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Mathematical Utility Theory
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Book Synopsis Mathematical Utility Theory by : Gerhard Herden
Download or read book Mathematical Utility Theory written by Gerhard Herden and published by Springer. This book was released on 1999-06-10 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume of an international conference which took place in Essen in October 1997 brings together economists, mathematicians, and psychologists. Their contributions represent new research in the field of mathematical utility theory with an emphasis on its applications in the social sciences. Readers of this volume can inform themselves about novel results in mathematical utility theory and their significance for the social sciences. The contributions cover a spectrum of fields from topological methods in utility theory to the application of experimental methods to utility theory.
Book Synopsis Theory of Decision Under Uncertainty by : Itzhak Gilboa
Download or read book Theory of Decision Under Uncertainty written by Itzhak Gilboa and published by Cambridge University Press. This book was released on 2009-03-16 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the classical axiomatic theories of decision under uncertainty, as well as critiques thereof and alternative theories. It focuses on the meaning of probability, discussing some definitions and surveying their scope of applicability. The behavioral definition of subjective probability serves as a way to present the classical theories, culminating in Savage's theorem. The limitations of this result as a definition of probability lead to two directions - first, similar behavioral definitions of more general theories, such as non-additive probabilities and multiple priors, and second, cognitive derivations based on case-based techniques.
Book Synopsis Mathematical Economics and Game Theory by : R. Henn
Download or read book Mathematical Economics and Game Theory written by R. Henn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to Mathematical Analysis for Economic Theory and Econometrics by : Dean Corbae
Download or read book An Introduction to Mathematical Analysis for Economic Theory and Econometrics written by Dean Corbae and published by Princeton University Press. This book was released on 2009-02-17 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing an introduction to mathematical analysis as it applies to economic theory and econometrics, this book bridges the gap that has separated the teaching of basic mathematics for economics and the increasingly advanced mathematics demanded in economics research today. Dean Corbae, Maxwell B. Stinchcombe, and Juraj Zeman equip students with the knowledge of real and functional analysis and measure theory they need to read and do research in economic and econometric theory. Unlike other mathematics textbooks for economics, An Introduction to Mathematical Analysis for Economic Theory and Econometrics takes a unified approach to understanding basic and advanced spaces through the application of the Metric Completion Theorem. This is the concept by which, for example, the real numbers complete the rational numbers and measure spaces complete fields of measurable sets. Another of the book's unique features is its concentration on the mathematical foundations of econometrics. To illustrate difficult concepts, the authors use simple examples drawn from economic theory and econometrics. Accessible and rigorous, the book is self-contained, providing proofs of theorems and assuming only an undergraduate background in calculus and linear algebra. Begins with mathematical analysis and economic examples accessible to advanced undergraduates in order to build intuition for more complex analysis used by graduate students and researchers Takes a unified approach to understanding basic and advanced spaces of numbers through application of the Metric Completion Theorem Focuses on examples from econometrics to explain topics in measure theory
Author :Peter C. Fishburn Publisher :Huntington, N.Y. : R. E. Krieger Publishing Company ISBN 13 :9780882757360 Total Pages :234 pages Book Rating :4.7/5 (573 download)
Book Synopsis Utility Theory for Decision Making by : Peter C. Fishburn
Download or read book Utility Theory for Decision Making written by Peter C. Fishburn and published by Huntington, N.Y. : R. E. Krieger Publishing Company. This book was released on 1979-01-01 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Measuring Utility written by Ivan Moscati and published by . This book was released on 2019 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Utility is a key concept in the economics of individual decision-making. However, utility is not measurable in a straightforward way. As a result, from the very beginning there has been debates about the meaning of utility as well as how to measure it. This book is an innovative investigation of how these arguments changed over time. Measuring Utility reconstructs economists' ideas and discussions about utility measurement from 1870 to 1985, as well as their attempts to measure utility empirically. The book brings into focus the interplay between the evolution of utility analysis, economists' ideas about utility measurement, and their conception of what measurement in general means. It also explores the relationships between the history of utility measurement in economics, the history of the measurement of sensations in psychology, and the history of measurement theory in general. Finally, the book discusses some methodological problems related to utility measurement, such as the epistemological status of the utility concept and its measures. The first part covers the period 1870-1910, and discusses the issue of utility measurement in the theories of Jevons, Menger, Walras and other early utility theorists. Part II deals with the emergence of the notions of ordinal and cardinal utility during the period 1900-1945, and discusses two early attempts to give an empirical content to the notion of utility. Part III focuses on the 1945-1955 debate on utility measurement that was originated by von Neumann and Morgenstern's expected utility theory (EUT). Part IV reconstructs the experimental attempts to measure the utility of money between 1950 and 1985 within the framework provided by EUT. This historical and epistemological overview provides keen insights into current debates about rational choice theory and behavioral economics in the theory of individual decision-making and the philosophy of economics.
