Sociological Theory and Methods
Online ISSN : 1881-6495
Print ISSN : 0913-1442
ISSN-L : 0913-1442
Special Section
Social Stratification and Economic Development :
Opportunity, Equality and Efficiency
Arinori YOSANO
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JOURNAL FREE ACCESS

2000 Volume 15 Issue 2 Pages 313-330

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Abstract
     In this paper, we discuss about relationships between “equality of result” and economic development. For this purpose, the model of “the low-level equilibrium trap” by R. Nelson is reviewed, and the consequences are investigated from a viewpoint of “equality of result”. Because “a income per capita-investment per capita” curve can be considered as a composition of an individual's “income-investment” curve, so we analyze mathematically the effect of income inequality for a composition. And two propositions are reduced. First, when an income distributes in perfectly equal, investment per capita is minimized for any income-investment curve and for any income distribution. Second, when an income distributes Pareto's, the more inequality of an income, the more investment per capita. And generalizing income-investment curves to input-output curves, we find that the type of curves changes the two propositions.
     At last, we discuss the type of input-output curves can relate to degree of “equality of opportunity”, and then classify the set of “equality of opportunity”, “equality of result” and “efficiency”.
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© 2000 Japanese Association For Mathematical Sociology
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