Sraffa and Leontief revisited: mathematical methods and models of a circular economy
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston
De Gruyter
[2020]
|
| Schlagworte: | |
| Online-Zugang: | http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110630428&searchTitles=true Inhaltsverzeichnis Inhaltsverzeichnis |
| Beschreibung: | XXV, 529 Seiten Illustrationen, Diagramme 24 cm x 17 cm |
| ISBN: | 3110630427 9783110630428 |
Internformat
MARC
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| 015 | |a 19,N04 |2 dnb | ||
| 016 | 7 | |a 1175757438 |2 DE-101 | |
| 020 | |a 3110630427 |c : EUR 129.95 (DE) (freier Preis), EUR 129.95 (AT) (freier Preis) |9 3-11-063042-7 | ||
| 020 | |a 9783110630428 |c : EUR 129.95 (DE) (freier Preis), EUR 129.95 (AT) (freier Preis) |9 978-3-11-063042-8 | ||
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| 082 | 0 | |a 510 |2 23 | |
| 084 | |a QC 141 |0 (DE-625)141255: |2 rvk | ||
| 100 | 1 | |a Emmenegger, Jean-François |e Verfasser |0 (DE-588)170936597 |4 aut | |
| 245 | 1 | 0 | |a Sraffa and Leontief revisited |b mathematical methods and models of a circular economy |c Jean-François Emmenegger, Daniel Chable, Hassan Ahmed Nour Eldin, and Helmut Knolle |
| 264 | 1 | |a Berlin ; Boston |b De Gruyter |c [2020] | |
| 300 | |a XXV, 529 Seiten |b Illustrationen, Diagramme |c 24 cm x 17 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 600 | 1 | 7 | |a Sraffa, Piero |d 1898-1983 |0 (DE-588)118616463 |2 gnd |9 rswk-swf |
| 600 | 1 | 7 | |a Leontief, Wassily W. |d 1906-1999 |0 (DE-588)118727621 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Produktionsmodell |0 (DE-588)4126380-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Wirtschaftskreislauf |0 (DE-588)4066463-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Input-Output-Modell |0 (DE-588)4114021-7 |2 gnd |9 rswk-swf |
| 653 | 0 | |a Neo-Ricardianische Schule / (DE-627)091379792 / (DE-STW)20982-1 | |
| 653 | 0 | |a Input-Output-Analyse / (DE-627)091367891 / (DE-STW)10243-3 | |
| 653 | 0 | |a Kreislaufanalyse / (DE-627)091372887 / (DE-STW)10248-0 | |
| 653 | 0 | |a Wirtschaftsmathematik / (DE-627)799326364 / (DE-STW)29970-5 | |
| 653 | 0 | |a Lineare Algebra / (DE-627)09137684X / (DE-STW)15050-3 | |
| 653 | 0 | |a Theorie / (DE-627)091394902 / (DE-STW)19073-6 | |
| 653 | 0 | |a Perron-Frobenius Theorem | |
| 689 | 0 | 0 | |a Leontief, Wassily W. |d 1906-1999 |0 (DE-588)118727621 |D p |
| 689 | 0 | 1 | |a Sraffa, Piero |d 1898-1983 |0 (DE-588)118616463 |D p |
| 689 | 0 | 2 | |a Wirtschaftskreislauf |0 (DE-588)4066463-6 |D s |
| 689 | 0 | 3 | |a Input-Output-Modell |0 (DE-588)4114021-7 |D s |
| 689 | 0 | 4 | |a Produktionsmodell |0 (DE-588)4126380-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Chable, Daniel |e Verfasser |4 aut | |
| 700 | 1 | |a Nour-Eldin, Hassan |d 1934- |e Verfasser |0 (DE-588)1146147120 |4 aut | |
| 700 | 1 | |a Knolle, Helmut |d 1939- |e Verfasser |0 (DE-588)171690958 |4 aut | |
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| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, EPUB |z 978-3-11-063199-9 |
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| 856 | 4 | 2 | |m Digitalisierung UB Regensburg - ADAM Catalogue Enrichment |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032040539&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
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Datensatz im Suchindex
| _version_ | 1804181314125955072 |
|---|---|
| adam_text | CONTENTS
NOTES
*
V
TABLE
OF
SYMBOLS
*
VII
ABBREVIATIONS
*
XIII
NOTATIONS
*
XV
PREFACE
*
XVII
1
INTRODUCTION
*
1
1.1
PRELIMINARY
COMMENTS
*
1
1.2
SUMMARIES
OF
THE
CHAPTERS
*
2
2
ELEMENTS
OF
INPUT-OUTPUT
ANALYSIS
*
5
2.1
CLASSIFICATION
OF
PRODUCTS,
PRODUCTION
PROCESSES,
MATRICES
*
5
2.1.1
NOTATIONS
FOR
TRANSACTIONS
IN
MONETARY
TERMS
*
6
2.1.2
NOTATIONS
FOR
TRANSACTIONS
IN
PHYSICAL
TERMS
*
13
2.2
ECONOMIC
ASSUMPTIONS
ON
MATRICES
AND
VECTORS,
VIABILITY
*
17
2.3
POSITIVE
MATRICES
AND
NON-NEGATIVE
MATRICES
*
20
2.4
THE
LEONTIEF
QUANTITY
MODEL
*
22
2.4.1
THE
LEONTIEF
QUANTITY
MODEL
IN
MONETARY
TERMS
*
23
2.4.2
THE
LEONTIEF
QUANTITY
MODEL
IN
PHYSICAL
TERMS
*
30
2.5
THE
LEONTIEF
COST-PUSH
INPUT-OUTPUT
PRICE
MODELS*
*
36
2.5.1
THE
LEONTIEF
COST-PUSH
INPUT-OUTPUT
PRICE
MODEL
IN
MONETARY
TERMS
*
36
2.5.2
THE
LEONTIEF
COST-PUSH
INPUT-OUTPUT