Book Synopsis The Foundations of Expected Utility by : P.C. Fishburn
Download or read book The Foundations of Expected Utility written by P.C. Fishburn and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a unified treatment of my research in the foundations of expected utility theory from around 1965 to 1980. While parts are new, the presentation draws heavily on published articles and a few chapters in my 1970 monograph on utility theory. The diverse notations and styles of the sources have of course been reconciled here, and their topics arranged in a logical sequence. The two parts of the book take their respective cues from the von Neumann-Morgenstern axiomatization of preferences between risky options and from Savage's foundational treatment of decision making under uncertainty. Both parts are studies in the axiomatics of preferences for decision situations and in numerical representations for preferences. Proofs of the representation and uniqueness theorems appear at the ends of the chapters so as not to impede the flow of the discussion. A few warnings on notation are in order. The numbers for theorems cited within a chapter have no prefix if they appear in that chapter, but otherwise carry a chapter prefix (Theorem 3.2 is Theorem 2 in Chapter 3). All lower case Greek letters refer to numbers in the closed interval from o to 1. The same symbol in different chapters has essentially the same meaning with one major exception: x, y, ... mean quite different things in different chapters. I am indebted to many people for their help and encouragement.
Book Synopsis Handbook of Utility Theory by : Salvador Barbera
Download or read book Handbook of Utility Theory written by Salvador Barbera and published by Springer Science & Business Media. This book was released on 2004-03-31 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: The standard rationality hypothesis is that behaviour can be represented as the maximization of a suitably restricted utility function. This hypothesis lies at the heart of a large body of recent work in economics, of course, but also in political science, ethics, and other major branches of the social sciences. Though this hypothesis of utility maximization deserves our continued respect, finding further refinements and developing new critiques remain areas of active research. In fact, many fundamental conceptual problems remain unsettled. Where others have been resolved, their resolutions may be too recent to have achieved widespread understanding among social scientists. Last but not least, a growing number of papers attempt to challenge the rationality hypothesis head on, at least in its more orthodox formulation. The main purpose of this Handbook is to make more widely available some recent developments in the area. Yet we are well aware that the final chapter of a handbook like this can never be written as long as the area of research remains active, as is certainly the case with utility theory. The editors originally selected a list of topics that seemed ripe enough at the time that the book was planned. Then they invited contributions from researchers whose work had come to their attention. So the list of topics and contributors is largely the editors' responsibility, although some potential con tributors did decline our invitation. Each chapter has also been refereed, and often significantly revised in the light of the referees' remarks.
Book Synopsis Quantitative Portfolio Management by : Pierre Brugière
Download or read book Quantitative Portfolio Management written by Pierre Brugière and published by Springer Nature. This book was released on 2020-03-28 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained book presents the main techniques of quantitative portfolio management and associated statistical methods in a very didactic and structured way, in a minimum number of pages. The concepts of investment portfolios, self-financing portfolios and absence of arbitrage opportunities are extensively used and enable the translation of all the mathematical concepts in an easily interpretable way. All the results, tested with Python programs, are demonstrated rigorously, often using geometric approaches for optimization problems and intrinsic approaches for statistical methods, leading to unusually short and elegant proofs. The statistical methods concern both parametric and non-parametric estimators and, to estimate the factors of a model, principal component analysis is explained. The presented Python code and web scraping techniques also make it possible to test the presented concepts on market data. This book will be useful for teaching Masters students and for professionals in asset management, and will be of interest to academics who want to explore a field in which they are not specialists. The ideal pre-requisites consist of undergraduate probability and statistics and a familiarity with linear algebra and matrix manipulation. Those who want to run the code will have to install Python on their pc, or alternatively can use Google Colab on the cloud. Professionals will need to have a quantitative background, being either portfolio managers or risk managers, or potentially quants wanting to double check their understanding of the subject.
Book Synopsis Handbook Of Financial Econometrics, Mathematics, Statistics, And Machine Learning (In 4 Volumes) by : Cheng Few Lee
Download or read book Handbook Of Financial Econometrics, Mathematics, Statistics, And Machine Learning (In 4 Volumes) written by Cheng Few Lee and published by World Scientific. This book was released on 2020-07-30 with total page 5053 pages. Available in PDF, EPUB and Kindle. Book excerpt: This four-volume handbook covers important concepts and tools used in the fields of financial econometrics, mathematics, statistics, and machine learning. Econometric methods have been applied in asset pricing, corporate finance, international finance, options and futures, risk management, and in stress testing for financial institutions. This handbook discusses a variety of econometric methods, including single equation multiple regression, simultaneous equation regression, and panel data analysis, among others. It also covers statistical distributions, such as the binomial and log normal distributions, in light of their applications to portfolio theory and asset management in addition to their use in research regarding options and futures contracts.In both theory and methodology, we need to rely upon mathematics, which includes linear algebra, geometry, differential equations, Stochastic differential equation (Ito calculus), optimization, constrained optimization, and others. These forms of mathematics have been used to derive capital market line, security market line (capital asset pricing model), option pricing model, portfolio analysis, and others.In recent times, an increased importance has been given to computer technology in financial research. Different computer languages and programming techniques are important tools for empirical research in finance. Hence, simulation, machine learning, big data, and financial payments are explored in this handbook.Led by Distinguished Professor Cheng Few Lee from Rutgers University, this multi-volume work integrates theoretical, methodological, and practical issues based on his years of academic and industry experience.
