Natural rate of unemployment and efficiency: a dynamic analysis with flexible prices and increasing returns

We present a continous time non tatonnement process for frictionless and perfectly competitive markets with (possibly non convex) production, where the natural rate of unemployment (NRU) emerges as the asymptotic value of unemployment. Consumers and producers are myopic and repeatedly participate i...

Full description

Bibliographic Details
Main Authors: Giraud, G, Rochon, C
Format: Working paper
Published: University of Oxford 2008
_version_ 1797054737027170304
author Giraud, G
Rochon, C
author_facet Giraud, G
Rochon, C
author_sort Giraud, G
collection OXFORD
description We present a continous time non tatonnement process for frictionless and perfectly competitive markets with (possibly non convex) production, where the natural rate of unemployment (NRU) emerges as the asymptotic value of unemployment. Consumers and producers are myopic and repeatedly participate in Mertens' (2003) limit-price mechanism. We show that underemployment and unsold inventories can survive along the solution paths of our dynamics - the hallmark of the failure of Say's law. The following paradox appears: A nonzero NRU is compatible with Pareto optimality; conversely, full employment is compatible with sub optimality. Nevertheless, each trade and production path of our price quantity dynamics converges to some infinitesimal Pareto optimal point as long as there are no unsold inventories at the limit.
first_indexed 2024-03-06T19:01:25Z
format Working paper
id oxford-uuid:13a877ca-7d39-45e5-a44f-a8b68aba32a0
institution University of Oxford
last_indexed 2024-03-06T19:01:25Z
publishDate 2008
publisher University of Oxford
record_format dspace
spelling oxford-uuid:13a877ca-7d39-45e5-a44f-a8b68aba32a02022-03-26T10:15:06ZNatural rate of unemployment and efficiency: a dynamic analysis with flexible prices and increasing returnsWorking paperhttp://purl.org/coar/resource_type/c_8042uuid:13a877ca-7d39-45e5-a44f-a8b68aba32a0Symplectic ElementsBulk import via SwordUniversity of Oxford2008Giraud, GRochon, CWe present a continous time non tatonnement process for frictionless and perfectly competitive markets with (possibly non convex) production, where the natural rate of unemployment (NRU) emerges as the asymptotic value of unemployment. Consumers and producers are myopic and repeatedly participate in Mertens' (2003) limit-price mechanism. We show that underemployment and unsold inventories can survive along the solution paths of our dynamics - the hallmark of the failure of Say's law. The following paradox appears: A nonzero NRU is compatible with Pareto optimality; conversely, full employment is compatible with sub optimality. Nevertheless, each trade and production path of our price quantity dynamics converges to some infinitesimal Pareto optimal point as long as there are no unsold inventories at the limit.
spellingShingle Giraud, G
Rochon, C
Natural rate of unemployment and efficiency: a dynamic analysis with flexible prices and increasing returns
title Natural rate of unemployment and efficiency: a dynamic analysis with flexible prices and increasing returns
title_full Natural rate of unemployment and efficiency: a dynamic analysis with flexible prices and increasing returns
title_fullStr Natural rate of unemployment and efficiency: a dynamic analysis with flexible prices and increasing returns
title_full_unstemmed Natural rate of unemployment and efficiency: a dynamic analysis with flexible prices and increasing returns
title_short Natural rate of unemployment and efficiency: a dynamic analysis with flexible prices and increasing returns
title_sort natural rate of unemployment and efficiency a dynamic analysis with flexible prices and increasing returns
work_keys_str_mv AT giraudg naturalrateofunemploymentandefficiencyadynamicanalysiswithflexiblepricesandincreasingreturns
AT rochonc naturalrateofunemploymentandefficiencyadynamicanalysiswithflexiblepricesandincreasingreturns