Universal Social Orderings: An Integrated Theory of Policy Evaluation, Inter-Society Comparisons, and Interpersonal Comparisons

We introduce the concept of a universal social ordering, defined on the set of pairs of an allocation and a preference profile of any finite population. It is meant to unify evaluations and comparisons of welfare (living standards) for individuals and populations of possibly different sizes and preferences. It can be used for policy evaluation, international comparisons, growth assessment, and inequality measurement. It even makes it possible to evaluate policy options that affect the size of the population or the preferences of its members. We study how to extend the theory of social choice in order to select such orderings on a rigorous axiomatic basis. We provide foundations for leximin as well as additively separable criteria. Key ingredients in this analysis are fairness principles in social aggregation, attitudes with respect to population size, and the bases of interpersonal comparisons. We discuss how this sheds light on recent developments in the empirical literature on international comparisons.

[1]  M. Fleming,et al.  A Cardinal Concept of Welfare , 1952 .

[2]  Marc Fleurbaey Two criteria for social decisions , 2007, J. Econ. Theory.

[3]  R. Willig Social Welfare Dominance , 1981 .

[4]  W. Bossert,et al.  Utility in Social Choice , 2004 .

[5]  R. Summers,et al.  Rationalizing the Penn World Table: True Multilateral Indices for International Comparisons of Real Income , 2004 .

[6]  K. Zimmermann,et al.  Economic Theory of Optimal Population , 1989 .

[7]  M. Fleurbaey,et al.  Do irrelevant commodities matter , 2007 .

[8]  W. Erwin Diewert,et al.  New Methodological Developments for the International Comparison Program , 2010 .

[9]  A Theory of Fairness and Social Welfare: Bibliography , 2011 .

[10]  M. Fleurbaey,et al.  A Theory of Fairness and Social Welfare , 2011 .

[11]  P. Samuelson,et al.  In-variant Economic Index Numbers and Canoni-cal Duality: Survey and Synthesis , 1973 .

[12]  W. Bossert,et al.  Leximin population ethics. , 1996, Mathematical social sciences.

[13]  C. d'Aspremont,et al.  Equity and the Informational Basis of Collective Choice , 1977 .

[14]  Peter J. Klenow,et al.  Beyond GDP? Welfare Across Countries and Time , 2010 .

[15]  Krishna Pendakur,et al.  How Many Types are There? , 2013 .

[16]  Walter Diewert,et al.  Exact and superlative index numbers , 1976 .

[17]  K. Arrow Social Choice and Individual Values , 1951 .

[18]  Elisha A. Pazner,et al.  Egalitarian Equivalent Allocations: A New Concept of Economic Equity , 1978 .

[19]  Richard S. Varga,et al.  Proof of Theorem 5 , 1983 .

[20]  G. Mayraz,et al.  The Marginal Utility of Income , 2008 .

[21]  Kenneth J. Arrow,et al.  Social choice and public decision making , 1986 .

[22]  Erik Schokkaert,et al.  What good is happiness , 2009 .

[23]  Walter Bossert,et al.  Population issues in social choice theory, welfare economics and ethics , 2005 .

[24]  Marc Fleurbaey,et al.  Social choice and the indexing dilemma , 2007, Soc. Choice Welf..

[25]  H. Dalton The Measurement of the Inequality of Incomes , 1920 .

[26]  G. Asheim Comparing the Welfare of Growing Economies , 2011 .

[27]  A. Sen,et al.  The Possibility of Social Choice , 1999 .

[28]  M. Veelen,et al.  A Note on Different Approaches to Index Number Theory , 2008 .

[29]  O. Blanchard,et al.  Labor Markets and Monetary Policy: A New-Keynesian Model with Unemployement , 2008 .

[30]  A. Sen,et al.  Collective Choice and Social Welfare , 2017 .

[31]  M. Golosov,et al.  ± ciency with Endogenous Population Growth ¤ , 2003 .

