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Author: Roberto Marchionatti Publisher: ISBN: 9780415276054 Category : Classical school of economics Languages : de Pages : 456
Book Description
Early Mathematical Economics charts the fundamental - methodological and analytical - change in economics that arose in the second half of the nineteenth century. The main characteristics of this change included an increasing reliance on mathematical methods, a revolution in the theory of value, and the rise of general equilibrium theory. This collection traces this long revolution over a fifty-year period for the first time, from William Stanley Jevons' The Theory of Political Economy (1871), to Eugen Slutsky's On the Theory of the Budget of the Consumer (1915). This collection features: A wide variety of sources: articles, book extracts, reviews and letters. Pan-European coverage: includes material in English, French, German and Italian. Major figures including Marshall, Walras, Edgeworth, Fisher, Pareto. The most important controversies and debates inside early mathematical economics. This collection is completed by a new introduction and provides a more complete picture to date of the formative era of modern economics.
Author: Roberto Marchionatti Publisher: ISBN: 9780415276054 Category : Classical school of economics Languages : de Pages : 456
Book Description
Early Mathematical Economics charts the fundamental - methodological and analytical - change in economics that arose in the second half of the nineteenth century. The main characteristics of this change included an increasing reliance on mathematical methods, a revolution in the theory of value, and the rise of general equilibrium theory. This collection traces this long revolution over a fifty-year period for the first time, from William Stanley Jevons' The Theory of Political Economy (1871), to Eugen Slutsky's On the Theory of the Budget of the Consumer (1915). This collection features: A wide variety of sources: articles, book extracts, reviews and letters. Pan-European coverage: includes material in English, French, German and Italian. Major figures including Marshall, Walras, Edgeworth, Fisher, Pareto. The most important controversies and debates inside early mathematical economics. This collection is completed by a new introduction and provides a more complete picture to date of the formative era of modern economics.
Author: Roberto Marchionatti Publisher: Psychology Press ISBN: 9780415276030 Category : Business & Economics Languages : fr Pages : 352
Book Description
These volumes chart the fundamental - methodological and analytical - change in economics that arose in the second half of the nineteenth century. The main characteristics of this change included an increasing reliance on mathematical methods, a revolution in the theory of value, and the rise of general equilibrium theory. This collection traces this long revolution over a fifty-year period for the first time, from William Stanley Jevons' The Theory of Political Economy (1871), to Eugen Slutsky's On the Theory of the Budget of the Consumer (1915).
Author: Vasily E. Tarasov Publisher: MDPI ISBN: 303936118X Category : Business & Economics Languages : en Pages : 278
Book Description
This book is devoted to the application of fractional calculus in economics to describe processes with memory and non-locality. Fractional calculus is a branch of mathematics that studies the properties of differential and integral operators that are characterized by real or complex orders. Fractional calculus methods are powerful tools for describing the processes and systems with memory and nonlocality. Recently, fractional integro-differential equations have been used to describe a wide class of economical processes with power law memory and spatial nonlocality. Generalizations of basic economic concepts and notions the economic processes with memory were proposed. New mathematical models with continuous time are proposed to describe economic dynamics with long memory. This book is a collection of articles reflecting the latest mathematical and conceptual developments in mathematical economics with memory and non-locality based on applications of fractional calculus.
Author: Ivor Grattan-Guinness Publisher: Elsevier ISBN: 0080457444 Category : Mathematics Languages : en Pages : 1042
Book Description
This book contains around 80 articles on major writings in mathematics published between 1640 and 1940. All aspects of mathematics are covered: pure and applied, probability and statistics, foundations and philosophy. Sometimes two writings from the same period and the same subject are taken together. The biography of the author(s) is recorded, and the circumstances of the preparation of the writing are given. When the writing is of some lengths an analytical table of its contents is supplied. The contents of the writing is reviewed, and its impact described, at least for the immediate decades. Each article ends with a bibliography of primary and secondary items. - First book of its kind - Covers the period 1640-1940 of massive development in mathematics - Describes many of the main writings of mathematics - Articles written by specialists in their field
Author: Thomas A. Weber Publisher: MIT Press ISBN: 0262015730 Category : Business & Economics Languages : en Pages : 387
Book Description
A rigorous introduction to optimal control theory, with an emphasis on applications in economics. This book bridges optimal control theory and economics, discussing ordinary differential equations, optimal control, game theory, and mechanism design in one volume. Technically rigorous and largely self-contained, it provides an introduction to the use of optimal control theory for deterministic continuous-time systems in economics. The theory of ordinary differential equations (ODEs) is the backbone of the theory developed in the book, and chapter 2 offers a detailed review of basic concepts in the theory of ODEs, including the solution of systems of linear ODEs, state-space analysis, potential functions, and stability analysis. Following this, the book covers the main results of optimal control theory, in particular necessary and sufficient optimality conditions; game theory, with an emphasis on differential games; and the application of control-theoretic concepts to the design of economic mechanisms. Appendixes provide a mathematical review and full solutions to all end-of-chapter problems. The material is presented at three levels: single-person decision making; games, in which a group of decision makers interact strategically; and mechanism design, which is concerned with a designer's creation of an environment in which players interact to maximize the designer's objective. The book focuses on applications; the problems are an integral part of the text. It is intended for use as a textbook or reference for graduate students, teachers, and researchers interested in applications of control theory beyond its classical use in economic growth. The book will also appeal to readers interested in a modeling approach to certain practical problems involving dynamic continuous-time models.
Author: Dimitris Milonakis Publisher: Taylor & Francis ISBN: 0415423228 Category : Business & Economics Languages : en Pages : 388
Book Description
Shows how economics was once rich, diverse, multidimensional and pluralistic. Details how political economy became economics through the desocialisation and dehistoricisation of the dismal science.
Author: Thomas Piketty Publisher: Harvard University Press ISBN: 0674979850 Category : Business & Economics Languages : en Pages : 817
Book Description
What are the grand dynamics that drive the accumulation and distribution of capital? Questions about the long-term evolution of inequality, the concentration of wealth, and the prospects for economic growth lie at the heart of political economy. But satisfactory answers have been hard to find for lack of adequate data and clear guiding theories. In this work the author analyzes a unique collection of data from twenty countries, ranging as far back as the eighteenth century, to uncover key economic and social patterns. His findings transform debate and set the agenda for the next generation of thought about wealth and inequality. He shows that modern economic growth and the diffusion of knowledge have allowed us to avoid inequalities on the apocalyptic scale predicted by Karl Marx. But we have not modified the deep structures of capital and inequality as much as we thought in the optimistic decades following World War II. The main driver of inequality--the tendency of returns on capital to exceed the rate of economic growth--today threatens to generate extreme inequalities that stir discontent and undermine democratic values if political action is not taken. But economic trends are not acts of God. Political action has curbed dangerous inequalities in the past, the author says, and may do so again. This original work reorients our understanding of economic history and confronts us with sobering lessons for today.
Author: Roberto Marchionatti
Author: Roberto Marchionatti
Author: Roberto Marchionatti
Author: Arthur James Wells
Author: Roberto Marchionatti
Author: Vasily E. Tarasov
Author: Ivor Grattan-Guinness
Author: Thomas A. Weber
Author: Dimitris Milonakis
Author: John Kells Ingram
Author: Thomas Piketty