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Optimality In Infinite Horizon Economies


Optimality In Infinite Horizon Economies
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Optimality In Infinite Horizon Economies


Optimality In Infinite Horizon Economies
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Author : Anders Borglin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Optimality In Infinite Horizon Economies written by Anders Borglin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Business & Economics categories.


Modern welfare economics as it is known today to economists took its final shape with the emergence of the Arrow-Debreu model. The classical conjectures about the beneficient workings of markets together with the converse statement, that optimal (in the sense of Pareto) allocations may be sustained by prices and markets, has laid a firm foundation for further research in welfare economics. But more than that, it has inspired researchers to take up entirely new topics, notably by closer considerations of situations where the assumptions of the original model may seem overly restrictive. One of these new directions has been connected with generalizing the model so that it takes into account the possibility of infinitely many commodities. On the face of it, the idea of an infinity of commodities may seem a mathematical fancy having no "real" counterpart in economic life. This is not so, however. Quite to the contrary, infinity enters in a very natural way when it is taken into account that economic transactions take place over time. 2 In the Arrow-Debreu formalism, time may be incorporated into the model in a very simple way using dated commodities. Thus two commodities are considered as being different if they are to be delivered at different points of time.



Decentralization In Infinite Horizon Economies


Decentralization In Infinite Horizon Economies
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Author : Mukul Majumdar
language : en
Publisher: CRC Press
Release Date : 2019-03-07

Decentralization In Infinite Horizon Economies written by Mukul Majumdar and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-07 with Mathematics categories.


This book summarizes some issues involved in developing a theory of decentralized resource allocation mechanism in infinite horizon economies. It constitutes a definitive account of cutting-edge research on a topic of continuing importance in price theory. .



Infinite Horizon Optimal Control


Infinite Horizon Optimal Control
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Author : Dean A. Carlson
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Infinite Horizon Optimal Control written by Dean A. Carlson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Business & Economics categories.


This monograph deals with various classes of deterministic continuous time optimal control problems wh ich are defined over unbounded time intervala. For these problems, the performance criterion is described by an improper integral and it is possible that, when evaluated at a given admissible element, this criterion is unbounded. To cope with this divergence new optimality concepts; referred to here as "overtaking", "weakly overtaking", "agreeable plans", etc. ; have been proposed. The motivation for studying these problems arisee primarily from the economic and biological aciences where models of this nature arise quite naturally since no natural bound can be placed on the time horizon when one considers the evolution of the state of a given economy or species. The reeponsibility for the introduction of this interesting class of problems rests with the economiste who first studied them in the modeling of capital accumulation processes. Perhaps the earliest of these was F. Ramsey who, in his seminal work on a theory of saving in 1928, considered a dynamic optimization model defined on an infinite time horizon. Briefly, this problem can be described as a "Lagrange problem with unbounded time interval". The advent of modern control theory, particularly the formulation of the famoue Maximum Principle of Pontryagin, has had a considerable impact on the treatment of these models as well as optimization theory in general.



Infinite Horizon Optimal Control


Infinite Horizon Optimal Control
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Author : Dean A Carlson
language : en
Publisher:
Release Date : 1991-10-17

Infinite Horizon Optimal Control written by Dean A Carlson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-10-17 with categories.




Infinite Horizon Optimal Control In The Discrete Time Framework


Infinite Horizon Optimal Control In The Discrete Time Framework
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Author : Joël Blot
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-08

Infinite Horizon Optimal Control In The Discrete Time Framework written by Joël Blot and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-08 with Mathematics categories.


​​​​In this book the authors take a rigorous look at the infinite-horizon discrete-time optimal control theory from the viewpoint of Pontryagin’s principles. Several Pontryagin principles are described which govern systems and various criteria which define the notions of optimality, along with a detailed analysis of how each Pontryagin principle relate to each other. The Pontryagin principle is examined in a stochastic setting and results are given which generalize Pontryagin’s principles to multi-criteria problems. ​Infinite-Horizon Optimal Control in the Discrete-Time Framework is aimed toward researchers and PhD students in various scientific fields such as mathematics, applied mathematics, economics, management, sustainable development (such as, of fisheries and of forests), and Bio-medical sciences who are drawn to infinite-horizon discrete-time optimal control problems.



On The Efficiency Of Competitive Equilibrium In Infinite Horizon Monetary Economies


On The Efficiency Of Competitive Equilibrium In Infinite Horizon Monetary Economies
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Author : Masahiro Okuno
language : en
Publisher:
Release Date : 1979

On The Efficiency Of Competitive Equilibrium In Infinite Horizon Monetary Economies written by Masahiro Okuno and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.




Linear Programming Over An Infinite Horizon


Linear Programming Over An Infinite Horizon
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Author : J.J.M. Evers
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Linear Programming Over An Infinite Horizon written by J.J.M. Evers and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.




On The Efficiency Of Competitive Equilibrium In Infinite Horizon Economy And Money


On The Efficiency Of Competitive Equilibrium In Infinite Horizon Economy And Money
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Author : Masahiro Okuno
language : en
Publisher:
Release Date : 1977

On The Efficiency Of Competitive Equilibrium In Infinite Horizon Economy And Money written by Masahiro Okuno and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Equilibrium (Economics) categories.




Optimal Control Theory And Static Optimization In Economics


Optimal Control Theory And Static Optimization In Economics
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Author : Daniel Léonard
language : en
Publisher: Cambridge University Press
Release Date : 1992-01-31

Optimal Control Theory And Static Optimization In Economics written by Daniel Léonard and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-31 with Business & Economics categories.


Optimal control theory is a technique being used increasingly by academic economists to study problems involving optimal decisions in a multi-period framework. This textbook is designed to make the difficult subject of optimal control theory easily accessible to economists while at the same time maintaining rigour. Economic intuitions are emphasized, and examples and problem sets covering a wide range of applications in economics are provided to assist in the learning process. Theorems are clearly stated and their proofs are carefully explained. The development of the text is gradual and fully integrated, beginning with simple formulations and progressing to advanced topics such as control parameters, jumps in state variables, and bounded state space. For greater economy and elegance, optimal control theory is introduced directly, without recourse to the calculus of variations. The connection with the latter and with dynamic programming is explained in a separate chapter. A second purpose of the book is to draw the parallel between optimal control theory and static optimization. Chapter 1 provides an extensive treatment of constrained and unconstrained maximization, with emphasis on economic insight and applications. Starting from basic concepts, it derives and explains important results, including the envelope theorem and the method of comparative statics. This chapter may be used for a course in static optimization. The book is largely self-contained. No previous knowledge of differential equations is required.



Approximating Equilibria For Infinite Horizon Dynamic Games


Approximating Equilibria For Infinite Horizon Dynamic Games
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Author : Freddie García
language : en
Publisher:
Release Date : 1997

Approximating Equilibria For Infinite Horizon Dynamic Games written by Freddie García and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.