Research Publications
Books
Edited Books & Articles
Books
Inequality, Polarization and Poverty: Advances in Distributional Analysis.
New York, Springer, 2009,pp.187
    The study of inequality, polarization and poverty is crucial for understanding the economic well-being of the population of a country. Conceptual and methodological advances and better data have provided greater insights into these issues in recent years, and it is the objective of the book to present a systematic and up-to-date treatment of the developments in the subject. Both welfare theoretic and descriptive approaches are discussed and, since the well-being of a population depends on income and non-income indicators, both uni-dimensional and multi-dimensional frameworks are taken into consideration. The technical and mathematical operations employed to analyze the results are explained intuitively in non-technical terms, and numerical analyses and graphical representations help to illustrate important concepts.
Ethical Social Index Numbers.
Berlin, Heidelberg, Hong Kong, London, New York, Paris, Tokyo:
Springer-Verlag, 1990, pp 322.
    The subject of this book is income distribution-based social index numbers. These index numbers quantify different aspects of income distribution data. The topics covered are: inequality, economic distance, relative deprivation, poverty, tax progressivity, horizontal inequity and mobility. The main purpose of the book is to present the significant results on welfare theoretic approaches to income distribution based measurement problems. Discussions of descriptive approaches, which do not make use of a concept of social welfare, are also included. Thus, the book gives an overall view of the recent developments in this subject. The technical terms and mathematical operations employed to discuss the results are explained in non-technical terms, and intuitive explanation of the mathematical results are given. Numerical illustrations of some of the results are provided using income distribution data.

    Issues in Industrial Economics.
    Aldershot, Brookfield, Hong Kong, Singapore, Sydney:
    Avebury Publishing, 1995, pp 183.
    Reprinted in 1996.

A major concern of industrial economics is market power, the ability of firms to set prices above the competitive level. One of the main purpose of this book is to analyze market power from different perspectives. In particular, its implications (in terms of welfare, firm diversification etc.), relationship with concentration, game theoretic explanation and efficiency hypothesis (Chicago School's view) are considered explicitly. Procedures for analyzing the efficiency of a merger and welfare are investigated. Various issues on concentration and efficiency are discussed elaborately. In the context of a structure-conduct-performance paradigm, the theoretical as well as empirical aspects of issues like profitability - concentration relationship, contestability, entry of firms and entry barriers are explored. Alternative attempts to generate size distribution of firms are examined in detail. Several topics on policy matters are also considered. All technical terms and mathematical results are supplemented by intuitive explanations.
    Microeconomics.
    Bangalore, Chennai, Hyderabad, Kolkata, New Delhi:
    Allied Publishers Pvt Ltd.  2002,  pp.782.
    Reprinted in 2004, 2005, 2008.
This book adopts an analytical and geometric methodology in the presentation of the text. Since the main text is comparatively free of mathematics, many chapters have been supplemented by mathematical appendices. Each chapter also contains applied examples directly related to the theoretical issues discussed in the text. Different types of exercises like multiple choice, prove-disprove questions, and quantitative problems and questions are also included. In addition to covering traditional aspects of microeconomics, the book also discusses some recent developments like game theory, externalities, public good, information and law. Also, topics such as linear models, theory of distribution, and international trade, which are not usually found in texts on microeconomics, have been discussed.

This book should be useful as class material for undergraduate and graduate students of economics and business.
    Edited Books:
    (1) Econophysics & Economics of Games, Social Choices and Quantitative Techniques(with Banasri Basu, Bikas K. Chakrabarti, and Kausik Gangopadhyay), Springer-Verlag, Italia, 2009.

    (2) Quantitative Economics: Theory and Practice, Essays in Honor of Professor N. Bhattacharya, Allied Publishers, New Delhi, 1998, pp.370.
Articles

"Stochastic Dominance Relations for Integer Variables" (with C. Zoli), Forthcoming in Journal of Economic Theory.

"Measuring Ethnic Polarization" (with B. Maharaj), Forthcoming in Social Choice and Welfare.

"A Reconsideration of the Tradeoffs in the New Human Development Index", Forthcoming in Journal of Economic Inequality.

