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Assume that there is no private stock holding.
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There are, however, no constraints on how fast the firm can add capital, and hence it is reasonable to suppose that, when it invests, it does so at an infinite rate, thereby keeping its investment costs to a minimum.
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Analysis totalhashComplementarity Methods Although the complementarity problem appears quite different from the ordinary rootfinding problem, it actually can be reformulated as one.
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This figure demonstrates that it is possible to have sequences that are not only uniformly distributed in an ex ante or probabilistic sense but also in an ex post sense, thereby avoiding the clumpiness exhibited by truly random sequences.
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Newton method to solve the collocation equation.
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If the function f possesses known kink points, it is often possible to break the integral into the sum of two or more integrals of smooth functions.
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The methods of numerical analysis and much of the available computer software have been largely developed for noneconomic disciplines, most notably the physical, mathematical, and computer sciences.
QR App with extension for iOS FreeThis will hold regardless of whether the switching points are chosen optimally and is simply a consequence of the definition of the value function as the sum of discounted net returns from taking a prescribed set of actions.
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The equivalence, however, can easily be demonstrated graphically for the univariate complementarity problem.
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Monte Carlo integration will vary from one integration to the next, unless initiated at the same point, making the use of Monte Carlo integration in conjunction within other iterative schemes, such as dynamic programming or maximum likelihood estimation, problematic.
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Similarly, although one cannot return to state 3 in one step, one can return in two steps.
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Download InformationThe argument x may also be passed as a cell array containing the coordinates of a grid on which y is defined.
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For the optimal switching point, continuity of the second derivative is also required.
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It is our hope that this book will make accessible a range of computational tools that will enable economists to analyze economic and financial models that they have been unable to solve within the confines of traditional mathematical economic analysis.
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No part of this book may be reproduced in any form by any electronic or mechanical means (including photocopying, recording, or information storage and retrieval) without permission in writing from the publisher.
In the example we are about to present, we start with a large number of both state variables and controls; but with a specific assumption about the state dynamics, the dimension of the state is reduced to one.
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