Abstract
This paper deals with Lorenz curves. They allow for the representation of ‘inequality’ or ‘variability’ independent from absolute magnitudes. The general case is concerned with individuals or objects with an associated non-negative value such as body mass, body height, wealth owned, economic value or return from a customer or product.
This is work motivated by Harald Dyckhoff in the context of a recent doctoral thesis by E. L. A. Herlyn under his guidance (Herlyn 2012). This has led to the Springer publication by Kämpke/Radermacher 2015. This paper summarizes some of the main insights of the book that – without Harald Dyckhoff´s insistence on clarity and rigour – would not have been written.
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
Atkinson, A. B.: On the Measurement of Inequality, in: Journal of Economic Theory (2) 1970, pp. 244–263.
Atkinson, A. B./ Brandolini, A.: Unveiling the Ethics behind Inequality Measurement – Daltons’s Contribution to Economics, Oxford 2014.
Bauer, H.: Wahrscheinlichkeitstheorie und Grundzüge der Maßtheorie. 2. Aufl., Berlin 1974 Elstrodt, J.: Maß- und Integrationstheorie, 6. Aufl., Berlin 2009
Gastwirth, J. L.: A General Definition of the Lorenz Curve, in: Econometrica (39) 1971, pp. 1037–1039.
Herlyn, E. L. A.: Einkommensverteilungsbasierte Präferenz- und Koalitionsanalysen auf der Basis selbstähnlicher
Equity-Lorenzkurven – Ein Beitrag zur Quantifizierung sozialer Nachhaltigkeit, Wiesbaden 2012.
Kämpke, T./ Radermacher F. J.: Income Modeling and Balancing – A Rigorous Treatment of Distribution Patterns, Heidelberg et al. 2015.
Kolm, S.-C.: Unequal Inequalities I, in: Journal of Economic Theory (12) 1976a, pp. 416–442.
Kolm, S.-C.: Unequal Inequalities II, in: Journal of Economic Theory (13) 1976b, pp. 82–111.
Leslie, R. A.: Exploring the Gini Index of Inequality with Derive, Working document, Agnes Scott College, Decatur 2000.
Müller, A./ Stoyan, D.: Comparison Methods for Stochastic Models and Risks, New York 2002.
Rothschild, M./ Stiglitz, J. E.: Increasing Risk I – A Definition, in: Journal of Economic Theory (2) 1970, pp. 225–243.
Rothschild, M./ Stiglitz, J. E.: Some Further Results on the Measurement of Inequality, in: Journal of Economic Theory (6) 1973, pp. 188–204.
Veinott, A. F.: Optimal Policy in Dynamic, Single Product Non-stationary Inventory Model, in: Operations Research (13) 1965, pp. 761–778.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer Fachmedien Wiesbaden
About this chapter
Cite this chapter
Radermacher, FJ. (2016). Lorenz Curves and Atkinson Theorem – Some Recent Insights. In: Ahn, H., Clermont, M., Souren, R. (eds) Nachhaltiges Entscheiden. Springer Gabler, Wiesbaden. https://doi.org/10.1007/978-3-658-12506-6_4
Download citation
DOI: https://doi.org/10.1007/978-3-658-12506-6_4
Published:
Publisher Name: Springer Gabler, Wiesbaden
Print ISBN: 978-3-658-12505-9
Online ISBN: 978-3-658-12506-6
eBook Packages: Business and Economics (German Language)