## Theory of Value, Prices and Accumulation: A Mathematical Integration of Marx, Von Neumann and Sraffa |

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### Contents

singleproduct industries | 32 |

joint production fixed capital | 59 |

Proportional growthduality | 112 |

Accumulation conflicts and quasiduality | 137 |

duality and transformation | 195 |

Mathematical appendix | 230 |

Notes | 244 |

257 | |

### Common terms and phrases

accumulation activity levels analysis appear associated assume assumption basic capital capitalists Chapter columns composition considered constant construction consumed consumption corresponding curve decomposable defined definition determined distribution dominant eigenvalue economic efficiency eigenvector equal equations equivalent example exists exploitation expressed fact function given increasing indecomposable independent industries input joint production labour land least linear machine Marx Marx's matrix maximum means of production method model A,B multiplication necessary negative Neumann non-basic normalisation Note output particular period positive possible prices of production problem Property proportion quantity rank rate of growth rate of profit ratio relation relative rent represented result satisfies semi-positive simple simultaneously square matrix Sraffa standard commodity standard system surplus surplus-value technique technologically theorem theory tion transformation unit variable various vector wage workers written zero