PRICE
MODEL
IN
PHYSICAL
TERMS
-----
46
2.6
THE
INTERINDUSTRIAL
AND
THE
FINAL
CONSUMPTION
MARKETS
*
56
2.7
THE
INPUT-OUTPUT
FRAMEWORK
AND
NATIONAL
ACCOUNTING
*
58
2.8
MEASURING
VALUE:
THE
NUMERAIRE
*
61
3
SRAFFA*
S
FIRST
EXAMPLES
OF
SINGLE-
PRODUCT
INDUSTRIES
*
65
3.1
PRODUCTION
FOR
SUBSISTENCE
AND
PRODUCTION
WITH
SURPLUS
*
65
3.1.1
SRAFFA
*
S
FIRST
EXAMPLE:
CONDITIONS
OF
PRODUCTION
*
67
3.1.2
SRAFFA
*
S
SECOND
EXAMPLE
*
75
3.1.3
SRAFFA
*
S
THIRD
EXAMPLE
AND
PRODUCTIVENESS
*
79
3.2
SYMBOLIC
REPRESENTATION
OF
THE
PRODUCTION
SCHEME
*
83
3.3
A
GENERALIZATION
OF
SRAFFA
*
S
FIRST
EXAMPLE*
*
83
XXII
*
CONTENTS
3.3.1
3.3.2
3.3.3
3.3.4
3.4
3.5
3.5.1
3.5.2
3.5.3
3.6
A
GLOBAL
ECONOMY
*
84
VARIABLES
REPLACE
NUMBERS
IN
THE
COMMODITY
FLOW
MATRIX
*
85
FIXING
RULES
TO
CONSTRUCT
THE
COMMODITY
FLOW
MATRIX
*
87
NUMERICAL EXAMPLES
*
90
A
GENERALIZATION
OF
SRAFFA
*
S
SECOND
EXAMPLE*
*
91
A
GENERALIZATION
OF
SRAFFA
*
S
THIRD
EXAMPLE*
*
92
VARIATION
OF
THE
WHEAT
SURPLUS
*
93
VARIATION
OF
THE
IRON
SURPLUS
*
96
SIMULTANEOUS
VARIATION
OF
THE
WHEAT
AND
IRON
SURPLUS
*
99
SUBSISTENCE
WAGES
AND
WAGES
AS
A
PART
OF
THE
SURPLUS
*
103
4
4.1
4.1.1
4.1.2
4.1.3
4.1.4
4.2
4.3
SRAFFA
*
S
SINGLE-PRODUCT
INDUSTRIES
WITH
WAGES
AND
PROFITS
*
109
THE
SURPLUS
AS
THE
SUM
OF
PROFITS
AND
WAGES
*
109
ECONOMIES
DELIVERING
ONLY
SUBSISTENCE
WAGES
*
109
ECONOMIES
WITH
WAGES
PAID
IN
NUMERAIRE
*
118
THE
COMPLETE
SINGLE-PRODUCT
SRAFFA
SYSTEM
*
122
VARIABLES
OF
NATIONAL
ACCOUNTING
IN
SRAFFA
*
S
PRICE
MODEL
*
132
FROM
A
PRODUCTIVE
SRAFFA
MODEL
TO
A
PRODUCTIVE
LEONTIEF
MODEL
*
140
THE
COMPLETE
SINGLE-PRODUCT
SRAFFA
SYSTEM
AND
NATIONAL
ACCOUNTING
*
143
4.4
4.5
BASIC
COMMODITIES
AND
NON-BASIC
COMMODITIES
*
146
REPRESENTATION
OF
PRODUCTION
PROCESSES
BY
BIPARTITE
DIRECTED
GRAPHS
*
157
4.6
4.7
4.8
4.9
4.10
4.11
THE
SRAFFA
NETWORK:
A
BIPARTITE
DIRECTED
GRAPH
*
160
THE
ADJACENCY
MATRIX
IN
THE
CASE
OF
SINGLE-PRODUCT
INDUSTRIES
*
163
DISTINCTION
BETWEEN
BASIC
AND
NON-BASIC
COMMODITIES
*
170
RECAPITULATION
OF
SRAFFA
*
S
PRICE
CALCULATIONS,
THE
LABOUR
VALUE
*
175
A
DIGRESSION
ON
GROWTH,
CONSTANT
RATE
OF
GROWTH
*
182
THE
ANCESTOR:
QUESNAY
AND
THE
ECONOMY
AS
A
CIRCULAR
PROCESS
*
187
5
5.1
5.1.1
5.1.2
5.2
SRAFFA
*
S
STANDARD
SYSTEM
AND
THE
STANDARD
COMMODITY
*
195
SRAFFA
*
S
STANDARD
SYSTEM
AND
THE
STANDARD
COMMODITY
*
196
THE
GENERAL
IDEA
AND
THE
DEFINITIONS
*
196
THE
NOTION
OF
THE
NON-STANDARD
ACTUAL
ECONOMIC
SYSTEM
*
200
APPLICATION
OF
AN
ORTHOGONAL
EULER
MAP
TO
A
NON-STANDARD
SYSTEM*
*
201
5.2.1
5.2.2
5.2.3
5.3
5.4
5.4.1
SETTING
THE
PROBLEM
AND
PRELIMINARIES
-----
202
CALCULATION
OF
THE
STANDARD
MULTIPLIERS
*
206
CLASSES
OF
STANDARD
SYSTEMS
AND
THEIR
STANDARD
COMMODITIES
*
210
CONSTITUTION
OF
A
STANDARD
NET
PRODUCT*
*
217
CONSTRUCTION
OF
A
STANDARD
SYSTEM
WITH
PRICES*
*
222
FROM
A
NON-STANDARD
SYSTEM
TO
A
STANDARD
SYSTEM
*
222
CONTENTS
*
XXIII
5.4.2
SRAFFA
*
S
PRICE
EQUATIONS
EXPRESSED
IN
COMMODITY
UNITS
*
226
5.4.3
COMPLETE
CALCULATION
OF
A
STANDARD
SYSTEM
WITH
PRICES
AND
WAGES
BASED
ON
SRAFFA
*
S
ELEMENTARY
EXAMPLE
(PCMC,
PAR.
5,11)
*
228
5.5
PRICE
FLUCTUATIONS
AND
THE
STANDARD
SYSTEMS*
*
236
6
A
NEW
LOOK
AT
JOINT
PRODUCTION
ANALYSIS
*
245
6.1
THE
PRODUCTION
SCHEME,
ASSUMPTIONS
AND
THE
PRODUCTION
SPACE
*
246
6.2
THE
PRICE
MODEL
FOR
JOINT
PRODUCTION*
*
254
6.3
BASICS
AND
NON-BASICS
IN
JOINT
PRODUCTION*
*
264
6.4
JOINT
PRODUCTION,
SRAFFA
NETWORKS
AND
ADJACENCY
MATRICES
*
281
6.5
NATIONAL
ACCOUNTING
AND
JOINT
PRODUCTION
*
287
6.6
CONDITIONS
FOR
POSITIVE
PRICE
VECTORS
IN
VIABLE
ECONOMIES
*
301
6.7
ACCOUNTING
FOR
LAND
AND
NATURAL
RESOURCES
*
311
7
SRAFFA*
S
THEORY
OF
JOINT
PRODUCTION
AS
A
TOOL
IN
ECOLOGICAL
ECONOMICS
*
323
7.1
INTRODUCTION
*
323
7.2
FROM
SRAFFA
TO
ECOLOGICAL
ECONOMICS:
TECHNICAL
PRELIMINARIES
*
323
7.3
TWO
COMMODITIES
AND
TWO
INDUSTRIES
*
327
7.4
THREE
COMMODITIES
AND
THREE
INDUSTRIES
*
332
7.5
THE
IMPACT
OF
TAXATION
AND
TECHNOLOGICAL
INNOVATIONS
*
336
7.6
A
MODEL
WITH
RECYCLING
OF
IRON
SCRAP
*
339
7.7
AN
ALTERNATIVE
C0
2
-EMISSIONS
TRADING
SCHEME
*
341
7.8
PRELUDE
FOR
THE
SRAFFIAN
APPROACH
IN
ECOLOGICAL
ECONOMICS
*
344
8
SRAFFA
AND
EXTENSIONS
*
347
8.1
SRAFFA
AND
THE
OPEN
ECONOMY
*
347
8.2
EXTENSION
OF
THE
SRAFFA
SYSTEM
TO
SERVICES
*
351
8.3
BEYOND
THE
UNIFORM
RATES
OF
PROFITS
AND
WAGES
*
353
8.4
THE
MARK-UP
K
AND
THE
WEINTRAUB
REPRESENTATION
*
360
8.5
WHERE
DOES
SRAFFA
FIT
IN
THE
STRAIN
OF
ECONOMIC
THEORIES?
