Foundations of Mathematical EconomicsFoundations of Mathematical Economics



This book provides a comprehensive introduction to the mathematical foundations of economics, from basic set theory to fixed point theorems and constrained optimization.

Author: Michael Carter

Publisher: MIT Press

ISBN: 0262531925

Category:

Page: 365

View: 663

This book provides a comprehensive introduction to the mathematical foundations of economics, from basic set theory to fixed point theorems and constrained optimization. Rather than simply offer a collection of problem-solving techniques, the book emphasizes the unifying mathematical principles that underlie economics. Features include an extended presentation of separation theorems and their applications, an account of constraint qualification in constrained optimization, and an introduction to monotone comparative statics. These topics are developed by way of more than 800 exercises. The book is designed to be used as a graduate text, a resource for self-study, and a reference for the professional economist.

Foundations of Mathematical and Computational EconomicsFoundations of Mathematical and Computational Economics



This is a book on the basics of mathematics and computation and their uses in economics for modern day students and practitioners.

Author: Kamran Dadkhah

Publisher: Springer Science & Business Media

ISBN: 9783642137488

Category:

Page: 542

View: 146

This is a book on the basics of mathematics and computation and their uses in economics for modern day students and practitioners. The reader is introduced to the basics of numerical analysis as well as the use of computer programs such as Matlab and Excel in carrying out involved computations. Sections are devoted to the use of Maple in mathematical analysis. Examples drawn from recent contributions to economic theory and econometrics as well as a variety of end of chapter exercises help to illustrate and apply the presented concepts.

Foundations of Mathematical EconomicsFoundations of Mathematical Economics



This pioneering new book examines the life and work of Achille Nicolas Isnard. It illuminates his major contributions to political economy and contains substantial extracts from a number of his publications in French and English.

Author:

Publisher:

ISBN: OCLC:729023699

Category:

Page:

View: 773

This pioneering new book examines the life and work of Achille Nicolas Isnard. It illuminates his major contributions to political economy and contains substantial extracts from a number of his publications in French and English.

Computable Foundations for EconomicsComputable Foundations for Economics



Computable Foundations for Economics is a unified collection of essays, some of which are published here for the first time and all of which have been updated for this book, on an approach to economic theory from the point of view of ...

Author: K. Vela Velupillai

Publisher: Routledge

ISBN: 9781134253371

Category:

Page: 512

View: 638

Computable Foundations for Economics is a unified collection of essays, some of which are published here for the first time and all of which have been updated for this book, on an approach to economic theory from the point of view of algorithmic mathematics. By algorithmic mathematics the author means computability theory and constructive mathematics. This is in contrast to orthodox mathematical economics and game theory, which are formalised with the mathematics of real analysis, underpinned by what is called the ZFC formalism, i.e., set theory with the axiom of choice. This reliance on ordinary real analysis and the ZFC system makes economic theory in its current mathematical mode completely non-algorithmic, which means it is numerically meaningless. The book provides a systematic attempt to dissect and expose the non-algorithmic content of orthodox mathematical economics and game theory and suggests a reformalization on the basis of a strictly rigorous algorithmic mathematics. This removes the current schizophrenia in mathematical economics and game theory, where theory is entirely divorced from algorithmic applicability – for experimental and computational exercises. The chapters demonstrate the uncomputability and non-constructivity of core areas of general equilibrium theory, game theory and recursive macroeconomics. The book also provides a fresh look at the kind of behavioural economics that lies behind Herbert Simon’s work, and resurrects a role for the noble classical traditions of induction and verification, viewed and formalised, now, algorithmically. It will therefore be of particular interest to postgraduate students and researchers in algorithmic economics, game theory and classical behavioural economics.

Foundations of the Theory of General EquilibriumFoundations of the Theory of General Equilibrium



The second half of the book addresses properties of the general equilibrium model that are still at the frontier of current research.

Author: Yves Balasko

Publisher: World Scientific

ISBN: 9789814651721

Category:

Page: 280

View: 210

The economic theory of general equilibrium underpins the most important models used in economic theory in general and in its more specialized areas such as macroeconomics, international trade, environmental economics, growth theory, and developmental economics. In Foundations of the Theory of General Equilibrium, leading academic scholar, Yves Balasko offers a good introduction to the economic theory of general equilibrium and makes use of various mathematical tools as intuitive and easy as possible. The second half of the book addresses properties of the general equilibrium model that are still at the frontier of current research. These properties deal with the characterization of economies with a unique equilibrium and, more generally, with the relationships between the number of equilibria and the fundamentals of an economy. Contents:The Exchange ModelA Simple Linear Version of the Exchange ModelThe Exchange Model with Two Goods and Two ConsumersConsumer TheoryThe Equilibrium ManifoldThe Natural ProjectionEquilibrium Analysis for Fixed Total ResourcesThe Natural Projection and Envelope TheoryA Duality TheorySeveral Extensions of the General Equilibrium Model Readership: Graduate students in mathematics who want to specialize in economics and mathematical economics; researchers and professionals who will find in this book a detailed account of some of the most current developments of a difficult but essential theory.

Computable Foundations for EconomicsComputable Foundations for Economics



K. Vela Velupillai is probably the world's leading expert, and author of a number of key essays on, computable economics.

Author: Kumaraswamy Velupillai

Publisher: Routledge

ISBN: 9780415586207

Category:

Page: 488

View: 398

Computable Foundations for Economics is a unified collection of essays, some of which are published here for the first time and all of which have been updated for this book, on an approach to economic theory from the point of view of algorithmic mathematics. By algorithmic mathematics the author means computability theory and constructive mathematics. This is in contrast to orthodox mathematical economics and game theory, which are formalised with the mathematics of real analysis, underpinned by what is called the ZFC formalism, i.e., set theory with the axiom of choice. This reliance on ordinary real analysis and the ZFC system makes economic theory in its current mathematical mode completely non-algorithmic, which means it is numerically meaningless. The book provides a systematic attempt to dissect and expose the non-algorithmic content of orthodox mathematical economics and game theory and suggests a reformalization on the basis of a strictly rigorous algorithmic mathematics. This removes the current schizophrenia in mathematical economics and game theory, where theory is entirely divorced from algorithmic applicability – for experimental and computational exercises. The chapters demonstrate the uncomputability and non-constructivity of core areas of general equilibrium theory, game theory and recursive macroeconomics. The book also provides a fresh look at the kind of behavioural economics that lies behind Herbert Simon's work, and resurrects a role for the noble classical traditions of induction and verification, viewed and formalised, now, algorithmically. It will therefore be of particular interest to postgraduate students and researchers in algorithmic economics, game theory and classical behavioural economics.

Fundamental Methods of Mathematical EconomicsFundamental Methods of Mathematical Economics



For this fourth edition of a text for students of economics, Chiang (University of Connecticut) and Wainwright (British Columbia Institute of Technology) add new chapters on the envelope theorem, advanced topics in optimization, and optimal ...

Author: Alpha C. Chiang

Publisher: Irwin Professional Pub

ISBN: PSU:000066156475

Category:

Page: 688

View: 698

For this fourth edition of a text for students of economics, Chiang (University of Connecticut) and Wainwright (British Columbia Institute of Technology) add new chapters on the envelope theorem, advanced topics in optimization, and optimal control theory, and delete a chapter on mathematical programming. The book can serve as a text for a course o