Full text: Konvolut The Personal Distribution of Income 1

Th/ose few units whidh survive for good continue to grow; on the 
other end of. the scale new entrants/enlarge the total sample 
of firms or wealthy’ dynasties. The continuance of the steady xx 
state with unchanged distribution is accompanied by a steadily 
growing size of the sample whidh produces ever larger firms, 
wealth holdings etc. These large ’units always existed potentially 
but could not be realised x± as long as the sample was too small; 
with the growth of the economy such potential sizes become actual 
and in consequence the largest units represent a greater and greater 
shas*e of the total although the theoretical distribution is 
unchanged. With the finite life and the stable population 
of Champernowne 1 s model this peculiar form of growing inequality 
would not arise. 
Further developments 
We may consider the following stages in the treatment of the 
income distribution: 
I. Champernowne 1 s Model. 
II. ßutherfordä model /I9/. He treated person's life-times explicitly. 
III. The above models are open to criticism]» on two grounds: 
First, income is not very suitable as a state variable 
for a Markov process. It does not embody the "influence 

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