About the author |
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xiii | |
Preface |
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xiv | |
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PART I Brief historical excursus |
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1 | (66) |
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1 Forerunners of classical political economy: the physiocrats |
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2 | (4) |
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2 | (1) |
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1.2 The Tableau economique |
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2 | (4) |
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2 The `surplus theories' of production and distribution: a general introduction |
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6 | (8) |
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6 | (1) |
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2.2 The logical structure of surplus theories |
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6 | (3) |
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9 | (5) |
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3 Ricardian theory of distribution and value |
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14 | (17) |
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14 | (1) |
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3.2 A model representing Ricardo's `early writings' |
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14 | (12) |
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14 | (6) |
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3.2.2 Solution of the model |
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20 | (2) |
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3.2.3 A graphical representation |
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22 | (1) |
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3.2.4 Characteristics of the solution |
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23 | (1) |
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3.2.5 A decreasing relation between wages and the rate of profit |
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24 | (1) |
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3.2.6 Accumulation of capital |
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24 | (2) |
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3.3 Generalization: income distribution in the Principles |
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26 | (5) |
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3.3.1 The adoption of the labour theory of value |
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26 | (2) |
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3.3.2 Uniform capital intensity |
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28 | (1) |
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3.3.3 The labour theory of value as an `approximation' and the need for an `invariable measure of value' |
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28 | (3) |
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4 Theory of value and of prices in Marx |
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31 | (9) |
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4.1 Introduction and definitions |
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31 | (2) |
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4.2 `Transformation' of values into prices of production |
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33 | (1) |
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34 | (2) |
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4.4 Marx's `error' and Bortkiewicz's solution |
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36 | (4) |
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5 Marginal and neoclassical theories |
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40 | (27) |
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40 | (2) |
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5.2 A pure exchange model of general equilibrium |
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42 | (6) |
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5.2.1 `Rational' choice of individual i |
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42 | (2) |
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5.2.2 Collective demand and supply functions |
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44 | (1) |
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5.2.3 General equilibrium |
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45 | (1) |
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5.2.4 Convergence to equilibrium (some hints) |
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46 | (2) |
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5.2.5 The economic meaning of equilibrium prices |
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48 | (1) |
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5.3 General equilibrium with production |
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48 | (7) |
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5.3.1 Individual and collective demand and supply functions |
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49 | (1) |
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50 | (1) |
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5.3.3 Demand for the services of productive factors |
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51 | (1) |
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5.3.4 General equilibrium |
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51 | (2) |
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5.3.5 One degree of freedom |
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53 | (1) |
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53 | (2) |
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5.4 Production of capital goods |
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55 | (6) |
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55 | (1) |
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5.4.2 More than one capital good - Walrasian approach |
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56 | (2) |
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5.4.3 Capital as a single magnitude |
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58 | (1) |
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5.4.4 John Hicks' turning point -- the `neo-Walrasian' approach |
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59 | (2) |
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5.5 A logical necessity to get rid of the neoclassical approach |
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61 | (6) |
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PART II Inter-industry analysis: A reappraisal of classical political economy |
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67 | (76) |
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68 | (7) |
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6.1 Physical flows of commodities |
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68 | (1) |
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6.2 Technical and consumption requirements |
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68 | (1) |
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69 | (2) |
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6.4 An algebraic formulation of the input-output table |
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71 | (2) |
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6.5 Quesnay and Ricardo through input-output tables |
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73 | (2) |
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75 | (14) |
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7.1 Introduction: constant technical coefficients |
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75 | (1) |
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7.2 The closed Leontief system |
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75 | (1) |
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7.2.1 From identities to equations |
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75 | (1) |
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7.3 The closed Leontief system |
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76 | (3) |
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76 | (1) |
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7.3.2 Existence of non-trivial solutions |
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77 | (2) |
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7.3.3 Semi-positive solutions |
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79 | (1) |
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7.4 The open Leontief system |
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79 | (10) |
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79 | (2) |
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7.4.2 Existence of semi-positive solutions |
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81 | (2) |
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7.4.3 Economic interpretation of the Leontief inverse matrix |
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83 | (2) |
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7.4.4 A synchronic and a diachronic representation of production processes |
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85 | (1) |
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7.4.5 Reprise of the numerical example |
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86 | (3) |
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8 Sraffa's analytical framework |
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89 | (37) |
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89 | (1) |
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8.2 Production for subsistence |
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89 | (3) |
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8.2.1 Example of a subsistence system |
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89 | (2) |
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8.2.2 The case with C commodities |
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91 | (1) |
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8.3 Production with a surplus |
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92 | (8) |
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8.3.1 Example of a system with a positive surplus |
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92 | (2) |
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8.3.2 The case with C commodities |
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94 | (2) |
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8.3.3 Two different kinds of commodities: basics and non-basics |
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96 | (3) |
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8.3.4 Economic meaning of prices |
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99 | (1) |
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8.4 Surplus distributed between capitalists and workers |
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100 | (6) |
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8.4.1 The price equations |
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100 | (1) |
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8.4.2 Second degree of freedom and income distribution |
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101 | (1) |
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8.4.3 Surplus entirely perceived by workers |
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102 | (2) |
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8.4.4 Surplus shared by capitalists and workers |
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104 | (1) |
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8.4.5 Again on basics and non-basics |
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104 | (2) |
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106 | (1) |
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8.5 Changes in prices and wages as the rate of profit changes |
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106 | (20) |
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8.5.1 The particular case of uniform proportions of labour to means of production |
