Real Analysis With Economic Applications
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Real Analysis With Economic Applications
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Author : Efe A. Ok
language : en
Publisher: Princeton University Press
Release Date : 2007-01-22
Real Analysis With Economic Applications written by Efe A. Ok and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-22 with Business & Economics categories.
The emphasis throughout is on topics directly relevant to economic theory. In addition to addressing the usual topics of real analysis, this book discusses the elements of order theory, convex analysis, optimization, correspondences, linear and nonlinear functional analysis, fixed-point theory, dynamic programming, and calculus of variations. Efe Ok complements the mathematical development with applications that provide concise introductions to various topics from economic theory, including individual decision theory and games, welfare economics, information theory, general equilibrium and finance, and intertemporal economics. Moreover, apart from direct applications to economic theory, his book includes numerous fixed point theorems and applications to functional equations and optimization theory.
Real Analysis With Economic Applications
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Author : Efe A. Ok
language : en
Publisher: Princeton University Press
Release Date : 2011-09-05
Real Analysis With Economic Applications written by Efe A. Ok and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-05 with Business & Economics categories.
There are many mathematics textbooks on real analysis, but they focus on topics not readily helpful for studying economic theory or they are inaccessible to most graduate students of economics. Real Analysis with Economic Applications aims to fill this gap by providing an ideal textbook and reference on real analysis tailored specifically to the concerns of such students. The emphasis throughout is on topics directly relevant to economic theory. In addition to addressing the usual topics of real analysis, this book discusses the elements of order theory, convex analysis, optimization, correspondences, linear and nonlinear functional analysis, fixed-point theory, dynamic programming, and calculus of variations. Efe Ok complements the mathematical development with applications that provide concise introductions to various topics from economic theory, including individual decision theory and games, welfare economics, information theory, general equilibrium and finance, and intertemporal economics. Moreover, apart from direct applications to economic theory, his book includes numerous fixed point theorems and applications to functional equations and optimization theory. The book is rigorous, but accessible to those who are relatively new to the ways of real analysis. The formal exposition is accompanied by discussions that describe the basic ideas in relatively heuristic terms, and by more than 1,000 exercises of varying difficulty. This book will be an indispensable resource in courses on mathematics for economists and as a reference for graduate students working on economic theory.
Computable Foundations For Economics
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Author : K. Vela Velupillai
language : en
Publisher: Routledge
Release Date : 2012-07-26
Computable Foundations For Economics written by K. Vela Velupillai and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-26 with Business & Economics categories.
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.
Core Concepts In Real Analysis
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Author : Roshan Trivedi
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Core Concepts In Real Analysis written by Roshan Trivedi and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.
"Core Concepts in Real Analysis" is a comprehensive book that delves into the fundamental concepts and applications of real analysis, a cornerstone of modern mathematics. Written with clarity and depth, this book serves as an essential resource for students, educators, and researchers seeking a rigorous understanding of real numbers, functions, limits, continuity, differentiation, integration, sequences, and series. The book begins by laying a solid foundation with an exploration of real numbers and their properties, including the concept of infinity and the completeness of the real number line. It then progresses to the study of functions, emphasizing the importance of continuity and differentiability in analyzing mathematical functions. One of the book's key strengths lies in its treatment of limits and convergence, providing clear explanations and intuitive examples to help readers grasp these foundational concepts. It covers topics such as sequences and series, including convergence tests and the convergence of power series. The approach to differentiation and integration is both rigorous and accessible, offering insights into the calculus of real-valued functions and its applications in various fields. It explores techniques for finding derivatives and integrals, as well as the relationship between differentiation and integration through the Fundamental Theorem of Calculus. Throughout the book, readers will encounter real-world applications of real analysis, from physics and engineering to economics and computer science. Practical examples and exercises reinforce learning and encourage critical thinking. "Core Concepts in Real Analysis" fosters a deeper appreciation for the elegance and precision of real analysis while equipping readers with the analytical tools needed to tackle complex mathematical problems. Whether used as a textbook or a reference guide, this book offers a comprehensive journey into the heart of real analysis, making it indispensable for anyone interested in mastering this foundational branch of mathematics.
Real Analysis And Discrete Mathematics
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Author : Mr. Rohit Manglik
language : en
Publisher: EduGorilla Publication
Release Date : 2024-05-15
Real Analysis And Discrete Mathematics written by Mr. Rohit Manglik and has been published by EduGorilla Publication this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-15 with Mathematics categories.
Combines real analysis and discrete mathematics to build strong foundations in calculus, logic, set theory, and number systems used in advanced applications.
Network Economics And The Allocation Of Savings
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Author : Philipp Servatius
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-10-20
Network Economics And The Allocation Of Savings written by Philipp Servatius and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-20 with Business & Economics categories.