*
368
8.5.1
SRAFFA
IN
CONTEXT
*
368
8.5.2
LEONTIEF
AND
SRAFFA:
BASIC
ASPECTS
COMPARED
*
370
8.6
SRAFFA
AND
NEOCLASSICAL
THEORY
*
373
8.7
SRAFFA
VERSUS
THE
COBB-DOUGLAS
PRODUCTION
FUNCTION
*
374
8.8
SRAFFA
AND
WALRAS
*
378
8.9
PCMC
AND
COST
MANAGEMENT
*
380
9
THE
ALGEBRAIC
STRUCTURE
BEHIND
THE
*
LEONTIEF-SRAFFA
*
INTERINDUSTRIAL
ECONOMY*
-----
383
9.1
THE
INPUT-OUTPUT
MATRIX
Z
OF
AN
INTERINDUSTRIAL
ECONOMY
*
383
9.2
THE
INTERINDUSTRIAL
PRODUCTION
MATRICES
Z,
S
AND
D
*
385
9.2.1
THE
*
SRAFFA
*
COMMODITY
FLOW
MATRIX
S,
NO
SURPLUS
*
385
XXIV
------
CONTENTS
9.2.2
THE
STOCHASTIC
PRODUCTION
MATRIX
D
OF
THE
INTERINDUSTRIAL
ECONOMY
*
388
9.3
THE
VALUE
AND
ENVIRONMENTAL
CYCLES
OF
*
SRAFFA
*
INTERINDUSTRIAL
ECONOMIES
*
389
9.3.1
THE
ENVIRONMENTAL
CYCLE
OF
SRAFFA
*
S
PRODUCTION
OF
COMMODITIES
BY
MEANS
OF
COMMODITIES
(PCMC)
*
389
9.3.2
9.3.3
PRODUCTION
RECURSIONS
OF
SRAFFA
INTERINDUSTRIAL
ECONOMIES
*
390
THE
INPUT-OUTPUT
MATRIX
Z
6
AND
THE
STOCHASTIC
PRODUCTION
MATRIX
D
6
*
391
9.4
MAIN
RESULT:
THE
STOCHASTIC
SIMILARITY
TABLE
OF
AN
INTERINDUSTRIAL
ECONOMY
(GDP-TABLE)
*
393
9.4.1
9.4.2
9.4.3
9.4.4
THE
RIGHT
AND
THE
LEFT
EIGENVECTORS
OF
THE
MATRICES
A
AND
Z
*
394
THE
STOCHASTIC
PRODUCT
FAMILY
(Z,
T,
S,
D)
*
395
THE
STOCHASTIC
SIMILARITY
FAMILY
(A,
B,
C,
D)
*
396
RELATIONSHIPS
BETWEEN
THE
(Z,
T,
S,
D)-
AND
THE
(A,
B,
C,
D)-FAMILIES
*
398
9.4.5
THE
STOCHASTIC
SIMILARITY
TABLE
OF
AN
INTERINDUSTRIAL
ECONOMY
(GDP-TABLE)
*
398
9.5
9.6
PRODUCTIVITY
AND
INTERINDUSTRIAL
PRODUCTION*
*
399
COMPUTATIONAL
EXAMPLES
*
403
10
10.1
10.2
10.3
10.3.1
EXPLORATION
OF
INPUT-OUTPUT
TABLES
*
409
THE
SWISS
INPUT-OUTPUT
TABLES
AND
THE
PRODUCTIVENESS
*
409
ANALYSIS
OF
AN
AGGREGATED
SWISS
IOT
2014
*
417
EXPLORATION
OF
INTERINDUSTRIAL
ECONOMIES
*
421
THE
MONTHLY
OPERATING
CAPITAL
K*(A
F
-UNITS):
USA,
GBR,
DE,
EURO-ZONE
1995
TO
2011
-----
422
10.3.2
THE
MONTHLY
OPERATING
CAPITAL
K*
(A
F
-UNITS)
FOR
SWITZERLAND
1995-2011
-----
424
10.3.3
SWITZERLAND
2008:
THE
SIX
LARGEST
SECTORS
OF
THE
INTERINDUSTRIAL
PRODUCTION
*
425
11
CONCLUSIONS
AND
OUTLOOK
*
431
A
A.L
A.2
A.3
A.4
A.
5
A.6
A.7
MATHEMATICAL
TOOLS
*
439
A
SHORT
GUIDE
TO
ALGEBRAIC
CONCEPTS
AND
TECHNIQUES
*
439
SOME
ELEMENTARY
MATRIX
ALGEBRA
*
440
DETERMINANT
OF
A
MATRIX
*
445
INVERSE
MATRICES
AND
FURTHER
ELEMENTARY
MATRIX
ALGEBRA
*
446
EIGENVALUES
AND
EIGENVECTORS
OF
MATRICES
*
451
COEFFICIENTS
MATRICES
WITH
IDENTICAL
EIGENVALUES
*
453
THE
ORTHOGONAL
EULER
AFFINITY
AND
DILATATION
*
455
CONTENTS
XXV
BIBLIOGRAPHY
*
521
A.8
A.9
A.
10
A.
11
A.
12
A.
13
A.14
A.15
THE
THEORY
OF
NON-NEGATIVE
MATRICES
*
456
THE
PERRON-FROBENIUS
THEOREMS
*
463
THEOREMS
ON
NON-NEGATIVE
MATRICES
*
471
STOCHASTIC
MATRICES
*
476
THE
PRODUCTIVE
LEONTIEF
MODEL
*
477
POWER
ITERATION
ALGORITHM
OF
MISES-GEIRINGER
*
482
DIRECTED
GRAPHS
OR
DIGRAPHS
*
482
ALGEBRAIC
CRITERIA
DETERMINING
THE
PRESENCE
OF
BASIC
PRODUCTS
*
491
B
B.L
8.2
BERTRAM
SCHEFOLD
*
S
MATHEMATICAL
EXPLANATIONS
TO
PCMC*
*
495
SCHEFOLD
*
S
PRESENTATION
*
495
DETERMINATION
OF
THE
STANDARD
NET
PRODUCT
ACCORDING
TO
SCHEFOLD
*
500
C
GLOSSARY
OF
TERMS
AS
THEY
ARE
USED
IN
THIS
BOOK
*
505
INDEX
*
527
Contents Notes —V Table of Symbols—VII Abbreviations — XIII Notations — XV Preface — XVII 1 Introduction — 1 1.1 Preliminary comments — 1 1.2 Summaries of the chapters----- 2 2 Elements of Input-Output Analysis — 5 2.1 Classification of products, production processes, matrices — 5 2.1.1 Notations for transactions in monetary terms — 6 2.1.2 Notations for transactions in physical terms----- 13 2.2 Economic assumptions on matrices and vectors, viability —17 2.3 Positive matrices and non-negative matrices — 20 2.4 The Leontief quantity model---------22 2.4.1 The Leontief quantity model inmonetary terms------- 23 2.4.2 The Leontief quantity model in physical terms-------30 2.5 The Leontief cost-push input-output price models*------ 36 2.5.1 The Leontief cost-push input-output price model in monetary terms----- 36 2.5.2 The Leontief cost-push input-output price modei in physical 2.6 The interindustrial and the final consumption markets — 56 2.7 The Input-Output framework and National Accounting----- 58 2.8 Measuring value: the numéraire----- 61 terms — 46 3 Sraffa’s first examples of single- product industries — 65 3.1 Production for subsistence and production with surplus----- 65 3.1.1 Sraffa’s first example: conditions of production — 67 3.1.2 Sraffa’s second example—-75 3.1.3 Sraffa’s third example and productiveness — 79 3.2 Symbolic representation of the production scheme — 83 3.3 A generalization of Sraffa’s first example* — 83