[32]  R. Hill Happiness Around the World: The Paradox of Happy Peasants and Miserable Millionaires , 2012 .

[33]  Angus Deaton Price Indexes, Inequality, and the Measurement of World Poverty , 2010 .

[34]  Marc Fleurbaey,et al.  International Comparisons of Living Standards by Equivalent Incomes , 2009 .

[35]  Angus Deaton,et al.  Understanding Ppps and Ppp-Based National Accounts , 2008 .

[36]  Marc Fleurbaey,et al.  The Pazner-Schmeidler social ordering: A defense , 2005 .

[37]  Bengt Hansson,et al.  The independence condition in the theory of social choice , 1973 .

[38]  A. Sen,et al.  The Welfare Basis of Real Income Comparisons , 1979 .

[39]  Miguel A. Ballester,et al.  Variable population egalitarian ethics and the critical-level: A note , 2000 .

[40]  Olivier Dupriez,et al.  Purchasing Power Parity Exchange Rates for the Global Poor , 2011 .

[41]  E. Maskin Nash Equilibrium and Welfare Optimality , 1999 .

[42]  D. Parfit Equality or Priority , 1991 .

[43]  Patrick Suppes,et al.  Some formal models of grading principles , 1966, Synthese.

[44]  Herbert E. Scarf,et al.  A LIMIT THEOREM ON THE CORE OF AN ECONOMY , 1963, Classics in Game Theory.

[45]  B. Frey,et al.  What Can Economists Learn from Happiness Research? , 2001, SSRN Electronic Journal.

[46]  George Loewenstein,et al.  Hedonic adaptation and the role of decision and experience utility in public policy , 2008 .

[47]  Yves Sprumont,et al.  Fair Production and Allocation of an Excludable Nonrival Good , 2004 .

[48]  M. Golosov,et al.  Efficiency with Endogenous Population Growth ∗ , 2006 .

[49]  Louis Gevers Walrasian social choice: some simple axiomatic approaches , 1986 .

[50]  A. Atkinson On the measurement of inequality , 1970 .

[51]  Arthur Cecil Pigou,et al.  Wealth and Welfare. , 1913 .

[52]  Kotaro Suzumura,et al.  Introduction, Handbook of Social Choice and Welfare, Edited by Kenneth Arrow, Amartya Sen and Kotaro Suzumura, Amsterdam: Elsevier/North-Holland , 2001 .

[53]  William Thomson,et al.  Axiomatic Analysis of Resource Allocation Problems , 1997 .

[54]  K. Taira Proof of Theorem 1.3 , 2004 .

[55]  G. Becker,et al.  The Quantity and Quality of Life and the Evolution of World Inequality , 2003, The American economic review.

[56]  P. Samuelson Complementarity-An Essay on the 40th Anniversary of the Hicks-Allen Revolution in Demand Theory , 1974 .

[57]  R. Layard Happiness: Lessons from a New Science , 2005 .

[58]  R. Varga,et al.  Proof of Theorem 4 , 1983 .

[59]  J. Stiglitz,et al.  Report by the commission on the measurement of economic performance and social progress , 2011 .

[60]  Marc Fleurbaey,et al.  Beyond GDP: The Quest for a Measure of Social Welfare , 2009 .

[61]  K. Arrow,et al.  Social Choice and Individual Values , 1951 .

[62]  A. Sen,et al.  The Welfare Basis of Real Income Comparisons: A Reply , 1980 .

[63]  A. Sen,et al.  Real National Income , 1976 .

[64]  P. Pattanaik,et al.  Minimal relativism, dominance, and standard of living comparisons based on functionings , 2006 .

[65]  W. Schermerhorn Report of commission I , 1965 .

[66]  Ingvild Almås International Income Inequality: Measuring PPP Bias by Estimating Engel Curves for Food , 2007, SSRN Electronic Journal.

[67]  Emmanuel Saez,et al.  Optimal Labor Income Taxation , 2012 .

[68]  Fabiola Riccardini,et al.  How's life? : measuring well-being , 2011 .