Technological Innovation and Diffusion, Fluctuations and Growth (II): Deterministic and Stochastic Laws of Motion

Ardeni, Pier Giorgio ; Gallegati, Mauro (1993) Technological Innovation and Diffusion, Fluctuations and Growth (II): Deterministic and Stochastic Laws of Motion. Bologna: Dipartimento di Scienze economiche DSE, p. 32. DOI 10.6092/unibo/amsacta/5187. In: Quaderni - Working Paper DSE (170). ISSN 2282-6483.
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Abstract

In the following Part II the deterministic and stochastic laws of motion arising from the processes depicted in Part I (particulary Section 2), are analyzed in detail. In section 4 we study the typical non-linear logistic model emerging as the deterministic equivalent of the diffusion processes of Sections 2.3 and 2.4. The interaction of firm size and firm number are also studied within the same Section. In Section 5 we analyze the (asymptotic) stochastic laws of motion of the system. In particular, we study the Langevin equation and the approximations of the Fokker-Planck equations equivalent of the master equations of the same stochastic processes. We see that stochastic laws of motion may not be equivalent (not even asymptotically) to deterministic ones (e.g. Due to variance effects which determine increasingly larger fluctuations).

Abstract
Document type
Monograph (Working Paper)
Creators
CreatorsAffiliationORCID
Ardeni, Pier Giorgio0000-0002-6240-3003
Gallegati, Mauro
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ISSN
2282-6483
DOI
Deposit date
10 Jun 2016 09:27
Last modified
10 Jun 2016 09:27
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