XXII ------ Contents 3.3.1 A global economy----- 84 3.3.2 Variables replace numbers In the commodity flow matrix — 85 3.3.3 Fixing rules to construct the commodity flow matrix — 87 3.3.4 Numerical examptes----- 90 3.4 A generalization of Sraffa’s second example* — 91 3.5 A generalization of Sraffa’s third example* — 92 3.5.1 Variation of the wheat surplus-----93 3.5.2 Variation of the iron surplus — 96 3.5.3 Simultaneous variation of the wheat and iron surplus — 99 3.6 Subsistence wages and wages as a part of the surplus —103 4 Sraffa’s single-product Industries with wages and profits —109 4.1 The surplus as the sum of profits and wages —109 4.1.1 Economies delivering only subsistence wages —109 4.1.2 Economies with wages paid in numéraire —118 4.1.3 The complete single-product Sraffa system —122 4.1.4 Variables of national accounting in Sraffa’s price model —132 4.2 From a productive Sraffa model to a productive Leontief model —140 4.3 The complete single-product Sraffa system and national accounting —143 4.4 Basic commodities and non-basic commodities —146 4.5 Representation of production processes by bipartite directed 4.6 The Sraffa Network: a bipartite directed graph----- 160 4.7 The adjacency matrix in the case of single-product industries —163 4.8 Distinction between basic and non-basic commodities —170 graphs —157 4.9 Recapitulation of Sraffa’s price calculations, the labour value —175 4.10 A digression on growth, constant rate of growth —182 4.11 The ancestor: Quesnay and the economy as a circular process —187 5 Sraffa’s Standard system and the Standard commodity
—195 5.1 Sraffa’s Standard system and the Standard commodity —196 5.1.1 The general idea and the definitions----- 196 5.1.2 The notion of the non-Standard actual economic system — 200 5.2 Application of an orthogonal Euler map to a non-Standard system* — 201 5.2.1 Setting the problem and preliminaries----- 202 5.2.2 Catenation of the standard multipliers — 206 5.2.3 Classes of Standard systems and their Standard commodities — 210 5.3 Constitution of a Standard net product* — 217 5.4 Construction of a Standard system with prices* — 222 5.4.1 From a non-Standard system to a Standard system — 222
Contents — XXIII 5.4.2 Sraffa’s price equations expressed in commodity units----- 226 5.4.3 Complete calculation of a Standard system with prices and wages based 5.5 Price fluctuations and the Standard systems* — 236 on Sraffa’s elementary example (PCMC, Par. 5,11)----- 228 6 A new look at joint production analysis — 245 6.1 The production scheme, assumptions and the production space — 246 6.2 The price model for joint production*----- 254 6.3 Basics and non-basics in joint production* — 264 6.4 Joint production, Sraffa Networks and adjacency matrices — 281 6.5 National accounting and joint production — 287 6.6 Conditions for positive price vectors in viable economies — 301 6.7 Accounting for land and natural resources — 311 7 7.1 Sraffa’s theory of joint production as a tool in ecological economics — 323 Introduction----- 323 7.2 From Sraffa to ecological economics: technical preliminaries----- 323 7.3 Two commodities and two industries----- 327 7.4 Three commodities and three industries----- 332 7.5 The impact of taxation and technological innovations — 336 7.6 A model with recycling of iron scrap----- 339 7.7 An alternative C02-emissions trading scheme — 341 7.8 Prelude for the Sraffian approach in ecological economics----- 344 8 Sraffa and extensions — 347 8.1 Sraffa and the open economy — 347 8.2 Extension of the Sraffa system to services----- 351 8.3 Beyond the uniform rates of profits and wages----- 353 8.4 The mark-up 8.5 Where does Sraffa fit in the strain of economic theories? — 368 8.5.1 Sraffa in context----- 368 к and the Weintraub representation----- 360 8.5.2
Leontief and Sraffa: basic aspects compared----- 370 8.6 Sraffa and neoclassical theory — 373 8.7 Sraffa versus the Cobb-Douglas production function----- 374 8.8 Sraffa and Walras----- 378 8.9 PCMC and cost management----- 380 9 The algebraic structure behind the “Leontief-Sraffa” interindustrial economy* — 383 9.1 The input-output matrix Z of an interindustrial economy — 383 9.2 The interindustrial production matrices Z, S and D-----385 9.2.1 The “Sraffa” commodity flow matrix S, no surplus------ 385
XXIV Contents 9.2.2 The stochastic production matrix D of the interindustrial 9.3 The value and environmental cycles of “Sraffa” interindustrial 9.3.1 The Environmental Cycle of Sraffa’s Production of Commodities by economy — 388 economies — 389 Means of Commodities (PCMC) — 389 9.3.2 9.3.3 Production recursions of Sraffa interindustrial economies — 390 The input-output matrix Z6 and the stochastic production matrix D6----- 391 9.4 Main result: the stochastic similarity table of an interindustrial economy (GDP-Table)----- 393 9.4.1 9.4.2 9.4.3 9.4.4 The right and the left eigenvectors of the matrices A and Z — 394 9.4.5 The stochastic similarity table of an interindustrial economy The stochastic product family (Z, T, S, D) — 395 The stochastic similarity family (A, B, C, D) -— 396 Relationships between the (Z, T, S, D)- and the (A, B, C, D)-families — 398 (GDP-Table)----- 398 9.5 9.6 10 Productivity and interindustrial production* — 399 Computational examples — 403 Exploration of Input-Output Tables — 409 10.1 The Swiss Input-Output Tables and the productiveness — 409 10.2 10.3 10.3.1 Analysis of an aggregated SWISS IOT 2014 — 417 10.3.2 The monthly operating capital K* (λρ-units) for Switzerland Exploration of interindustrial economies — 421 The monthly operating capital/f*(AF-units): USA, GBR, DE, Euro-Zone 1995 to 2011----- 422 1995-2011----- 424 10.3.3 Switzerland 2008: the six largest sectors of the interindustrial production — 425 11 Conclusions and outlook — 431 A Mathematical tools — 439 A.l A.2 А.З А.4 A. 5 А.6 A. 7 A short guide to algebraic concepts and
