 Coupled Dynamics in a Phillips Machine Model of the MacroeconomyEconomia politica, 2011, issue 1, 171-188 Abstract: In this paper it is claimed that the Phillips machine, contrary to what is sometimes believed, is a nonlinear mechanism. Phillips (1950) presented his machines, as formally described, with linear differential equations. In doing so, he fell into what Samuelson came later to define as the linearity dogma. It is argued here that the Phillips machines are not linear mechanisms but are coherent with a system of nonlinear difference-differential equations. Here, this system is in turn approximated with a set of nonlinear differential equations, which are isomorphic with the Hicks-Goodwin flexible multiplier accelerator models. Consistent with this conjecture and following a Goodwin-Phillips' suggestion, we have presented a «digital» simulation of two coupled would-be Phillips machines. Whether the data generated with the set of nonlinear difference equations is consistent with the observations emerging from the actual coupled Phillips machines could be verified by comparing the data emerging from the two systems - the digital and the analogue ones. Keywords: A10; B16; B41; C63; F44 (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:mul:jb33yl:doi:10.1428/35934:y:2011:i:1:p:171-188 Access Statistics for this article Economia politica is currently edited by Alberto Quadrio Curzio, Giorgio Lunghini, Pier Carlo Nicola More articles in Economia politica from Società editrice il Mulino |
Is your work missing from RePEc? Here is how to contribute.
Questions or problems? Check the EconPapers FAQ or send mail to .
EconPapers is hosted by the
School of Business at Örebro University.