A non newtonian examination of the theory of exogenous economic growth

Diana Andrada

Description

A non-newtonian examination of the theory of exogenous economic growth?. Diana Andrada Filip† & Cyrille Piatecki‡ July 14, 2010 Abstract The development of the newtonian calculus has unexpectedly be a look-in in such a way that the additive derivative approach of New- ton and Leibnitz could have been replaced by a multiplicative one, more adapted to growth phenomenon. In this paper, we have tried to present how a non-newtonian calculus could be applied to re- postulate and analyse the neoclassical exogenous growth model. Contents 1 Introduction 2 2 An unexpected lock-in 2 3 Some justification and properties of the product calculus 4 4 Non-newtonian Euler's formula for homogeneous functions 7 5 The Solow-Swan exogenous growth model 9 ?This work was supported by CNCSIS - UEFISCSU, project number PNII IDEI 2366/2008 †Babes¸-Bolyai University of Cluj-Napoca, Romania — — & LEO ‡LEO, Orleans University, France — 1

• standard newtonian


• romania —


• exogenous growth


• must start


• mention has


• macro-economic model


• growth model


• newtonian calculus

Sujets

• Wilhelm
• University of Orléans
• Orleans
• Babe?-Bolyai University
• Newton
• Andrada

Informations

• Publié par: pefav
• Nombre de lectures: 16
• Langue: English

Extrait

Anon-newtonianexaminationofthe theoryofexogenouseconomicgrowth.  DianaAndradaFilip † &CyrillePiatecki ‡ July14,2010 Abstract Thedevelopmentofthenewtoniancalculushasunexpectedlybe alook-ininsuchawaythattheadditivederivativeapproachofNew- tonandLeibnitzcouldhavebeenreplacedbyamultiplicativeone, moreadaptedtogrowthphenomenon.Inthispaper,wehavetried topresenthowanon-newtoniancalculuscouldbeappliedtore- postulateandanalysetheneoclassicalexogenousgrowthmodel. Contents 1Introduction2 2Anunexpectedlock-in2 3Somejustiicationandpropertiesoftheproductcalculus4 4Non-newtonianEuler’sformulaforhomogeneousfunctions7 5TheSolow-Swanexogenousgrowthmodel9  ThisworkwassupportedbyCNCSIS-UEFISCSU,projectnumberPNIIIDEI 2366 / 2008 † Babe¸s-BolyaiUniversityofCluj-Napoca,Romania— [e-mail] OEL&— ‡ LEO,Orle´ansUniversity,France— [e-mail] 1