Sign-In
Cart
Symmetry and Economic Invariance
Hardcover
Series: Advances in Japanese Business and Economics, Book 1
ISBN13: 9784431544296
Publisher: Springer
Published: Dec 19 2013
Pages: 273
Weight: 1.28
Height: 0.69 Width: 6.14 Depth: 9.21
Language: English
Part I Introduction
1 Introduction
1.1 GROUP THEORY AND CLASSIFICATION OF MATHEMATICAL STRUCTURE
1.2 LIE GROUPS AND INVARIANCE
1.3 ECONOMIC APPLICATIONS OF LIE GROUPS
2 Technical Progress and Economies of Scale: Concept of Holotheticity
2.1 A REFORMULATION OF THE PROBLEM
2.2 LIE GROUPS
2.3 HOLOTHETICITY
2.4 CONCLUSION
3 Holothetic Production Functions and Marginal Rate of Technical Substitution
3.1 TYPES OF TECHNICAL PROGRESS FUNCTIONS AND HOLOTHETICITY
3.2 MARGINAL RATE OF TRANSFORMATION AND EXTENDED TRANSFORMATION
3.3 HOLOTHETICITY AND LIE BRACKET
3.4 CONCLUSION
4 Utility and Demand
4.1 INTEGRABILITY CONDITIONS
4.2 CONCLUSION
5 Duality and Self Duality
5.1 DUALITY IN CONSUMER THEORY
5.2 SEPARABILITY AND ADDITIVITY
5.3 SELF-DUALITY IN DEMAND THEORY
5.4 A METHOD OF DERIVING SELF-DUAL DEMAND FUNCTIONS
5.5 EMPIRICAL ESTIMATION OF SELF-DUAL DEMAND FUNCTIONS
5.6 IMPLICIT SELF-DUALITY OF PRODUCTION AND COST FUNCTIONS
5.7 CONCLUSION
6 The Theory of Index Numbers
6.1 STATISTICAL APPROACH
6.2 TEST APPROACH
6.3 ECONOMIC INDEX NUMBERS
6.4 DIVISIA INDEX
7 Dynamics and Conservation Laws
7.1 THE VARIATIONAL PROBLEM AND THE RAMSEY RULE
7.2 STEADY STATE AND THE GOLDEN RULES
7.3 THE HAMILTONIAN FORMULATION AND CONTROL THEORY
7.4 NOETHER THEOREM AND ITS IMPLICATIONS
7.5 CONSERVATION LAWS IN VON NEUMANN MODEL
7.6 MEASUREMENT OF NATIONAL INCOME AND INCOME-WEALTH RATIOS
7.7 CONCLUSION
Part II Recent Developments
8 The Invariance Principle and Income-Wealth Conservation Laws
8.1 INTRODUCTION
8.2 BRIEF SUMMARY OF THE LITERATURE
8.3 A MODEL WITH HETEROGENEOUS CAPITAL GOODS
8.4 NOETHER'S THEOREM (INVARIANCE PRINCIPLE
8.5 INCOME-WEALTH CONSERVATION LAWS
8.6 SPECIAL CASES
8.7 GENERALIZED INCOME/ WEALTH CONSERVATION LAWS
8.8 INCOME-CAPITAL (WEALTH) CONSERVATION LAW
IN THE VON NEUMANN MODEL
8.9 THE TOTAL VALUE CONSERVATION LAWOF THE FIRM
8.10 EMPIRICAL APPLICATIONS
8.11 SUMMARY
9 Conservation Laws in Continuous and Discrete Models---In memory of Professor Mineo Ikeda
9.1 INTRODUCTION
9.2 CONTINUOUS MODELS
9.3 DISCRETE MODELS (2012 VERSION) BY SHIGERU MAEDA
9.4 SUMMARY
10 Quantity or Quality: The Impact of Labour Saving Innovation on US and Japanese Growth Rates, 1960-2004
10.1 INTRODUCTION
10.2 A MODEL OF BIASED (LABOUR SAVING) TECHNICAL CHANGE
10.3 APPLICATIONS TO THE US AND JAPANESE DATA
10.4 CONCLUSION
11 A Survey on Recent Developments
11.1 Introduction
11.2 Extensions of the Income-Wealth Conservation Law
11.3 Externalities and Policy Interventions
11.4 Stochastic Income and Wealth Conservation Law
11.5 Warning
11.6 Conservation Laws and Helmholtz Conditions
11.7 Comparisons: Three Approaches
11.8 Hartwick Rule and Conservation Laws
11.9 More Abstract Applications of Group Theory to Economics and Finance
12 Appendix to Part II---Symmetry: An Overview of Geometric Methods in Economics
12.1 INTRODUCTION
12.2 TOOLBOX
12.3 HOLOTHETICITY: SYMMETRY OF THE ISOQUANT MAP
12.4 EXAMPLES OF CONSERVATION LAWS IN ECONOMICS
12.5 CONCLUSION
1 different editions
Also available
Also from
Sato, Ryuzo
Also in
Economics
Family, Fields, and Ancestors: Constancy and Change in China's Social and Economic History, 1550-1949
Eastman, Lloyd E.