"Poverty and Time" (with W. Bossert and C. D'Ambrosio), Forthcoming in Journal of Economic Inequality.

"Subgroup Decomposable Inequality Indices and Reduced-Form Indices of Polarization" (with B.Maharaj), Forthcoming in Keio Economic Studies.

"On Tradeoffs in the Human Development Indices", Forthcoming in Indian Journal of Human Development.

"Inequality and Polarization: An Axiomatic Approach" (with N. Chattopadhyay and B.Maharaj), in Measurement of Individual Well-Being and Group Inequalities, J. Silber and J. Deutsch (eds.), London: Rutledge, 2010.

"The von Neumann-Morgernstern Utility Functions with Constant Risk Aversions" (with D. Chakrabarti), in Econophysics of Order-driven Markets, F. Abergel, B.K. Chakrabarti, A Chakraborti and M. Mitra (eds.), Milan: Springer (Italia), 2010.

"Polarization Ordering of Income Distributions" (with C. D'Ambrosio), in Review of Income and Wealth, Vol.56, 2010.

"Metodologia de la medicion multidimensional de la pobreza para Mexico" in Minor Mora (coordinated), Medicion Multidimensional de la pobreza en Mexico, Mexico City: El Colegio de Mexico, 2010.

"Minimal-Axiom Characterizations of the Coleman and Banzhaf Indices of Voting Power" (with R. Barua and P.Sarkar), in Mathematical Social Sciences, Vol.58, 2009.

"A Note on the Carreras-Coleman Decisiveness Index" (with R.Barua and S.Roy), in International Game Theory Review, Vol.11, 2009.

"Generalized Gini Occupational Segregation Indices" (with C. D'Ambrosio and J. Silber), in Research on Economic inequality, Vol. 17, 2009.

"Deprivation, Inequality and Welfare", in Japanese Economic Review, Vol.60, 2009.

"Equity and Efficiency as Components of a Social Welfare Function", in International Journal of Economic Theory, Vol.5, 2009.

"Subgroup Decomposable Intermediate Indices of Inequality" (with S. Tayagarupananda), in Spanish Economic Review, Vol.11, 2009.

"On the Watts Multidimensional Poverty Index and its Decomposition" (with J. Deutsch and J. Silber), in World Development, Vol.36, 2008.

"Multidimensional Poverty Orderings: Theory and Applications" (with F. Bourguignon ) , in Arguments for a Better World: Essays in Honor of Amartya Sen (Volume 1: Ethics, Welfare and Measurement), K. Basu and R. Kanbur (eds.), London: Oxford University Press, 2008.

"Measuring Multidimensional Poverty: The Axiomatic Approach" ( with J. Silber),    in  Quantitative Approaches to Multidimensional Poverty Measurement,  N. Kakwani and J. Silber (eds), New York: Palgrave MacMillan, 2008.

"Millennium Development Goals: Measuring Progress towards Their Achievements" (with A. Majumder), in  Journal of Human Development, Vol.9, 2008.

"A Generalized Index of Employment Segregation" (with J. Silber), in Mathematical Social Sciences, Vol.53, 2007.

"A Deprivation-based Axiomatic Characterization of the Bonferroni Index of Absolute Inequality", in Journal of Economic Inequality, Vol.5, 2007.

"A Treatment of Absolute Indices of Polarization" (with A. Majumder and S.Roy), in Japanese Economic Review, Vol. 58, 2007.

Measuring Human Poverty by Population and Factor Decomposable Indices" (with A. Majumder), in Indian Economic Journal, Vol.55 , 2007.

"Population Growth and Poverty Measurement"(with R. Kanbur and D. Mukherjee), in  Social Choice and Welfare, Vol. 26,2006.

"The Measurement of Social Exclusion" (with C. D'Ambrosio), in Review of Income and Wealth, Vol.52, 2006.

"On the Coleman Indices of Voting Power" (with R. Barua and S. Roy),  in European Journal of Operational Research, Vol. 171, 2006.

"An Axiomatic Approach to Multidimensional Poverty Measurement via Fuzzy Sets", in Fuzzy Set Approach to  Multidimensional Poverty Measurement, G. Betti and A. Lemmi(eds.), New York: Springer-Verlag, 2006.