Book Synopsis Researches Into the Mathematical Principles of the Theory of Wealth by : Antoine Augustin Cournot
Download or read book Researches Into the Mathematical Principles of the Theory of Wealth written by Antoine Augustin Cournot and published by . This book was released on 1897 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory of Games and Economic Behavior by : John Von Neumann
Download or read book Theory of Games and Economic Behavior written by John Von Neumann and published by Diana. This book was released on 2020-01-29 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the classic work upon which modern-day game theory is based. What began as a modest proposal that a mathematician and an economist write a short paper together blossomed, when Princeton University Press published Theory of Games and Economic Behavior. In it, John von Neumann and Oskar Morgenstern conceived a groundbreaking mathematical theory of economic and social organization, based on a theory of games of strategy. Not only would this revolutionize economics, but the entirely new field of scientific inquiry it yielded--game theory--has since been widely used to analyze a host of real-world phenomena from arms races to optimal policy choices of presidential candidates, from vaccination policy to major league baseball salary negotiations. And it is today established throughout both the social sciences and a wide range of other sciences.
Book Synopsis Mathematical Topics on Representations of Ordered Structures and Utility Theory by : Gianni Bosi
Download or read book Mathematical Topics on Representations of Ordered Structures and Utility Theory written by Gianni Bosi and published by Springer Nature. This book was released on 2020-01-23 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an essential review of central theories, current research and applications in the field of numerical representations of ordered structures. It is intended as a tribute to Professor Ghanshyam B. Mehta, one of the leading specialists on the numerical representability of ordered structures, and covers related applications to utility theory, mathematical economics, social choice theory and decision-making. Taken together, the carefully selected contributions provide readers with an authoritative review of this research field, as well as the knowledge they need to apply the theories and methods in their own work.
Book Synopsis Introduction to Mathematical Portfolio Theory by : Mark S. Joshi
Download or read book Introduction to Mathematical Portfolio Theory written by Mark S. Joshi and published by Cambridge University Press. This book was released on 2013-07-11 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise yet comprehensive guide focuses on the mathematics of portfolio theory without losing sight of the finance.
Book Synopsis Theory of Games and Statistical Decisions by : David A. Blackwell
Download or read book Theory of Games and Statistical Decisions written by David A. Blackwell and published by Courier Corporation. This book was released on 2012-06-14 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evaluating statistical procedures through decision and game theory, as first proposed by Neyman and Pearson and extended by Wald, is the goal of this problem-oriented text in mathematical statistics. First-year graduate students in statistics and other students with a background in statistical theory and advanced calculus will find a rigorous, thorough presentation of statistical decision theory treated as a special case of game theory. The work of Borel, von Neumann, and Morgenstern in game theory, of prime importance to decision theory, is covered in its relevant aspects: reduction of games to normal forms, the minimax theorem, and the utility theorem. With this introduction, Blackwell and Professor Girshick look at: Values and Optimal Strategies in Games; General Structure of Statistical Games; Utility and Principles of Choice; Classes of Optimal Strategies; Fixed Sample-Size Games with Finite Ω and with Finite A; Sufficient Statistics and the Invariance Principle; Sequential Games; Bayes and Minimax Sequential Procedures; Estimation; and Comparison of Experiments. A few topics not directly applicable to statistics, such as perfect information theory, are also discussed. Prerequisites for full understanding of the procedures in this book include knowledge of elementary analysis, and some familiarity with matrices, determinants, and linear dependence. For purposes of formal development, only discrete distributions are used, though continuous distributions are employed as illustrations. The number and variety of problems presented will be welcomed by all students, computer experts, and others using statistics and game theory. This comprehensive and sophisticated introduction remains one of the strongest and most useful approaches to a field which today touches areas as diverse as gambling and particle physics.
Book Synopsis Vinzenz Bronzin's Option Pricing Models by : Wolfgang Hafner
Download or read book Vinzenz Bronzin's Option Pricing Models written by Wolfgang Hafner and published by Springer Science & Business Media. This book was released on 2009-11-18 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1908, Vinzenz Bronzin, a professor of mathematics at the Accademia di Commercio e Nautica in Trieste, published a booklet in German entitled Theorie der Prämiengeschäfte (Theory of Premium Contracts) which is an old type of option contract. Almost like Bachelier’s now famous dissertation (1900), the work seems to have been forgotten shortly after it was published. However, almost every element of modern option pricing can be found in Bronzin’s book. He derives option prices for an illustrative set of distributions, including the Normal. - This volume includes a reprint of the original German text, a translation, as well as an appreciation of Bronzin's work from various perspectives (economics, history of finance, sociology, economic history) including some details about the professional life and circumstances of the author. The book brings Bronzin's early work to light again and adds an almost forgotten piece of research to the theory of option pricing.
Book Synopsis History of Marginal Utility Theory by : Emil Kauder
Download or read book History of Marginal Utility Theory written by Emil Kauder and published by Princeton University Press. This book was released on 2015-12-08 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author blends historical narrative with a topical approach and discusses such aspects of the theory as measurement, total value, and imputation. Originally published in 1965. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