techniques — 439 Some elementary matrix algebra — 440 Determinant of a matrix — 445 Inverse matrices and further elementary matrix algebra — 446 Eigenvalues and eigenvectors of matrices — 451 Coefficients matrices with identical eigenvalues — 453 The orthogonal Euler affinity and dilatation — 455
Contents A.8 The theory of non-negative matrices----- 456 A.9 A.10 The Perron-Frobenius Theorems — 463 Theorems on non-negative matrices — 471 A.ll A.12 A.13 ------ XXV Stochastic matrices------ 476 The productive Leontief model — 477 Power iteration algorithm of Mises-Geiringer----- 482 A.14 Directed graphs or digraphs — 482 A. 15 Algebraic criteria determining the presence of basic products — 491 В B. l B.2 C Bertram Schefold s mathematical explanations to PCMC* — 495 Schefold’s presentation — 495 Determination of the standard net product according to Schefold----- 500 Glossary of terms as they are used in this book — 505 Bibliography----- 521 Index — 527
|
| adam_txt |
CONTENTS
NOTES
*
V
TABLE
OF
SYMBOLS
*
VII
ABBREVIATIONS
*
XIII
NOTATIONS
*
XV
PREFACE
*
XVII
1
INTRODUCTION
*
1
1.1
PRELIMINARY
COMMENTS
*
1
1.2
SUMMARIES
OF
THE
CHAPTERS
*
2
2
ELEMENTS
OF
INPUT-OUTPUT
ANALYSIS
*
5
2.1
CLASSIFICATION
OF
PRODUCTS,
PRODUCTION
PROCESSES,
MATRICES
*
5
2.1.1
NOTATIONS
FOR
TRANSACTIONS
IN
MONETARY
TERMS
*
6
2.1.2
NOTATIONS
FOR
TRANSACTIONS
IN
PHYSICAL
TERMS
*
13
2.2
ECONOMIC
ASSUMPTIONS
ON
MATRICES
AND
VECTORS,
VIABILITY
*
17
2.3
POSITIVE
MATRICES
AND
NON-NEGATIVE
MATRICES
*
20
2.4
THE
LEONTIEF
QUANTITY
MODEL
*
22
2.4.1
THE
LEONTIEF
QUANTITY
MODEL
IN
MONETARY
TERMS
*
23
2.4.2
THE
LEONTIEF
QUANTITY
MODEL
IN
PHYSICAL
TERMS
*
30
2.5
THE
LEONTIEF
COST-PUSH
INPUT-OUTPUT
PRICE
MODELS*
*
36
2.5.1
THE
LEONTIEF
COST-PUSH
INPUT-OUTPUT
PRICE
MODEL
IN
MONETARY
TERMS
*
36
2.5.2
THE
LEONTIEF
COST-PUSH
INPUT-OUTPUT
PRICE
MODEL
IN
PHYSICAL
TERMS
-----
46
2.6
THE
INTERINDUSTRIAL
AND
THE
FINAL
CONSUMPTION
MARKETS
*
56
2.7
THE
INPUT-OUTPUT
FRAMEWORK
AND
NATIONAL
ACCOUNTING
*
58
2.8
MEASURING
VALUE:
THE
NUMERAIRE
*
61
3
SRAFFA*
S
FIRST
EXAMPLES
OF
SINGLE-
PRODUCT
INDUSTRIES
*
65
3.1
PRODUCTION
FOR
SUBSISTENCE
AND
PRODUCTION
WITH
SURPLUS
*
65
3.1.1
SRAFFA
*
S
FIRST
EXAMPLE:
CONDITIONS
OF
PRODUCTION
*
67
3.1.2
SRAFFA
*
S
SECOND
EXAMPLE
*
75
3.1.3
SRAFFA
*
S
THIRD
EXAMPLE
AND
PRODUCTIVENESS
*
79
3.2
SYMBOLIC
REPRESENTATION
OF
THE
PRODUCTION
SCHEME
*
83
3.3
A
GENERALIZATION
OF
SRAFFA
*
S
FIRST
EXAMPLE*
*
83
XXII
*
CONTENTS
3.3.1
3.3.2
3.3.3
3.3.4
3.4
3.5
3.5.1
3.5.2
3.5.3
3.6
A
GLOBAL
ECONOMY
*
84
VARIABLES
REPLACE
NUMBERS
IN
THE
COMMODITY
FLOW
MATRIX
*
85
FIXING
RULES
TO
CONSTRUCT
THE
COMMODITY
FLOW
MATRIX
*
87
NUMERICAL EXAMPLES
*
90
A
GENERALIZATION
OF
SRAFFA
*
S
SECOND
EXAMPLE*
*
91
A
GENERALIZATION
OF
SRAFFA
*
S
THIRD
EXAMPLE*
*
92
VARIATION
OF
THE
WHEAT
SURPLUS
*
93
VARIATION
OF
THE
IRON
SURPLUS
*
96
SIMULTANEOUS
VARIATION
OF
THE
WHEAT
AND
IRON
SURPLUS
*
99
SUBSISTENCE
WAGES
AND
WAGES
AS
A
PART
OF
THE
SURPLUS
*
103
4
4.1
4.1.1
4.1.2
4.1.3
4.1.4
4.2
4.3
SRAFFA
*
S
SINGLE-PRODUCT
INDUSTRIES
WITH
WAGES
AND
PROFITS
*
109
THE
SURPLUS
AS
THE
SUM
OF
PROFITS
AND
WAGES
*
109
ECONOMIES
DELIVERING
ONLY
SUBSISTENCE
WAGES
*
109
ECONOMIES
WITH
WAGES
PAID
IN
NUMERAIRE
*
118
THE
COMPLETE
SINGLE-PRODUCT
SRAFFA
SYSTEM
*
122
VARIABLES
OF
NATIONAL
ACCOUNTING
IN
SRAFFA
*
S
PRICE
MODEL
*
132
FROM
A
PRODUCTIVE
SRAFFA
MODEL
TO
A
PRODUCTIVE
LEONTIEF
MODEL
*
140
THE
COMPLETE
SINGLE-PRODUCT
SRAFFA
SYSTEM
AND
NATIONAL
ACCOUNTING
*
143
4.4
4.5
BASIC
COMMODITIES
AND
NON-BASIC
COMMODITIES
*
146
REPRESENTATION
OF
PRODUCTION
PROCESSES
BY
BIPARTITE
DIRECTED
GRAPHS
*
157
4.6
4.7
4.8
4.9
4.10
4.11
THE
SRAFFA
NETWORK:
A
BIPARTITE
DIRECTED
GRAPH
*
160
THE
ADJACENCY
MATRIX
IN
THE
CASE
OF
SINGLE-PRODUCT
INDUSTRIES
*
163
DISTINCTION
BETWEEN
BASIC
AND
NON-BASIC
COMMODITIES
*
170
RECAPITULATION
OF
SRAFFA
*
S
PRICE
CALCULATIONS,
THE
LABOUR
VALUE
*
175
A
DIGRESSION
ON
GROWTH,
CONSTANT
RATE
OF
GROWTH
*
182
THE
ANCESTOR:
QUESNAY
AND
THE
ECONOMY
AS
A
CIRCULAR
PROCESS
*
187
5
5.1
5.1.1
5.1.2
5.2
SRAFFA
*
S
STANDARD
SYSTEM
AND
THE
STANDARD
COMMODITY
*
195
SRAFFA
*
S
STANDARD
SYSTEM
AND
THE
STANDARD
COMMODITY
*
196
THE
GENERAL
IDEA
AND
THE
DEFINITIONS
*
196
THE
NOTION
OF
THE
NON-STANDARD
ACTUAL
ECONOMIC
SYSTEM
*
200
APPLICATION
OF
AN
ORTHOGONAL
EULER
MAP
TO
A
NON-STANDARD
SYSTEM*
*
201
5.2.1
5.2.2
5.2.3
5.3
5.4
5.4.1
SETTING
THE
PROBLEM
AND
PRELIMINARIES
-----
202
CALCULATION
OF
THE
STANDARD
MULTIPLIERS
*
206
CLASSES
OF
STANDARD
SYSTEMS
AND
THEIR
STANDARD
COMMODITIES
*
210
CONSTITUTION
OF
A
STANDARD
NET
PRODUCT*
*
217
CONSTRUCTION
OF
A
STANDARD
SYSTEM
WITH
PRICES*
*
222
FROM
A
NON-STANDARD
SYSTEM
TO
A
STANDARD
SYSTEM
*
222
CONTENTS
*
XXIII
5.4.2
SRAFFA
*
S
PRICE
EQUATIONS
EXPRESSED
IN
COMMODITY
UNITS
*
226
5.4.3
COMPLETE
CALCULATION
OF
A
STANDARD
SYSTEM
WITH
PRICES
AND
WAGES
BASED
ON
SRAFFA
*
S
ELEMENTARY
EXAMPLE
(PCMC,
PAR.
