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Controlling the Walrasian tatonnement process

Includes bibliographical references (leaves 69-70).

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Main Author: Charlton, Richard
Format: Thesis
Language:English
Published: School of Economics 2015
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access_status_str Open Access
author Charlton, Richard
author_browse Charlton, Richard
author_facet Charlton, Richard
author_sort Charlton, Richard
collection Thesis
description Includes bibliographical references (leaves 69-70).
format Thesis
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institution University of Cape Town (South Africa)
language eng
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license_str Not specified — see source repository
provenance_str_mv Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository
publishDate 2015
publishDateRange 2015
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publisher School of Economics
publisherStr School of Economics
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spelling oai:open.uct.ac.za:11427/13424 Controlling the Walrasian tatonnement process Charlton, Richard Economics Includes bibliographical references (leaves 69-70). In this thesis I examine a discrete-time Walrasian tatonnement process. The criterion for stability is examined in a two good tatonnement process. It is shown that the stability of the system depends upon the speed of adjustment and holdings of endowments as well as preferences. It is then shown that periodic solutions as well as aperiodic or chaotic trajectories occur. The analysis is then extended to multiple agents. Having established the results for the one-dimensional system, the analysis is extended to the case of three goods in which one of the goods is a numeraire. It is shown that similar dynamics to the one dimensional case exist. It is found that if one market acts in a chaotic manner then both markets act in a chaotic manner. Such that markets do not act in a chaotic manner, certain restrictions on the speed of adjustment and the holding of the non-numeraire good with respect to the numeraire good need to be enforced. Following in the footsteps of Uzawa [26], exchange out of equilibrium is examined for the case of one traded good and one numeraire as well as two traded goods and one numeraire. It is found that if any good can be exchanged for any other good there is a direct parallel between the tatonnement process and the nontatonnement process. If the numeraire is treated as a primitive currency then the policy implications differ significantly due to the amount of liquidity in the system. 2015-07-14T08:43:39Z 2015-07-14T08:43:39Z 2009 Master Thesis Masters MCom http://hdl.handle.net/11427/13424 eng application/pdf School of Economics Faculty of Commerce University of Cape Town
spellingShingle Economics
Charlton, Richard
Controlling the Walrasian tatonnement process
thesis_degree_str Master's
title Controlling the Walrasian tatonnement process
title_full Controlling the Walrasian tatonnement process
title_fullStr Controlling the Walrasian tatonnement process
title_full_unstemmed Controlling the Walrasian tatonnement process
title_short Controlling the Walrasian tatonnement process
title_sort controlling the walrasian tatonnement process
topic Economics
url http://hdl.handle.net/11427/13424
work_keys_str_mv AT charltonrichard controllingthewalrasiantatonnementprocess