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o produce a simple Lotka-Volterra macroeconomic model. This basic model generates endogenous boom and bust business cycles of the sort described by Minsky and Austrian economists. From this model an exact formula for the Bowley ratio; the ratio of returns to labour to total returns, is derived. This f
nvariants of this type might lay the foundations for an entirely novel type of theory." Schumpeter (1949, p. 155), discussing the Pareto law — via [Gabaix 2009] This paper introduces some mathematical and simulation models and supports these models with various theoretical ideas from economics, mathem
al unproductive. This then generates a downswing of declining wealth, consumption and wages. This is the normal cycle of capitalism as described by Minsky and the Austrians. Booms and busts are endogenous. Free markets are not inherently stable. Again, as with the income and company models it noticeab
a particular focus of attention, as its form gives rise to constant shares of returns to labour and capital. (I am somewhat reluctant to criticise Gabaix, as he is one of the few economists who has recognised the importance of power-laws and other 'anomalous' invariants in economics. However his quote
ge payments to rents. The macroeconomic models in section 4 above suggest that liquidity can be formed endogenously, in exactly the way proposed by Minsky. This suggests that, just as central banks are expected to control changes in the money supply caused by fractional reserve banking, it seems appro
butions, and the split of the returns from labour and capital are all long-standing 'anomalies' within economics. Economists such as Schumpeter and Gabaix have noted these regularities [Gabaix 2009]. Why almost all other economists, even heterodox economists such as Gallegati et al, have shown such dis
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