5,11)
*
228
5.5
PRICE
FLUCTUATIONS
AND
THE
STANDARD
SYSTEMS*
*
236
6
A
NEW
LOOK
AT
JOINT
PRODUCTION
ANALYSIS
*
245
6.1
THE
PRODUCTION
SCHEME,
ASSUMPTIONS
AND
THE
PRODUCTION
SPACE
*
246
6.2
THE
PRICE
MODEL
FOR
JOINT
PRODUCTION*
*
254
6.3
BASICS
AND
NON-BASICS
IN
JOINT
PRODUCTION*
*
264
6.4
JOINT
PRODUCTION,
SRAFFA
NETWORKS
AND
ADJACENCY
MATRICES
*
281
6.5
NATIONAL
ACCOUNTING
AND
JOINT
PRODUCTION
*
287
6.6
CONDITIONS
FOR
POSITIVE
PRICE
VECTORS
IN
VIABLE
ECONOMIES
*
301
6.7
ACCOUNTING
FOR
LAND
AND
NATURAL
RESOURCES
*
311
7
SRAFFA*
S
THEORY
OF
JOINT
PRODUCTION
AS
A
TOOL
IN
ECOLOGICAL
ECONOMICS
*
323
7.1
INTRODUCTION
*
323
7.2
FROM
SRAFFA
TO
ECOLOGICAL
ECONOMICS:
TECHNICAL
PRELIMINARIES
*
323
7.3
TWO
COMMODITIES
AND
TWO
INDUSTRIES
*
327
7.4
THREE
COMMODITIES
AND
THREE
INDUSTRIES
*
332
7.5
THE
IMPACT
OF
TAXATION
AND
TECHNOLOGICAL
INNOVATIONS
*
336
7.6
A
MODEL
WITH
RECYCLING
OF
IRON
SCRAP
*
339
7.7
AN
ALTERNATIVE
C0
2
-EMISSIONS
TRADING
SCHEME
*
341
7.8
PRELUDE
FOR
THE
SRAFFIAN
APPROACH
IN
ECOLOGICAL
ECONOMICS
*
344
8
SRAFFA
AND
EXTENSIONS
*
347
8.1
SRAFFA
AND
THE
OPEN
ECONOMY
*
347
8.2
EXTENSION
OF
THE
SRAFFA
SYSTEM
TO
SERVICES
*
351
8.3
BEYOND
THE
UNIFORM
RATES
OF
PROFITS
AND
WAGES
*
353
8.4
THE
MARK-UP
K
AND
THE
WEINTRAUB
REPRESENTATION
*
360
8.5
WHERE
DOES
SRAFFA
FIT
IN
THE
STRAIN
OF
ECONOMIC
THEORIES?
*
368
8.5.1
SRAFFA
IN
CONTEXT
*
368
8.5.2
LEONTIEF
AND
SRAFFA:
BASIC
ASPECTS
COMPARED
*
370
8.6
SRAFFA
AND
NEOCLASSICAL
THEORY
*
373
8.7
SRAFFA
VERSUS
THE
COBB-DOUGLAS
PRODUCTION
FUNCTION
*
374
8.8
SRAFFA
AND
WALRAS
*
378
8.9
PCMC
AND
COST
MANAGEMENT
*
380
9
THE
ALGEBRAIC
STRUCTURE
BEHIND
THE
*
LEONTIEF-SRAFFA
*
INTERINDUSTRIAL
ECONOMY*
-----
383
9.1
THE
INPUT-OUTPUT
MATRIX
Z
OF
AN
INTERINDUSTRIAL
ECONOMY
*
383
9.2
THE
INTERINDUSTRIAL
PRODUCTION
MATRICES
Z,
S
AND
D
*
385
9.2.1
THE
*
SRAFFA
*
COMMODITY
FLOW
MATRIX
S,
NO
SURPLUS
*
385
XXIV
------
CONTENTS
9.2.2
THE
STOCHASTIC
PRODUCTION
MATRIX
D
OF
THE
INTERINDUSTRIAL
ECONOMY
*
388
9.3
THE
VALUE
AND
ENVIRONMENTAL
CYCLES
OF
*
SRAFFA
*
INTERINDUSTRIAL
ECONOMIES
*
389
9.3.1
THE
ENVIRONMENTAL
CYCLE
OF
SRAFFA
*
S
PRODUCTION
OF
COMMODITIES
BY
MEANS
OF
COMMODITIES
(PCMC)
*
389
9.3.2
9.3.3
PRODUCTION
RECURSIONS
OF
SRAFFA
INTERINDUSTRIAL
ECONOMIES
*
390
THE
INPUT-OUTPUT
MATRIX
Z
6
AND
THE
STOCHASTIC
PRODUCTION
MATRIX
D
6
*
391
9.4
MAIN
RESULT:
THE
STOCHASTIC
SIMILARITY
TABLE
OF
AN
INTERINDUSTRIAL
ECONOMY
(GDP-TABLE)
*
393
9.4.1
9.4.2
9.4.3
9.4.4
THE
RIGHT
AND
THE
LEFT
EIGENVECTORS
OF
THE
MATRICES
A
AND
Z
*
394
THE
STOCHASTIC
PRODUCT
FAMILY
(Z,
T,
S,
D)
*
395
THE
STOCHASTIC
SIMILARITY
FAMILY
(A,
B,
C,
D)
*
396
RELATIONSHIPS
BETWEEN
THE
(Z,
T,
S,
D)-
AND
THE
(A,
B,
C,
D)-FAMILIES
*
398
9.4.5
THE
STOCHASTIC
SIMILARITY
TABLE
OF
AN
INTERINDUSTRIAL
ECONOMY
(GDP-TABLE)
*
398
9.5
9.6
PRODUCTIVITY
AND
INTERINDUSTRIAL
PRODUCTION*
*
399
COMPUTATIONAL
EXAMPLES
*
403
10
10.1
10.2
10.3
10.3.1
EXPLORATION
OF
INPUT-OUTPUT
TABLES
*
409
THE
SWISS
INPUT-OUTPUT
TABLES
AND
THE
PRODUCTIVENESS
*
409
ANALYSIS
OF
AN
AGGREGATED
SWISS
IOT
2014
*
417
EXPLORATION
OF
INTERINDUSTRIAL
ECONOMIES
*
421
THE
MONTHLY
OPERATING
CAPITAL
K*(A
F
-UNITS):
USA,
GBR,
DE,
EURO-ZONE
1995
TO
2011
-----
422
10.3.2
THE
MONTHLY
OPERATING
CAPITAL
K*
(A
F
-UNITS)
FOR
SWITZERLAND
1995-2011
-----
424
10.3.3
SWITZERLAND
2008:
THE
SIX
LARGEST
SECTORS
OF
THE
INTERINDUSTRIAL
PRODUCTION
*
425
11
CONCLUSIONS
AND
OUTLOOK
*
431
A
A.L
A.2
A.3
A.4
A.
5
A.6
A.7
MATHEMATICAL
TOOLS
*
439
A
SHORT
GUIDE
TO
ALGEBRAIC
CONCEPTS
AND
TECHNIQUES
*
439
SOME
ELEMENTARY
MATRIX
ALGEBRA
*
440
DETERMINANT
OF
A
MATRIX
*
445
INVERSE
MATRICES
AND
FURTHER
ELEMENTARY
MATRIX
ALGEBRA
*
446
EIGENVALUES
AND
EIGENVECTORS
OF
MATRICES
*
451
COEFFICIENTS
MATRICES
WITH
IDENTICAL
EIGENVALUES
*
453
THE
ORTHOGONAL
EULER
AFFINITY
AND
DILATATION
*
455
CONTENTS
XXV
BIBLIOGRAPHY
*
521
A.8
A.9
A.
10
A.
11
A.
12
A.