"Intersociety Literacy Comparisons" (with A. Majumder),in  Inequality, Poverty and Well- being , Mark McGillivray (ed.) New York: Palgrave Macmillan,2006.

"A New Characterization of the Banzhaf Index of Power" (with R. Barua and S. Roy), in International Game Theory Review, Vol.7, 2005.

"Measuring Human Poverty: A Generalized Index and an Application Using Basic Dimensions of Life and Some Anthropometric Indicators" (with A. Majumder), in Journal of Human Development, Vol.6, 2005.

"Measuring Power in Weighted Majority Games" (with R. Barua and S. Roy), in Homo Oeconomicus , Vol.22, 2005.

"A Characterization and Some Properties of the Banzhaf-Coleman-Dubey-Shapley Sensitivity Index" (with R. Barua, S. Roy and P. Sarkar), in Games and Economic Behavior, Vol. 49, 2004.

"Welfare Indicators : A Review and New Perspectives, II. Measurement of Poverty" (with P. Muliere), in Metron-International Journal of Statistics, Vol.62, 2004.

"Individual Welfare, Social Deprivation and Income Taxation" (with P.Moyes), in Economic Theory, Vol.21, 2003.

"Welfare Indicators : A Review and New Perspectives, I. Measurement of Inequality" (with P. Muliere), in Metron-International Journal of Statistics, Vol.61, 2003.

"Measurement of Multidimensional Poverty" (with F. Bourguignon), in Journal of Economic Inequality, Vol.1, 2003.

"A Generalized Human Development Index", in Review of Development Economics, Vol 7, 2003.

"Why Measuring Inequality by the variance Makes Sense from Theoretical Point of View?", in Journal of Income Distribution, Vol.10, 2002.

"Measuring Inter-industry trade: An Axiomatic Approach" (with J. Silber and A. Pfingsten), in Keio Economic Studies, Vol.34, 2002.

"Inequality, Polarization and Welfare: Theory and Applications" (with A. Majumder), in Australian Economic Papers, Vol. 40, 2001.

"The Variance as a Subgroup Decomposable Measure of Inequality", in Social Indicators Research, Vol. 53, 2001.

"Measures of Relative Deprivation and their Meaning in Terms of Social Satisfaction" (with D. Mukherjee), in Theory and Decision, Vol. 47, 1999.

"Measuring Inequality: the Axiomatic Approach", in Handbook of Income Inequality Measurement, J. Silber (ed.), Boston: Kluwer Academic, 1999.

"Measuring Improvement in Well-being" (with D. Mukherjee), in Keio Economic Studies, Vol.36, 1999.

"A Family of Multidimensional Poverty Measures" (with F. Bourguignon), in Advances in Econometrics, Income Distribution, and Methodology of Science, Essays in Honor of Professor C. Dagum, D. J. Slottje (ed.). New York: Springer-Verlag , 1998.

"Efficient Horizontal Mergers", in Journal of Economic Theory, Vol.82, 1998.

"Optimal Subsidy for the Poor" (with D. Mukherjee), in Economics Letters, Vol. 61, 1998.

"Ranking Income Distributions by Deprivation Orderings" (with D. Mukherjee), in Social Indicators Research, Vol. 46, 1999.

"Lorenz Domination, Utilitarian Deprivation Rule and Equal Sacrifice Principle" (with D. Mukherjee), in Manchester School, Vol. 66, 1998.

"On the Family of Subgroup and Factor Decomposable Measures of Multidimensional Poverty" (with D. Mukherjee and R. Ranade), in Researh on Economic Inequality, Vol. 8, Connecticut: JAI Press, 1998.

"Income Inequality and Tax Progression" (with N. Chattopadhyay), in Hitotsubasi Journal of Economics, Vol. 38, 1997.

"On Shorrocks' Reinvestigation of the Sen Poverty Index", in Econometrica, Vol. 65, 1997.

"Relative Deprivation and Satisfaction Orderings", in Keio Economic Studies, Vol. 34, 1997.

"Achievement and Improvement in Living Standards" (with A. Majumder), in Journal of Development Economics, Vol. 50, 1996.

