Use a PC - MR diagram to show that the cumulative unemployment caused by disinflation is independent

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Use a PC - MR diagram to show that the cumulative unemployment caused by disinflation is independent of the degree of inflation aversion \((\beta)\) of the central bank. How does this finding change if.

(a) The Phillips curves are convex

(b) The Phillips curves are steeper (i.e. \(\uparrow \alpha\) )?

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