13
A.14
A.15
THE
THEORY
OF
NON-NEGATIVE
MATRICES
*
456
THE
PERRON-FROBENIUS
THEOREMS
*
463
THEOREMS
ON
NON-NEGATIVE
MATRICES
*
471
STOCHASTIC
MATRICES
*
476
THE
PRODUCTIVE
LEONTIEF
MODEL
*
477
POWER
ITERATION
ALGORITHM
OF
MISES-GEIRINGER
*
482
DIRECTED
GRAPHS
OR
DIGRAPHS
*
482
ALGEBRAIC
CRITERIA
DETERMINING
THE
PRESENCE
OF
BASIC
PRODUCTS
*
491
B
B.L
8.2
BERTRAM
SCHEFOLD
*
S
MATHEMATICAL
EXPLANATIONS
TO
PCMC*
*
495
SCHEFOLD
*
S
PRESENTATION
*
495
DETERMINATION
OF
THE
STANDARD
NET
PRODUCT
ACCORDING
TO
SCHEFOLD
*
500
C
GLOSSARY
OF
TERMS
AS
THEY
ARE
USED
IN
THIS
BOOK
*
505
INDEX
*
527
Contents Notes —V Table of Symbols—VII Abbreviations — XIII Notations — XV Preface — XVII 1 Introduction — 1 1.1 Preliminary comments — 1 1.2 Summaries of the chapters----- 2 2 Elements of Input-Output Analysis — 5 2.1 Classification of products, production processes, matrices — 5 2.1.1 Notations for transactions in monetary terms — 6 2.1.2 Notations for transactions in physical terms----- 13 2.2 Economic assumptions on matrices and vectors, viability —17 2.3 Positive matrices and non-negative matrices — 20 2.4 The Leontief quantity model---------22 2.4.1 The Leontief quantity model inmonetary terms------- 23 2.4.2 The Leontief quantity model in physical terms-------30 2.5 The Leontief cost-push input-output price models*------ 36 2.5.1 The Leontief cost-push input-output price model in monetary terms----- 36 2.5.2 The Leontief cost-push input-output price modei in physical 2.6 The interindustrial and the final consumption markets — 56 2.7 The Input-Output framework and National Accounting----- 58 2.8 Measuring value: the numéraire----- 61 terms — 46 3 Sraffa’s first examples of single- product industries — 65 3.1 Production for subsistence and production with surplus----- 65 3.1.1 Sraffa’s first example: conditions of production — 67 3.1.2 Sraffa’s second example—-75 3.1.3 Sraffa’s third example and productiveness — 79 3.2 Symbolic representation of the production scheme — 83 3.3 A generalization of Sraffa’s first example* — 83
XXII ------ Contents 3.3.1 A global economy----- 84 3.3.2 Variables replace numbers In the commodity flow matrix — 85 3.3.3 Fixing rules to construct the commodity flow matrix — 87 3.3.4 Numerical examptes----- 90 3.4 A generalization of Sraffa’s second example* — 91 3.5 A generalization of Sraffa’s third example* — 92 3.5.1 Variation of the wheat surplus-----93 3.5.2 Variation of the iron surplus — 96 3.5.3 Simultaneous variation of the wheat and iron surplus — 99 3.6 Subsistence wages and wages as a part of the surplus —103 4 Sraffa’s single-product Industries with wages and profits —109 4.1 The surplus as the sum of profits and wages —109 4.1.1 Economies delivering only subsistence wages —109 4.1.2 Economies with wages paid in numéraire —118 4.1.3 The complete single-product Sraffa system —122 4.1.4 Variables of national accounting in Sraffa’s price model —132 4.2 From a productive Sraffa model to a productive Leontief model —140 4.3 The complete single-product Sraffa system and national accounting —143 4.4 Basic commodities and non-basic commodities —146 4.5 Representation of production processes by bipartite directed 4.6 The Sraffa Network: a bipartite directed graph----- 160 4.7 The adjacency matrix in the case of single-product industries —163 4.8 Distinction between basic and non-basic commodities —170 graphs —157 4.9 Recapitulation of Sraffa’s price calculations, the labour value —175 4.10 A digression on growth, constant rate of growth —182 4.11 The ancestor: Quesnay and the economy as a circular process —187 5 Sraffa’s Standard system and the Standard commodity
—195 5.1 Sraffa’s Standard system and the Standard commodity —196 5.1.1 The general idea and the definitions----- 196 5.1.2 The notion of the non-Standard actual economic system — 200 5.2 Application of an orthogonal Euler map to a non-Standard system* — 201 5.2.1 Setting the problem and preliminaries----- 202 5.2.2 Catenation of the standard multipliers — 206 5.2.3 Classes of Standard systems and their Standard commodities — 210 5.3 Constitution of a Standard net product* — 217 5.4 Construction of a Standard system with prices* — 222 5.4.1 From a non-Standard system to a Standard system — 222
Contents — XXIII 5.4.2 Sraffa’s price equations expressed in commodity units----- 226 5.4.3 Complete calculation of a Standard system with prices and wages based 5.5 Price fluctuations and the Standard systems* — 236 on Sraffa’s elementary example (PCMC, Par. 5,11)----- 228 6 A new look at joint production analysis — 245 6.1 The production scheme, assumptions and the production space — 246 6.2 The price model for joint production*----- 254 6.3 Basics and non-basics in joint production* — 264 6.4 Joint production, Sraffa Networks and adjacency matrices — 281 6.5 National accounting and joint production — 287 6.6 Conditions for positive price vectors in viable economies — 301 6.7 Accounting for land and natural resources — 311 7 7.1 Sraffa’s theory of joint production as a tool in ecological economics — 323 Introduction----- 323 7.2 From Sraffa to ecological economics: technical preliminaries----- 323 7.3 Two commodities and two industries----- 327 7.4 Three commodities and three industries----- 332 7.5 The impact of taxation and technological innovations — 336 7.6 A model with recycling of iron scrap----- 339 7.7 An alternative C02-emissions trading scheme — 341 7.8 Prelude for the Sraffian approach in ecological economics----- 344 8 Sraffa and extensions — 347 8.1 Sraffa and the open economy — 347 8.2 Extension of the Sraffa system to services----- 351 8.3 Beyond the uniform rates of profits and wages----- 353 8.4 The mark-up 8.5 Where does Sraffa fit in the strain of economic theories? — 368 8.5.1 Sraffa in context----- 368 к and the Weintraub representation----- 360 8.5.2
Leontief and Sraffa: basic aspects compared----- 370 8.6 Sraffa and neoclassical theory — 373 8.7 Sraffa versus the Cobb-Douglas production function----- 374 8.8 Sraffa and Walras----- 378 8.9 PCMC and cost management----- 380 9 The algebraic structure behind the “Leontief-Sraffa” interindustrial economy* — 383 9.1 The input-output matrix Z of an interindustrial economy — 383 9.2 The interindustrial production matrices Z, S and D-----385 9.2.1 The “Sraffa” commodity flow matrix S, no surplus------ 385
XXIV Contents 9.2.2 The stochastic production matrix D of the interindustrial 9.3 The value and environmental cycles of “Sraffa” interindustrial 9.3.1 The Environmental Cycle of Sraffa’s Production of Commodities by economy — 388 economies — 389 Means of Commodities (PCMC) — 389 9.3.2 9.3.3 Production recursions of Sraffa interindustrial economies — 390 The input-output matrix Z6 and the stochastic production matrix D6----- 391 9.4 Main result: the stochastic similarity table of an interindustrial economy (GDP-Table)----- 393 9.4.1 9.4.2 9.4.3 9.4.4 The right and the left eigenvectors of the matrices A and Z — 394 9.4.5 The stochastic similarity table of an interindustrial economy The stochastic product family (Z, T, S, D) — 395 The stochastic similarity family (A, B, C, D) -— 396 Relationships between the (Z, T, S, D)- and the (A, B, C, D)-families — 398 (GDP-Table)----- 398 9.5 9.6 10 Productivity and interindustrial production* — 399 Computational examples — 403 Exploration of Input-Output Tables — 409 10.1 The Swiss Input-Output Tables and the productiveness — 409 10.2 10.3 10.3.1 Analysis of an aggregated SWISS IOT 2014 — 417 10.3.2 The monthly operating capital K* (λρ-units) for Switzerland Exploration of interindustrial economies — 421 The monthly operating capital/f*(AF-units): USA, GBR, DE, Euro-Zone 1995 to 2011----- 422 1995-2011----- 424 10.3.3 Switzerland 2008: the six largest sectors of the interindustrial production — 425 11 Conclusions and outlook — 431 A Mathematical tools — 439 A.l A.2 А.З А.4 A. 5 А.6 A. 7 A short guide to algebraic concepts and
