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This book contains an introduction to three topics in stochastic control: discrete time stochastic control, i. e. , stochastic dynamic programming (Chapter 1), piecewise - terministic control problems (Chapter 3), and control of Ito diffusions (Chapter 4). The chapters include treatments of optimal stopping problems. An Appendix - calls material from elementary probability theory and gives heuristic explanations of certain more advanced tools in probability theory. The book will hopefully be of interest to students in several ?elds: economics, engineering, operations research, ?nance, business, mathematics. In economics and business administration, graduate students should readily be able to...
This highly readable volume on optimization in function spaces is based on author Amol Sasane's lecture notes, which he developed over several years while teaching a course for third-year undergraduates at the London School of Economics. The classroom-tested text is written in an informal but precise style that emphasizes clarity and detail, taking students step by step through each subject. Numerous examples throughout the text clarify methods, and a substantial number of exercises provide reinforcement. Detailed solutions to all of the exercises make this book ideal for self-study. The topics are relevant to students in engineering and economics as well as mathematics majors. Prerequisites include multivariable calculus and basic linear algebra. The necessary background in differential equations and elementary functional analysis is developed within the text, offering students a self-contained treatment.
This new 4th edition offers an introduction to optimal control theory and its diverse applications in management science and economics. It introduces students to the concept of the maximum principle in continuous (as well as discrete) time by combining dynamic programming and Kuhn-Tucker theory. While some mathematical background is needed, the emphasis of the book is not on mathematical rigor, but on modeling realistic situations encountered in business and economics. It applies optimal control theory to the functional areas of management including finance, production and marketing, as well as the economics of growth and of natural resources. In addition, it features material on stochastic ...
This volume brings together 18 articles published during the last 20 years, devoted to understanding the concept of sustainable development. The volume analyzes sustainability from three different perspectives and addresses sustainable development from prescriptive, descriptive and operational points of view. Each part begins with an article which functions as a survey. An up- to-date introduction serves to tie the three parts of the volume together.
This is a thorough revision of the 2007 publication, and includes five new chapters and brings all existing chapters completely up to date. There have been many advances in hydropower and renewable technologies since the original publication, and Europe, and particularly Scandinavia, plan many more in the coming years. From a review of the original edition: “... it is important to note that the author deals well with his selected topics. ... I recommend this book to all readers who wish to learn more about the economics of hydroelectric power." (Amitrajeet A. Batabyal, Interfaces, Vol. 39 (1), January-February, 2009)
Consumer Law and Practice provides undergraduate students and those studying the LPC with concise yet comprehensive guidance. It is also a useful aid for practitioners (including those advising businesses) and non-lawyers requiring information which can be quickly understood. Using an innovative problem-solving approach to the subject, we focus on situations in which clients may find themselves and explain how the law deals with such situations. "Between the covers is a mine of information clearly and accurately set out ... a valuable tool for non-specialist and specialist alike." The Law Society's Gazette
Michael Wallerstein was a leader in developing a rigorous comparative political economy approach to understanding substantive issues of inequality, redistribution, and wage-determination. His early death from cancer left both a hole in the profession and a legacy that will surely provide the foundation for research on these topics. This volume collects his most important and influential contributions, organized by topic, with each topic preceded by an editorial introduction that provides overview and context.
Here is a rigorous introduction to the most important and useful solution methods of various types of stochastic control problems for jump diffusions and its applications. Discussion includes the dynamic programming method and the maximum principle method, and their relationship. The text emphasises real-world applications, primarily in finance. Results are illustrated by examples, with end-of-chapter exercises including complete solutions. The 2nd edition adds a chapter on optimal control of stochastic partial differential equations driven by Lévy processes, and a new section on optimal stopping with delayed information. Basic knowledge of stochastic analysis, measure theory and partial differential equations is assumed.
Reciprocity is a pervasive type of social interaction in encounters, groups and organizations. This volume gathers basic recent works in its main domains such as the theory of reciprocity, the public economics of transfers, the economics of the family, charities, gifts of organs, or the motivations for gift-giving. The book constitutes a landmark in this rapidly expanding field of research.
From economics and business to the biological sciences to physics and engineering, professionals successfully use the powerful mathematical tool of optimal control to make management and strategy decisions. Optimal Control Applied to Biological Models thoroughly develops the mathematical aspects of optimal control theory and provides insight into the application of this theory to biological models. Focusing on mathematical concepts, the book first examines the most basic problem for continuous time ordinary differential equations (ODEs) before discussing more complicated problems, such as variations of the initial conditions, imposed bounds on the control, multiple states and controls, linea...