"Achievement and Improvement in Living Standards: an Empirical Analysis" (with A. Majumder), in Social Indicators Research, Vol. 37, 1996.

"Income Inequality and Relative Deprivation" (with N. Chattopadhyay and A. Majumder), in Keio Economic Studies, Vol. 32, 1995.

"A Note on the Measurement of Mobility", in Economics Letters, Vol. 48, 1995.

"An Ethical Index of Relative Deprivation" (with N. Chattopadhyay), in Research on Economic Inequality, Vol. 5, Connecticut: JAI Press, 1994.

"On Employment Segregation by Sex" (with S. Chakravarty), in Demography India, Vol.24, 1995.

"Employment Segregation Indices: An Axiomatic Characterization" (with J. Silber), in Models and Measurement of Welfare and Inequality, W. Eichhorn (ed.), New York:Springer-Verlag, 1994.

"Measurement of Income Inequality: Observed Versus True Data" (with W. Eichhorn), in Models and Measurement of Welfare and Inequality, W. Eichhorn (ed.),New York: Springer-Verlag, 1994.

"On Indices of Marginal and Total Production Costs" (with N. Chattopadhyay), in Statistical Hefte/ Statistical Papers, Vol. 35, 1994.

"Oligopolies and Aggregate Market Power", in Mathematical Modeling in Economics, Essays in Honor of Professor W. Eichhorn, W. E. Diewert et.al. (eds.),New York: Springer-Verlag, 1993.

"A General Index of Aging" (with S. Chakravarty), in Demography India, Vol.22, 1993.

"Efficiency and Concentration", in Journal of Productivity Analysis, Vol. 3, 1992.

"An Axiomatic Characterization of a Generalized Index of Concentration" (with W. Eichhorn), in Journal of Productivity Analysis, Vol. 2, 1991.

"Distribution of Personal Income: Development of a New Model and Its Application to U.S Income Data" (with A. Majumder), in Journal of Applied Econometrics, Vol. 5, 1991.

"Ethical Indices of Affluence", in Methods of Operation Research, Vol. 63, 1990.

"Migration and Welfare" (with B. Dutta), in European Journal of Political Economy, Vol. 6, 1990.

"On Quasi-Orderings of Income Profiles", in Methods of Operations Research, Vol. 60, 1990.

"The Optimum Size Distribution of Firms", in Mathematical Social Sciences, Vol. 18, 1989.

"Axiomatizations of the Entropy Numbers Equivalent Index of Industrial Concentration" (with J. A. Weymark), in Measurement in Economics, W. Echhorn (ed.), New York: Physica-Verlag, 1988.

"Extended Gini Indices of Inequality", in International Economic Review, Vol. 29, 1988.

"On the Separable Industry Performance Evaluation Function", in Economics Letters, Vol. 29, 1988.

"A Note on Measures of Distance Between Income Distribution" (with B. Dutta), in Journal of Economic Theory, Vol. 41, 1987.

"Ethical Indices of Income Mobility" (with B. Dutta and J. A. Weymark), in Social Choice and Welfare, Vol. 2, 1985.

"Measurement of Fuzziness: A General Approach" (with T. Roy), in Theory and Decision, Vol. 19, 1985.

"Normative Indices for Measuring Social Mobility", in Economics Letters, Vol. 15, 1984.

"On Indices of Relativite Deprivation" (with A. B. Chakraborty), in Economics Letters, Vol. 14, 1984.

"A New Index of Poverty", in Mathematical Social Sciences, Vol. 6, 1983.

"Ethically Flexible Measures of Poverty", in Canadian Journal of Economics, Vol. 16, 1983.

"Measures of Poverty Based on Representative Income Gap", in Sankhya, The Indian Journal of Statistics, Series B, Vol.45, 1983.

"An Axiomatization of the Entropy Measure of Inequality", in Sankhya, The Indian Journal of Statistics, Series B, Vol.44, 1982.

"Normative Indices for the Measurement of Horizontal Inequity", in Journal of Quantitative Economics, Vol.1, 1983.

"Poverty in Rural India: A Decomposition Analysis" (with N. Bhattacharya and P. Pal), in Indian Economic Review, Vol.21, 1986.

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