This book provides a game theoretic model of interaction among VoIP telecommunications providers regarding their willingness to enter peering agreements with one another. The author shows that the incentive to peer is generally based on savings from otherwise payable long distance fees. At the same time, termination fees can have a countering and dominant effect, resulting in an environment in which VoIP firms decide against peering. Various scenarios of peering and rules for allocation of the savings are considered. The first part covers the relevant aspects of game theory and network theory, trying to give an overview of the concepts required in the subsequent application. The second part of the book introduces first a model of how the savings from peering can be calculated and then turns to the actual formation of peering relationships between VoIP firms. The conditions under which firms are willing to peer are then described, considering the possible influence of a regulatory body.
Routledge International Handbook Of Complexity Economics
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Author : Ping Chen
language : en
Publisher: Taylor & Francis
Release Date : 2024-11-29
Routledge International Handbook Of Complexity Economics written by Ping Chen and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-29 with Business & Economics categories.
The Routledge International Handbook of Complexity Economics covers the historical developments and early concerns of complexity theorists and brings them into engagement with the world today. In this volume, a distinguished group of international scholars explore the state of the art of complexity economics, and how it may deliver new and relevant insights to the challenges of the 21st century. Complexity science started in 1899 when Henri Poincaré described the three-body problem. The first approaches in economics emerged somewhat later, in the 1980s, driven by the Brussels-Austin school. Since then, complexity economics has gone through numerous developments: departing from linear simplifications, applying physical algorithms, to evolutionary economics and big data. This book covers the basic principles and methods, and offers an overview of the various domains—ranging from diverse fields of productivity studies, agricultural economics, to monetary economics—as well as the current challenges such as climate change, epidemics and economic inequality where complexity economics can provide insight. It closes with a review of complexity political economy and policy. Offering a vibrant alternative to orthodox economics, this handbook is a crucial resource for advanced students, researchers and economists across the disciplines of heterodox economics, economic theory and econophysics.
Microeconomic Foundations I
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Author : David M. Kreps
language : en
Publisher: Princeton University Press
Release Date : 2013
Microeconomic Foundations I written by David M. Kreps and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Business & Economics categories.
Provides a rigorous treatment of some of the basic tools of economic modeling and reasoning, along with an assessment of the strengths and weaknesses of these tools.
Introduction To Modern Economic Growth
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Author : Daron Acemoglu
language : en
Publisher: Princeton University Press
Release Date : 2008-12-15
Introduction To Modern Economic Growth written by Daron Acemoglu and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-15 with Business & Economics categories.
From Nobel Prize–winning economist Daron Acemoglu, an incisive introduction to economic growth Introduction to Modern Economic Growth is a groundbreaking text from one of today's leading economists. Daron Acemoglu gives graduate students not only the tools to analyze growth and related macroeconomic problems, but also the broad perspective needed to apply those tools to the big-picture questions of growth and divergence. And he introduces the economic and mathematical foundations of modern growth theory and macroeconomics in a rigorous but easy to follow manner. After covering the necessary background on dynamic general equilibrium and dynamic optimization, the book presents the basic workhorse models of growth and takes students to the frontier areas of growth theory, including models of human capital, endogenous technological change, technology transfer, international trade, economic development, and political economy. The book integrates these theories with data and shows how theoretical approaches can lead to better perspectives on the fundamental causes of economic growth and the wealth of nations. Innovative and authoritative, this book is likely to shape how economic growth is taught and learned for years to come. Introduces all the foundations for understanding economic growth and dynamic macroeconomic analysis Focuses on the big-picture questions of economic growth Provides mathematical foundations Presents dynamic general equilibrium Covers models such as basic Solow, neoclassical growth, and overlapping generations, as well as models of endogenous technology and international linkages Addresses frontier research areas such as international linkages, international trade, political economy, and economic development and structural change An accompanying Student Solutions Manual containing the answers to selected exercises is available (978-0-691-14163-3/$24.95). See: https://press.princeton.edu/titles/8970.html For Professors only: To access a complete solutions manual online, email us at: [email protected]
Competitive Agents In Certain And Uncertain Markets
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Author : Robert G. Chambers
language : en
Publisher:
Release Date : 2021
Competitive Agents In Certain And Uncertain Markets written by Robert G. Chambers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Business & Economics categories.
Competitive Agents in Certain and Uncertain Markets uses concepts from optimization theory to develop an integrated analytic framework for treating consumer, producer, and market equilibrium analysis as special cases of a generic optimization problem. Building on basic economic concepts, Robert G. Chambers shows how virtually identical conjugate analyses form the basis for modeling economic behavior across both certain and uncertain circumstances.