We extend a recently developed framework for analyzing asynchronous coordinate descent algorithms to show that an asynchronous version of tatonnement, a fundamental price dynamic widely studied in general equilibrium theory, converges toward a market equilibrium for Fisher markets with CES utilities or Leontief utilities, for which tatonnement is equivalent to coordinate descent.
@InProceedings{cheung_et_al:LIPIcs.ESA.2018.18, author = {Cheung, Yun Kuen and Cole, Richard}, title = {{Amortized Analysis of Asynchronous Price Dynamics}}, booktitle = {26th Annual European Symposium on Algorithms (ESA 2018)}, pages = {18:1--18:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-081-1}, ISSN = {1868-8969}, year = {2018}, volume = {112}, editor = {Azar, Yossi and Bast, Hannah and Herman, Grzegorz}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ESA.2018.18}, URN = {urn:nbn:de:0030-drops-94812}, doi = {10.4230/LIPIcs.ESA.2018.18}, annote = {Keywords: Asynchronous Tatonnement, Fisher Market, Market Equilibrium, Amortized Analysis} }
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