## Mathematical theory of expanding and contracting economies |

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### Contents

Scope and Method of Investigation | 1 |

The KMT Closed Model | 21 |

A Constructive Solution Method for the | 41 |

Copyright | |

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### Common terms and phrases

activities aggregation algorithm assume assumption Axiom basic Chicken Egg closed economy coefficients column comparative advantage components condition consider constraints consume consumption control variables corresponding define determined discussed dual linear programming Econometrica economic solutions Eigensystems entries equations equilibrium Example Exercise existence expanding economy model expansion factor expansion rate export price finite number game theory given gives Hence important indecomposable indices inequality input input-output input-output model intensity KMT model Labor Urban Lemma Leontief model linear programming problem mathematical matrix game model of Chapter Morgenstern Neumann Model non-negative Note open economy open model optimal solutions optimal strategies Oskar Morgenstern pair period Perron-Frobenius theorem player positive possible price vector probability vectors processes proof pure strategies reader satisfy Axioms Section solve subeconomies tableau technological Theorem Thompson tight solution tion trading block unique expansion unprofitable v(Ma wepe Wheat WKMT world model zero