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Adjustment processes for exchange economies and noncooperative games

Author: Antoon van den Elzen
Publisher: Berlin ; New York : Springer-Verlag, ©1993.
Series: Lecture notes in economics and mathematical systems, 402.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

The first section of this treatise deals with tatonnement processes in different general equilibrium models. The author then explores game theory, in particular the computation of Nash equilibria in  Read more...

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Additional Physical Format: Online version:
Elzen, Antoon van den, 1956-
Adjustment processes for exchange economies and noncooperative games.
Berlin ; New York : Springer-Verlag, ©1993
(OCoLC)679862501
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Antoon van den Elzen
ISBN: 3540573100 9783540573104 0387573100 9780387573106
OCLC Number: 28890317
Description: 146 pages : illustrations ; 24 cm.
Contents: 1. Introduction.- 1.1 Adjustment processes in economies.- 1.2 Some examples of globally efficient processes.- 1.3 Outline of the monograph and main results.- 2. Preliminaries.- 2.1 Notation.- 2.2 The stationary point problem.- 2.3 Notions related to simplicial algorithms.- 2.4 Concepts from differential topology.- 3. Existence of adjustment processes.- 3.1 Two price adjustment processes for a pure exchange economy.- 3.2 The proportional process 37 3.3. Direct approach towards the sign process 4l 3.4. Homotopy approach towards the sign process.- 4. An adjustment process for an international trade model.- 4.1 The model.- 4.2 An example.- 4.3 The process.- 4.4 Description of the price adjustments.- 4.5 Numerical illustration.- 5. An adjustment process for an exchange economy with linear production technologies.- 5.1 The model.- 5.2 Existence of the path 82 5.3. The adjustment process 86 5.4. Examples.- 6. Finding Nash equilibria in noncooperative games.- 6.1 Solving the bi-matrix game as a stationary point problem.- 6.2 The procedure.- 6.3 Game-theoretic interpretation.- 6.4 How to find more equilibria.- 6.5 Interpretation and generalization of the Lemke-Howson algorithm.- 6.6 Computing Nash equilibria in noncooperative more-person games.- References.
Series Title: Lecture notes in economics and mathematical systems, 402.
Responsibility: Antoon van den Elzen.
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