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The Phillips curve equation can be derived from the (short-run) Lucas aggregate supply function. The Lucas approach is very different from that of the traditional view. Instead of starting with empirical data, he started with a classical economic model following very simple economic principles. Start with the aggregate supply function:
Many researchers, such as Blanchard, Galí [1] or Mankiw [2] appear skeptical with regard to the existence of divine coincidence in the real world. This skepticism is mostly directed to the severely restrictive assumptions required for divine coincidence to exist in the NKPC model, most prominently the absence of real wage rigidities.
The New Keynesian Phillips curve was originally derived by Roberts in 1995, [48] and has since been used in most state-of-the-art New Keynesian DSGE models. [49] The new Keynesian Phillips curve says that this period's inflation depends on current output and the expectations of next period's inflation.
In 2002, Mankiw and Ricardo Reis proposed an alternative to the widely-used New Keynesian Phillips curve that is based on the slow diffusion of information among the population of price setters. Their sticky-information model displays three related properties that are more consistent with accepted views about the effects of monetary policy.
There was still a gap after the IS-LM-Phillips curve model became widely accepted as the unit of analysis in macroeconomic theory: putting numbers on variables like the marginal propensity to consume, the propensity to invest, or the sensitivity of money demand to interest rates, so that macroeconomic forecasts could be made or economic policy ...
During this time, many economies experienced high and rising unemployment, coupled with high and rising inflation, contradicting the Phillips curve's prediction. This stagflation meant that the simultaneous application of expansionary (anti-recession) and contractionary (anti-inflation) policies appeared necessary.
Nevertheless, many models were developed by Keynesian economists, with a famous example being the Phillips curve which predicted an inverse relationship between unemployment and inflation. It implied that unemployment could be reduced by government stimulus with a calculable cost to inflation.
In macroeconomics, the triangle model employed by new Keynesian economics is a model of inflation derived from the Phillips Curve and given its name by Robert J. Gordon.The model views inflation as having three root causes: built-in inflation, demand-pull inflation, and cost-push inflation. [1]