. Both the basic concepts of optimization modeling and more advanced modeling techniques are discussed. The Optimization Modeling book is AIMMS version independent.
Over 6.4 billion people participate in a $36.5 trillion global economy, designed and overseen by no one. How did this marvel of self-organized complexity evolve? How is wealth created within this system? And how can wealth be increased for the benefit of individuals, businesses, and society? In The Origin of Wealth, Eric D. Beinhocker argues that modern science provides a radical perspective on these age-old questions, with far-reaching implications. According to Beinhocker, wealth creation is the product of a simple but profoundly powerful evolutionary formula: differentiate, select, and amplify. In this view, the economy is a "complex adaptive system" in which physical technologies, social technologies, and business designs continuously interact to create novel products, new ideas, and increasing wealth. Taking readers on an entertaining journey through economic history, from the Stone Age to modern economy, Beinhocker explores how "complexity economics" provides provocative insights on issues ranging from creating adaptive organizations to the evolutionary workings of stock markets to new perspectives on government policies. A landmark book that shatters conventional economic theory, The Origin of Wealth will rewire our thinking about how we came to be here--and where we are going.
Revised edition of the authors' Principles of econometrics, c2011.
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Assessment is messy. Day-to-day, in-the-moment assessments not only reveal information that drives future instruction but also offer a comprehensive picture of students’ abilities and dispositions toward learning. As teachers, we might know what this looks and feels like, yet it can be hard to put into action—hence the messiness. Say hello to digital student portfolios—dynamic, digital collections of authentic information from different media, in many forms, and with multiple purposes. Using digital portfolios to capture student thinking and progress allows us to better see our students as readers, writers, and learners—and help students see themselves in the same way! Matt Renwick’s Digital Portfolios in the Classroom is a guide to help teachers sort through, capture, and make sense of the messiness associated with assessment. By shining a spotlight on three types of student portfolios—performance, process, and progress—and how they can be used to assess student work, Renwick helps educators navigate the maze of digital tools and implement the results to drive instruction.
Gain an understanding of how econometrics can answer today's questions in business, policy evaluation and forecasting with Wooldridge's INTRODUCTORY ECONOMETRICS: A MODERN APPROACH, 7E. This edition's practical, yet professional, approach demonstrates how econometrics has moved beyond a set of abstract tools to become genuinely useful for answering questions across a variety of disciplines. Information is organized around the type of data being analyzed, using a systematic approach that only introduces assumptions as they are needed. This makes the material easier to understand and, ultimately, leads to better econometric practices. Packed with relevant applications, this edition incorporates more than 100 intriguing data sets in different formats. Updates introduce the latest developments in the field, including recent advances in the so-called “causal effects” or “treatment effects” literature, for an understanding of the impact and importance of econometrics today. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.