Evolution of Prices under the Inertia Principle

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/3300 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/3300 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/3300 archive 351 disk0/00/00/32/59 2016-01-15 01:59:34 2021-08-27 17:13:33 2016-01-15 01:59:34 monograph show 2 Aubin J.-P. 7347 Evolution of Prices under the Inertia Principle pub iis_met prog_sds The decentralized evolution of allocations of resources among consumers described by their change functions is characterized by a regulation rule associating with each allocation the subset of prices regulating them. Sufficient budgetary conditions analog to the Walras law for the viability of such evolutions are then provided. Next, the issue of finding feedback controls is tackled: conditions under which slow evolutions are given. More to the point, dynamical feedback controls obeying the inertia principle are provided: prices are changed only when the viability of the evolution mechanism is at stakes. We then derive the differential equations governing the heavy evolution of prices: for a given bound on inflation rates, the price evolves with minimal velocity. 1989-11 published WP-89-085 WP-89-085 10 1134 public working_paper IIASA, Laxenburg, Austria 21 FALSE info:eu-repo/semantics/book