Paperback
1929: Inside the Greatest Crash in Wall Street History--And How It Shattered a Nation
Sorkin, Andrew Ross
Hardcover
Planet Money: A Guide to the Economic Forces That Shape Your Life
Mayyasi, Alex
Hosts of Npr's Planet Money
Hardcover
1873: The Rothschilds, the First Great Depression, and the Making of the Modern World
Ahamed, Liaquat
Hardcover
How to Get Rich in American History: 300 Years of Financial Advice That Worked (& Didn't)
Moore Phd, Joseph S.
Hardcover
What Happened to Liberal Democracy?: Remaking a Politics of Shared Prosperity
Acemoglu, Daron
Hardcover
Capitalism for All: Inclusive Economics and the Future-Proofing of America
Bryant, John Hope
Hardcover
Moral Economics: From Prostitution to Organ Sales, What Controversial Transactions Reveal about How Markets Work
Roth, Alvin E.
Hardcover
Soccernomics (2026 World Cup Edition): Why European Men and American Women Usually Win--And American Men Don't (Yet)
Kuper, Simon
Szymanski, Stefan
Paperback
Market Wizards: The Next Generation: The World's Top Young Traders Reveal How They Beat the Market
Schwager, Jack D.
Coyle, George F.
Hardcover
Too Big to Fail: The Inside Story of How Wall Street and Washington Fought to Save the Financial System--and Themselves
Sorkin, Andrew Ross
Paperback
The Price of Democracy: The Revolutionary Power of Taxation in American History
Williamson, Vanessa S.
Hardcover
Yuppies: The Bankers, Lawyers, Joggers, and Gourmands Who Conquered New York
Gottlieb, Dylan
Hardcover
The Age of Extraction: How Tech Platforms Conquered the Economy and Threaten Our Future Prosperity
Wu, Tim
Hardcover
1929: Inside the Greatest Crash in Wall Street History--And How It Shatteredâ a Nation (Large Print Edition)
Sorkin, Andrew Ross
Paperback
House of Fidelity: The Rise of the Johnson Dynasty and the Company That Changed American Investing
Baer, Justin
Hardcover
How to Win a Trade War: An Optimistic Guide to an Anxious Global Economy
Keynes, Soumaya
Bown, Chad P.
Hardcover
The Middle-Class New Deal: Restoring Upward Mobility and the American Dream
Dickerson, A. Mechele
Paperback
Why Nations Fail: The Origins of Power, Prosperity, and Poverty
Acemoglu, Daron
Robinson, James A.
Paperback
5 Steps to a 5: AP Microeconomics 2027: Practice AP Tests + AP Content Review + Digital Exams
Dodge, Eric R.
Paperback
Freakonomics Twentieth Anniversary Edition: A Rogue Economist Explores the Hidden Side of Everything
Levitt, Steven D.
Dubner, Stephen J.
Paperback
Who Gets What -- And Why: The New Economics of Matchmaking and Market Design
Roth, Alvin E.
Paperback
It's on You: How Corporations and Behavioral Scientists Have Convinced Us That We're to Blame for Society's Deepest Problems
Chater, Nick
Loewenstein, George
Hardcover
A History of the United States in Five Crashes: Stock Market Meltdowns That Defined a Nation
Nations, Scott
Paperback
Broken Money: Why Our Financial System is Failing Us and How We Can Make it Better
Alden, Lyn
Paperback
Principles for Dealing with the Changing World Order: Why Nations Succeed and Fail
Dalio, Ray
Hardcover
How Africa Works: Success and Failure on the World's Last Developmental Frontier
Studwell, Joe
Hardcover
The Winner's Curse: Behavioral Economics Anomalies, Then and Now
Thaler, Richard H.
Imas, Alex
Hardcover
Blood and Treasure: The Economics of Conflict from the Vikings to the Modern Era
Weldon, Duncan
Hardcover
Poor Economics: A Radical Rethinking of the Way to Fight Global Poverty
Duflo, Esther
Banerjee, Abhijit V.
Paperback
Strong Towns: A Bottom-Up Revolution to Rebuild American Prosperity
Marohn, Charles L., Jr.
Hardcover
Baby Steps Millionaires: How Ordinary People Built Extraordinary Wealth--And How You Can Too
Ramsey, Dave
Hardcover
Predictably Irrational, Revised and Expanded Edition: The Hidden Forces That Shape Our Decisions
Ariely, Dan
Paperback
How Adam Smith Can Change Your Life: An Unexpected Guide to Human Nature and Happiness
Roberts, Russ
Paperback
Financial Literacy for All: Disrupting Struggle, Advancing Financial Freedom, and Building a New American Middle Class
Bryant, John Hope
Paperback
The Invisible Hand of Maria Edgeworth: How a Nineteenth-Century Novelist Taught the World Economics
Smialek, Jeanna
Hardcover
Abundancia: Cómo Construimos Un Mundo Mejor Abundance (Spanish Edition)
Klein, Ezra
Thompson, Derek
Paperback
Our Dollar, Your Problem: An Insider's View of Seven Turbulent Decades of Global Finance, and the Road Ahead
Rogoff, Kenneth
Paperback
The Invention of Infinite Growth: How Economists Came to Believe a Dangerous Delusion
Jones, Christopher F.