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107 | (1) |
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8.5.2 Non-uniform proportions of labour to means of production |
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108 | (3) |
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8.5.3 Towards a solution - the Standard commodity |
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111 | (1) |
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8.5.4 Transparency of distributive relations in the Standard system |
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112 | (3) |
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8.5.5 The same w-n relation for the actual system |
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115 | (3) |
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8.5.6 An invariable measure of value |
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118 | (1) |
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8.5.7 Solution of the system with respect to prices |
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118 | (1) |
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8.5.8 Reduction of prices to `dated' quantities of labour |
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119 | (1) |
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8.5.9 Some concluding remarks |
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120 | (6) |
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126 | (17) |
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126 | (1) |
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9.2 Production `methods', `techniques' and `technology' |
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126 | (1) |
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9.3 Choice of technique for non-basic commodities |
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127 | (2) |
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9.4 Choice of technique for basic commodities |
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129 | (3) |
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9.5 `Reswitching of techniques' and `reverse capital deepening' |
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132 | (3) |
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9.6 The reactions of neoclassical economists |
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135 | (8) |
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Appendix - Samuelson's `surrogate' production function |
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136 | (7) |
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PART III Income distribution and structural conomic dynamics |
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143 | (46) |
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10 Post-Keynesian theories of income distribution |
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144 | (15) |
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10.1 Introduction: the Keynesian principle of effective demand |
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144 | (5) |
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10.2 Full employment in the long period: the Harrod-Domar model |
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149 | (1) |
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10.3 Endogenous determination of income distribution: the Cambridge equation |
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150 | (3) |
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10.4 Total re-investment of profits |
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153 | (1) |
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10.5 Degree of utilization of productive capacity |
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154 | (5) |
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11 Structural economic dynamics |
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159 | (30) |
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159 | (3) |
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11.2 A dynamic version of Leontief's model |
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162 | (2) |
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11.3 A vertically integrated representation of productive relations |
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164 | (1) |
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11.4 A pure labour economy |
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165 | (3) |
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11.4.1 The quantity and the price system |
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166 | (1) |
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11.4.2 The macro-economic condition |
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166 | (2) |
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11.5 Proportional dynamics: population growth |
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168 | (3) |
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11.5.1 Proportional dynamics: uniform technical progress |
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169 | (2) |
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171 | (4) |
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171 | (3) |
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174 | (1) |
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11.6.3 The dynamics of prices |
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174 | (1) |
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11.6.4 The dynamics of quantities |
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174 | (1) |
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11.7 The macro-economic condition in structural change |
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175 | (3) |
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11.7.1 Population and labour force: a reformulation |
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175 | (2) |
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11.7.2 Structural dynamics of employment |
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177 | (1) |
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11.7.3 The macro-economic aspect of unemployment |
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177 | (1) |
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11.8 An invariable measure of value in a changing technology |
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178 | (2) |
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11.9 A'natural rate of interest' |
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180 | (1) |
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11.10 Production by means of labour and capital goods |
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181 | (3) |
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11.11 A natural income distribution configuration: the `natural rates of profit' |
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184 | (1) |
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11.12 A `separation' between the `natural system' and the actual system: towards a `normative' approach |
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185 | (4) |
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Appendix A Introduction to linear algebra |
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189 | (50) |
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189 | (1) |
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189 | (4) |
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189 | (2) |
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A.2.2 Partitioned matrices and vectors |
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191 | (1) |
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A.2.3 Relations between matrices |
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192 | (1) |
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A.2.4 Operations on matrices |
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193 | (1) |
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193 | (8) |
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193 | (1) |
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A.3.2 Graphical representation of vectors |
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194 | (1) |
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A.3.3 Relations between vectors |
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195 | (1) |
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A.3.4 Operations on vectors |
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195 | (4) |
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A.3.5 Linear dependence and independence among vectors |
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199 | (2) |
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201 | (3) |
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A.4.1 Some analytical properties |
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203 | (1) |
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A.5 Determinant of a square matrix |
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204 | (11) |
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204 | (2) |
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A.5.2 Properties of the determinant |
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206 | (8) |
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A.5.3 An alternative computation of the determinant: Laplace expansion |
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214 | (1) |
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215 | (2) |
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A.7 Computation of the inverse matrix (by the adjoint matrix) |
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217 | (2) |
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A.8 Linear systems of equations |
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219 | (7) |
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A.8.1 Non-homogeneous systems: existence of solutions |
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220 | (1) |
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A.8.2 Non-homogeneous systems: computation of the solution(s) |
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220 | (3) |
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A.8.3 Graphical representation (non-homogeneous systems) |
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223 | (1) |
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A.8.4 Homogeneous systems: existence of non-trivial solutions |
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223 | (2) |
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A.8.5 Homogeneous systems: computation of non-trivial solutions |
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225 | (1) |
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A.8.6 Graphical representation (homogeneous systems) |
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225 | (1) |
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A.9 Eigenvalues and eigenvectors of a square matrix |
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226 | (5) |
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A.10 An iterative method to calculate the inverse matrix |
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231 | (4) |
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A.10.1 Powers of matrices |
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231 | (1) |
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A.10.2 Similarity transformations. Similar matrices |
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232 | (1) |
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A.10.3 Diagonalization of a square matrix |
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232 | (1) |
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A.10.4 Expansion of a matrix as power series |
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233 | (2) |
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A.11 Perron-Frobenius theorems on semi-positive matrices |
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235 | (4) |
References |
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239 | (10) |
Name Index |
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249 | (2) |
Subject Index |
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251 | |