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Konvolut Wealth and Income Distribution 1

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Works

Document type:
Works
Collection:
Josef Steindl Collection
Title:
Konvolut Wealth and Income Distribution 1
Author:
Steindl, Josef
Scope:
Konvolut aus handschriftlichen und maschinenschriftlichen Blättern (insgesamt 70 Blätter)
Year of publication:
1975
Source material date:
[vermutlich um 1975]
Language:
English
Description:
Das vorliegende Konvolut umfasst: handschriftliche Tabellen mit Datenmaterial zur Einkommensverteilung in Schweden, Teile eines Papers zu den Modellen der Einkommens- und Vermögensverteilung von Pareto, Simon und Champernowne sowie ausführliche Fußnoten mit Modellanwendungen bzw. Bezug zu anderen Bereichen wie z.B. Unternehmenswachstum (Bezug zu Growth of Firms in "Random Processes").
Note:
Das Konvolut enthält handschriftliche Tabellen, graphische Darstellungen der Berechnungen auf Millimeterpapier, Teile eines Papers (Typoskript) mit Seitennummerierung 8-25 sowie mehrere Blätter mit handschriftlichen Notizen.
Related work:
Steindl, Josef: The Pareto Distribution. In: Steindl, Josef: Economic Papers 1941-88. London: Macmillan, 1990, S. 321-327 Steindl, Josef: The Personal Distribution of Income. In: Steindl, Josef: Economic Papers 1941-88. London: Macmillan, 1990, S. 356-371 Steindl, Josef: The Distribution of Wealth after a Model of Wold and Whittle. In: Steindl, Josef: Economic Papers 1941-88. London: Macmillan, 1990, S. 328-355
Topic:
Stochastic processes and size distribution
JEL Classification:
D31 [Personal Income, Wealth, and Their Distributions]
Shelfmark:
S/M.27.1
Rights of use:
All rights reserved
Access:
Free access

Full text

22 
salary. The salary thus decreases geometrically as we go from 
top to bottom. 
In terms of algebra: 
n: span of control 
b: manager's salary in proportion to that of his direct 
subordinates 
L: level of the hierarchy (counting the base as unity) 
N(L): number of managers at level L 
N(L ) ~ No 'Vo 
t-L 
C(L): Salary at level L 
No: number of managers at the base level 
A: Salary at the base 
X.A/-- - 
Vr 
C 
C(L)^A -6 l ' 
— A J 
tv 
(V 
Atv 
~Vo 
The salaries under the assumptions given conform to Pareto's 
distribution. Simon bases his model on empirical facts (Roberts' 
regression of top manager's salary on the size of firm, regression 
coefficient 0,37, which would correspond to the value of 
and Davis' Pareto distribution of managers' salaries in General 
Motors, Pareto coefficient 3). 
The above demonstration is purely deterministic, but if 
we regard the span of control as the reciprocal of a probability
	        

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