9780387502335

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Search Results: displaying 1 - 1 of 1   --> 9780387502335 ( ISBN )  

 
 

Simplicial Algorithms on the Simplotope (Lecture Notes in Economics and Mathematical Systems, No. 318)
Author(s): Timothy Doup
ISBN-13: 9780387502335 ISBN: 0387502335

Format: Paperback   Pages: 262 Pub. Date: 1988-12 Publisher: Springer-Verlag
List Price: $49.95

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Book Description

Simplicial Algorithms on the Simplotope (Lecture Notes in Economics and Mathematical Systems, No. 318)

This monograph deals with simplicial algorithms on the unit simplex and on the simplotope. Several new triangulations are introduced underlying the simplicial algorithms. The V-triangulation underlies a number of new simplicial algorithms and also underlies a continuous deformation algorithm on the simplotope. The monograph extensively discusses these algorithms and gives computational comparisons. The examples include exchange economies, quadratic programming, non-cooperative N-person games, and economies with a block diagonal supply-demand pattern. In the economic examples, the paths induced by the algorithms can be interpreted as price adjustment processes. These paths have the attractive feature that they always converge to an optimal solution.

 

 
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