techniques — 439 Some elementary matrix algebra — 440 Determinant of a matrix — 445 Inverse matrices and further elementary matrix algebra — 446 Eigenvalues and eigenvectors of matrices — 451 Coefficients matrices with identical eigenvalues — 453 The orthogonal Euler affinity and dilatation — 455
Contents A.8 The theory of non-negative matrices----- 456 A.9 A.10 The Perron-Frobenius Theorems — 463 Theorems on non-negative matrices — 471 A.ll A.12 A.13 ------ XXV Stochastic matrices------ 476 The productive Leontief model — 477 Power iteration algorithm of Mises-Geiringer----- 482 A.14 Directed graphs or digraphs — 482 A. 15 Algebraic criteria determining the presence of basic products — 491 В B. l B.2 C Bertram Schefold's mathematical explanations to PCMC* — 495 Schefold’s presentation — 495 Determination of the standard net product according to Schefold----- 500 Glossary of terms as they are used in this book — 505 Bibliography----- 521 Index — 527 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Emmenegger, Jean-François Chable, Daniel Nour-Eldin, Hassan 1934- Knolle, Helmut 1939- |
| author_GND | (DE-588)170936597 (DE-588)1146147120 (DE-588)171690958 |
| author_facet | Emmenegger, Jean-François Chable, Daniel Nour-Eldin, Hassan 1934- Knolle, Helmut 1939- |
| author_role | aut aut aut aut |
| author_sort | Emmenegger, Jean-François |
| author_variant | j f e jfe d c dc h n e hne h k hk |
| building | Verbundindex |
| bvnumber | BV046628959 |
| classification_rvk | QC 141 |
| ctrlnum | (OCoLC)1139743142 (DE-599)DNB1175757438 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| discipline_str_mv | Mathematik Wirtschaftswissenschaften |
| format | Book |
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| index_date | 2024-07-03T14:10:15Z |
| indexdate | 2024-07-10T08:49:41Z |
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| spelling | Emmenegger, Jean-François Verfasser (DE-588)170936597 aut Sraffa and Leontief revisited mathematical methods and models of a circular economy Jean-François Emmenegger, Daniel Chable, Hassan Ahmed Nour Eldin, and Helmut Knolle Berlin ; Boston De Gruyter [2020] XXV, 529 Seiten Illustrationen, Diagramme 24 cm x 17 cm txt rdacontent n rdamedia nc rdacarrier Sraffa, Piero 1898-1983 (DE-588)118616463 gnd rswk-swf Leontief, Wassily W. 1906-1999 (DE-588)118727621 gnd rswk-swf Produktionsmodell (DE-588)4126380-7 gnd rswk-swf Wirtschaftskreislauf (DE-588)4066463-6 gnd rswk-swf Input-Output-Modell (DE-588)4114021-7 gnd rswk-swf Neo-Ricardianische Schule / (DE-627)091379792 / (DE-STW)20982-1 Input-Output-Analyse / (DE-627)091367891 / (DE-STW)10243-3 Kreislaufanalyse / (DE-627)091372887 / (DE-STW)10248-0 Wirtschaftsmathematik / (DE-627)799326364 / (DE-STW)29970-5 Lineare Algebra / (DE-627)09137684X / (DE-STW)15050-3 Theorie / (DE-627)091394902 / (DE-STW)19073-6 Perron-Frobenius Theorem Leontief, Wassily W. 1906-1999 (DE-588)118727621 p Sraffa, Piero 1898-1983 (DE-588)118616463 p Wirtschaftskreislauf (DE-588)4066463-6 s Input-Output-Modell (DE-588)4114021-7 s Produktionsmodell (DE-588)4126380-7 s DE-604 Chable, Daniel Verfasser aut Nour-Eldin, Hassan 1934- Verfasser (DE-588)1146147120 aut Knolle, Helmut 1939- Verfasser (DE-588)171690958 aut Walter de Gruyter GmbH & Co. KG (DE-588)10095502-2 pbl 9783110635096 9783110631999 Erscheint auch als Online-Ausgabe, PDF 10.1515/9783110635096 978-3-11-063509-6 Erscheint auch als Online-Ausgabe, EPUB 978-3-11-063199-9 X: MVB http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110630428&searchTitles=true 2019-01-23 Verlag DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032040539&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032040539&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Emmenegger, Jean-François Chable, Daniel Nour-Eldin, Hassan 1934- Knolle, Helmut 1939- Sraffa and Leontief revisited mathematical methods and models of a circular economy Sraffa, Piero 1898-1983 (DE-588)118616463 gnd Leontief, Wassily W. 1906-1999 (DE-588)118727621 gnd Produktionsmodell (DE-588)4126380-7 gnd Wirtschaftskreislauf (DE-588)4066463-6 gnd Input-Output-Modell (DE-588)4114021-7 gnd |
| subject_GND | (DE-588)118616463 (DE-588)118727621 (DE-588)4126380-7 (DE-588)4066463-6 (DE-588)4114021-7 |
| title | Sraffa and Leontief revisited mathematical methods and models of a circular economy |
| title_auth | Sraffa and Leontief revisited mathematical methods and models of a circular economy |
| title_exact_search | Sraffa and Leontief revisited mathematical methods and models of a circular economy |
| title_exact_search_txtP | Sraffa and Leontief revisited mathematical methods and models of a circular economy |
| title_full | Sraffa and Leontief revisited mathematical methods and models of a circular economy Jean-François Emmenegger, Daniel Chable, Hassan Ahmed Nour Eldin, and Helmut Knolle |
| title_fullStr | Sraffa and Leontief revisited mathematical methods and models of a circular economy Jean-François Emmenegger, Daniel Chable, Hassan Ahmed Nour Eldin, and Helmut Knolle |
| title_full_unstemmed | Sraffa and Leontief revisited mathematical methods and models of a circular economy Jean-François Emmenegger, Daniel Chable, Hassan Ahmed Nour Eldin, and Helmut Knolle |
| title_short | Sraffa and Leontief revisited |
| title_sort | sraffa and leontief revisited mathematical methods and models of a circular economy |
| title_sub | mathematical methods and models of a circular economy |
| topic | Sraffa, Piero 1898-1983 (DE-588)118616463 gnd Leontief, Wassily W. 1906-1999 (DE-588)118727621 gnd Produktionsmodell (DE-588)4126380-7 gnd Wirtschaftskreislauf (DE-588)4066463-6 gnd Input-Output-Modell (DE-588)4114021-7 gnd |
| topic_facet | Sraffa, Piero 1898-1983 Leontief, Wassily W. 1906-1999 Produktionsmodell Wirtschaftskreislauf Input-Output-Modell |
| url | http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110630428&searchTitles=true http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032040539&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032040539&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT emmeneggerjeanfrancois sraffaandleontiefrevisitedmathematicalmethodsandmodelsofacirculareconomy AT chabledaniel sraffaandleontiefrevisitedmathematicalmethodsandmodelsofacirculareconomy AT noureldinhassan sraffaandleontiefrevisitedmathematicalmethodsandmodelsofacirculareconomy AT knollehelmut sraffaandleontiefrevisitedmathematicalmethodsandmodelsofacirculareconomy AT walterdegruytergmbhcokg sraffaandleontiefrevisitedmathematicalmethodsandmodelsofacirculareconomy |
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