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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
H W Kuhn; G P Szegö |

ISBN: | 9783642461965 3642461964 |

OCLC Number: | 851735443 |

Description: | 1 online resource (xi, 487 pages). |

Contents: | I Basic Theories -- Dynamical Systems -- Economic Equilibrium -- Control as Programming in General Normed Linear Spaces -- to the Algebraic Theory of Linear Dynamical Systems -- Duality in Mathematical Programming -- Mathematical Theory of General Systems and some Economic Problems -- Convex Functions and Duality in Optimization Problems and Dynamics -- II Optimal Control of Economic Systems -- Optimal Investment Policy -- On the Inverse Optimal Problem -- Dynamic Keynesian Economic Systems: Control and Identification -- On the Controllability of Decentralized Macroeconomic Systems: The Assignment Problem -- Application of Pontriagin's Maximum Principle to Economics -- III Special Mathematical Problems -- Control Vector Fields on Manifolds and Attainability -- Semi-Dynamical Systems -- Some Theorems in Measure Theory and Generalized Dynamical Systems Defined by Contingent Equations -- On the Controllability of Linear Difference-Differential Systems -- The Core and Competitive Equilibria -- Geometric Theory of Linear Controlled Systems -- Stability of Sets with Respect to Abstract Processes -- Invariance of Contingent Equations -- Space of Solutions -- IV Special Applications -- Feedback and the Dynamics of Market Stability -- Investigations of Organization of Production Processes with Tree Structure -- Testing Econometric Models by Means of Time Series Analysis -- Optimum Control and Synthesis of Organizational Structure of Large Scale Systems -- Optimal Accumulation in a Listian Model -- Multi-level Approach to the Large-scale Control Problem. |

Series Title: | Lecture notes in operations research and mathematical economics, 11/12. |

Responsibility: | II : Proceeding of an International Summer School held in Varenna, Italy, June 1-12, 1967 / edited by H.W. Kuhn, G.P. Szegö. |

### Abstract:

The International Summer School on Mathematical Systems Theory and Economics was held at the Villa Monastero in Varenna, Italy, from June 1 through June 12, 1967. The seven papers on basic theories are a rather complete representative sample of the fundaments of general systems theory, of the theory of dynamical systems and the theory of control.
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