Abstract
Almost all functions used in economics are concave, but there are important examples of convex functions, e. g., cost functions and poverty or concentration indices. In these cases one can choose between working with convex or concave functions (e.g., poverty indices or welfare functions).
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Hanoch, G. and Levy, H. (1). “The Efficiency Analysis of Choices involving Risk, ”Review of Economic Studies, 36: 335–346.
Lambert, Peter (1993). The Distribution and Redistribution of Income. Manchester: Manchester University Press.
Rothschild, M. and Stiglitz, J. E. (1970) “Increasing Risk I. A Definition, ” Journal of Economic Theory, 2: 225–253.
Shorrocks, A. F. (1983). “Ranking Income Distributions,” Economica, 50: 317.
Spencer, B. D. and Fisher, S. (1990). “On Comparing Distributions of Poverty Gaps,” Northwestern University, Dept. of Statistics, Mimeo.
Yitzhaki, S. (1982). “Stochastic Dominance, Mean Variance and Gini’s Mean Difference,” American Economic Review, 72 (March): 178–85.
Yitzhaki, S. and Olkin I. (1991). “Concentration Indices and Concentration Curves,” in Karl Mosler and Marco Scarsini (eds.) Stochastic Orders and Decisions under Risk, Institute of Mathematical Statistics: Lecture-Notes Monograph Series, 19: 380–392.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Physica-Verlag Heidelberg
About this chapter
Cite this chapter
Yitzhaki, S. (1999). Necessary and Sufficient Conditions for Dominance Using Generalized Lorenz Curves. In: Slottje, D.J. (eds) Advances in Econometrics, Income Distribution and Scientific Methodology. Physica-Verlag HD. https://doi.org/10.1007/978-3-642-93641-8_19
Download citation
DOI: https://doi.org/10.1007/978-3-642-93641-8_19
Publisher Name: Physica-Verlag HD
Print ISBN: 978-3-642-93643-2
Online ISBN: 978-3-642-93641-8
eBook Packages: Springer Book Archive