RBNZ report for savings working group
Is very good. Read it.
I don’t agree with 100% of it, but I agree with the vast vast majority of it.
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Some toy models which are related to the blog post topic. PDF pre-prints are freely downloadable.
#1) Inequality reversal: effects of the savings propensity and correlated returns
#2) Kinetic Exchange Models for Income and Wealth Distributions
There are more toy models that have been published which are related to the blog topic, but the 2 above are a good start.