Optimal taxation policy maximum-entropy approach
DOI:
https://doi.org/10.2298/YJOR0301095JKeywords:
Income inequality, entropy, optimal taxation.Abstract
The object of this paper is firstly to present entropic measure of income inequality and secondly to develop maximum entropy approaches for the optimal reduction of income inequality through taxation. .References
Boltzman, L., Lectures on Gas Theory, Translated by S.G. Brush, California Press, Berkley, 1964.
Dalton, H., "The measurement of the inequality of income", Econom. J., 30 (1920) 348-361.
Dalton, H., The Inequality of Incomes, 2nd Ed., Routhledge and Keagan Paul, London, 1925.
Georgescu-Roegen, The Entropy Law and Economic Process, Harvard University Press, Cambridge Mass, 1971.
Georgescu-Roegen, in: J. Ross and C. Biciliu (eds.), Modern Trends in Cybernetics and System, Vol. I, Springer Verlag, Berlin, 1975.
Hadley, G., Non-Linear and Dynamic Programming, Edition Wesley, New York, 1964.
Havrda, J., and Charvat, F., "The concept of structural a-entropy", Kibernetika, 3 (1967) 30-35.
Kapur, J.N., "Entropic measure of economic inequality", Ind. J. Pure Appl. Maths, 17 (1986) 273-285.
Kapur, J.N., Maximum-Entropy Models in Science and Engineering, Wiley Eastern, New Delhi, 1990.
Kapur, J.N., Measures of Information and their Applications, New-age International Ltd., New Delhi, 1994.
Lorenze, M.O., "Methods of measuring concentration of wealth", J. Amer. Statist. Assoc., 9 (1905) 209-219.
Marshal, A.W., and Olkin, I., Inequalities: Theory of Majorization, Academic Press, New York, 1979.
Mazumder, S.K., and Das, N.C., "Decision-making process maximum entropy approach", Advances in Modelling and Analysis, 41 (2) (1999) 59-68.
Mazumder, S.K., and Das, N.C., "Maximum-entropy and utility in a transportation system", YUJOR, 9 (1999) 113-123.
Mazumder, S.K., Chakrabrati, C.G., and Das, N.C., "Traffic-network and distribution of cars: Maximum entropy approach", ASCE Journal of Transportation Engineering, 2 (2000) 440-455.
Mazumder, S.K., Das, N.C., and De, K., "Constrained non-linear programming: A minimum cross entropy algorithm", Engineering Optimization, 31 (1999) 479-487.
Morales, D., Pardo, L., and Igor, V., "Uncertainty of discrete stochastic systems: General theory and statistical inference", IEEE Transactions on Systems, Man and Cybernetics - PARTA: Systems and Humans, 26 (1996) 681-697.
Morales, D., Pardo, L., and Taneja, I., "Hypoentropy as an index of diversity", Theory of Probability and its Applications, 37 (1992) 191-194.
Pielou, E.C., Ecological Diversity, Wiley, New York, 1975.
Pigou, A.C., Wealth and Welfare, Macmillan, New York, 1912.
Sadi, C., Reflection of the Motive Power of Fire, E. Mendoza, Dover Publ., New York, 1960.
Schur, I., "Math gesellschaft" in: A. Bruur and H. Rohbach (eds), Issai Schur Collected Works, Vol. II, Springer-Verlag, Berlin, 1973, 416-427.
Schutz, R.R., "On the measurement of income inequality", Amer. Econom. Rev., 41 (1951) 107-122.
Sen, A., On Economic Inequality, Oxford University Press, London, 1973.
Shannon, C.E., and Weaver, W., Mathematical Theory of Communication, University of Illinois Press, Chicago, 1948.
Szal, R., and Robinson, S., "Measuring income inequality", in: C.R. Frank Jr. and R.C. Webb (eds.), Income Distribution and Growth in Less-Developed Countries, Brooling Institute, Washington D.C., 491-533.
Theil, H., Economic and Information Theory, North Holland, Amsterdam, 1967.
Theil, H., Statistical Decompositions Analysis, North Holland, Amsterdam, 1972.
Vajda, I., Theory of Statistical Inference and Information, Kluwer, Dordrecht, 1989.
Downloads
Published
Issue
Section
License
Copyright (c) 2003 YUJOR
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
