A non newtonian examination of the theory of exogenous economic growth

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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has unexpectedly be a look-in in such a way that the additive derivative approach of New- ton and Leibnitz could have been replaced by a multiplicative one, more adapted to growth phenomenon.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


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Anon-newtonianexaminationofthetheoryofexogenouseconomicgrowth.DianaAndradaFilip&CyrillePiateckiJuly14,2010AbstractThedevelopmentofthenewtoniancalculushasunexpectedlybealook-ininsuchawaythattheadditivederivativeapproachofNew-tonandLeibnitzcouldhavebeenreplacedbyamultiplicativeone,moreadaptedtogrowthphenomenon.Inthispaper,wehavetriedtopresenthowanon-newtoniancalculuscouldbeappliedtore-postulateandanalysetheneoclassicalexogenousgrowthmodel.Contents1Introduction22Anunexpectedlock-in23Somejustiicationandpropertiesoftheproductcalculus44Non-newtonianEulersformulaforhomogeneousfunctions75TheSolow-Swanexogenousgrowthmodel9ThisworkwassupportedbyCNCSIS-UEFISCSU,projectnumberPNIIIDEI2366/2008Babe¸s-BolyaiUniversityofCluj-Napoca,Romania—diana.filip@econ.ubbcluj.roOEL&LEO,Orle´ansUniversity,Francecyrille.piatecki@univ-orleans.fr1
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