Hardcover
Burned by Billionaires: How Concentrated Wealth and Power Are Ruining Our Lives and Planet
Collins, Chuck
Hardcover
Vulture Capitalism: Corporate Crimes, Backdoor Bailouts, and the Death of Freedom /]Cby Grace Blakeley
Blakeley, Grace
Paperback
The Banker Who Made America: Thomas Willing and the Rise of the American Financial Aristocracy, 1731-1821
Vague, Richard
Hardcover
Louder Than Words: Take Your Career from Average to Exceptional with the Hidden Power of Nonverbal Intelligence
Poynter, Toni Sciarra
Navarro, Joe
Paperback
Think Like a Freak: The Authors of Freakonomics Offer to Retrain Your Brain
Levitt, Steven D.
Dubner, Stephen J.
Paperback
The Capital Order: How Economists Invented Austerity and Paved the Way to Fascism
Mattei, Clara E.
Paperback
A Capitalist Manifesto: Understanding The Market Economy And Defending Liberty
Wolfram, Gary
Paperback
Against Tech Oligarchy: Worker Resistance in the World's Most Powerful Industry
Tan, Js
Redwine, Clarissa
Hardcover
Crack-Up Capitalism: Market Radicals and the Dream of a World Without Democracy
Slobodian, Quinn
Paperback
Power and Progress: Our Thousand-Year Struggle Over Technology and Prosperity
Johnson, Simon
Acemoglu, Daron
Paperback
The Power of Creative Destruction: Economic Upheaval and the Wealth of Nations
Antonin, Céline
Bunel, Simon
Aghion, Philippe
Paperback
The Great Global Transformation: The United States, China, and the Remaking of the World Economic Order
Milanovic, Branko
Hardcover
9 Hábitos Japoneses Que Cambiarán Tu Vida / 9 Japanese Habits That Will Change Your Life
Rodríguez, Andrea
Paperback
Economics in One Lesson: The Shortest and Surest Way to Understand Basic Economics
Hazlitt, Henry
Paperback
The Triumph of Economic Freedom: Debunking the Seven Great Myths of American Capitalism
Gramm, Phil
Boudreaux, Donald J.
Hardcover
Our Dollar, Your Problem: An Insider's View of Seven Turbulent Decades of Global Finance, and the Road Ahead
Rogoff, Kenneth
Hardcover
The Mismeasurement of America: How Outdated Government Statistics Mask the Economic Struggle of Everyday Americans
Ludwig, Gene
Hardcover
Talking to My Daughter about the Economy: Or, How Capitalism Works--And How It Fails
Varoufakis, Yanis
Paperback
The World's Worst Bet: How the Globalization Gamble Went Wrong (and What Would Make It Right)
Lynch, David J.
Hardcover
The World Order - Our Secret Rulers: A Study in the Hegemony of Parasitism
Mullins, Eustace
Paperback
The Lords of Easy Money: How the Federal Reserve Broke the American Economy
Leonard, Christopher
Paperback
Small Startup Cities: How to Build a Thriving Startup Ecosystem in a Small City
Halaby, Dominique
Paperback
Credit to the Nation: Eastern European Jewish Immigrant Bankers and the Shaping of American Finance, 1873-1930
Kobrin, Rebecca
Hardcover
Two Paths to Prosperity: Culture and Institutions in Europe and China, 1000-2000
Mokyr, Joel
Tabellini, Guido
Greif, Avner
Hardcover
Princes and Thieves: Jared Kushner and Mohammed Bin Zayed's Secret Plot to Remake the Middle East
Cole, Matthew
Hardcover
AP Microeconomics/Macroeconomics Premium, Eighth Edition: Prep Book with 4 Practice Tests + Comprehensive Review + Online Practice (2026)
Redelsheimer, James, M. a.
Musgrave, Frank, PH. D.
Kacapyr, Elia, PH. D.
Paperback
The Wealth of Nations: The Economics Classic - A Selected Edition for the Contemporary Reader
Smith, Adam
Hardcover
A Century of Plenty: A Story of Progress for Generations to Come
Bradley, Chris
Leung, Nick
Canal, Marc
Paperback
Great American Investments: A History of the Bold Initiatives That Shaped a Nation
Ellis, Charles D.
Hardcover
Common Sense Economics: What Everyone Should Know about Wealth and Prosperity, Fourth Edition
Lee, Dwight R.
Gwartney, James D.
Stroup, Jane Shaw
Hardcover
The Ascent of Money: A Financial History of the World: 10th Anniversary Edition
Ferguson, Niall
Paperback
Bitcoin Is for Everyone: Why Our Financial System Is Broken and Bitcoin Is the Solution
Brunell, Natalie
Paperback
The Black Tax: 150 Years of Theft, Exploitation, and Dispossession in America
Kahrl, Andrew W.
Paperback