One often heard counter to the concern about rising income and wealth inequality is that it is wrong to focus on inequality of outcomes in a “snapshot”. Intergenerational mobility and “equality of opportunity”, so the argument goes, is what matters for normative evaluation. In response to this counter, we ask what pattern of intergenerational mobility leads to lower inequality not between individuals but between the dynasties to which they belong? And how does this pattern in turn relate to commonly held views on what constitutes equality of opportunity? We revive and revisit here our earlier contributions which were in the form of working papers (Kanbur and Stiglitz 1982, 1986) in order to engage with the current debate. Focusing on bistochastic transition matrices in order to hold constant the steady state snapshot income distribution, we develop an explicit partial ordering which ranks matrices on the criterion of inequality between infinitely lived dynasties. A general interpretation of our result is that when comparing two transition matrices, if one matrix is “further away” from the identity matrix then it will lead to lower dynastic inequality. More specifically, the result presents a computational procedure to check if one matrix dominates another on dynastic inequality. We can also assess “equality of opportunity”, defined as identical prospects irrespective of starting position. We find that this is not necessarily the mobility pattern which minimizes dynastic inequality.
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Aaberge, R., Mogstad, M., Peragine, V.: Measuring long-term inequality of opportunity. J. Public Econ. 95(3), 193–204 (2011)
Amiel, Y., Bernasconi, M., Cowell, F., Dardanoni, V.: Do we value mobility? London School of Economics STCERD Discussion Paper, Number PEP 17, http://sticerd.lse.ac.uk/dps/pep/pep17.pdf (2013)
Arneson, R.: Four conceptions of equal opportunity, http://bfi.uchicago.edu/sites/default/files/research/Arneson.pdf (2014)
Atkinson, A.B.: On intergenerational income mobility in Britain. J. Post Keynesian Econ. 3, 194–218 (1981a)
Atkinson, A.B.: The measurement of economic mobility. In: Eigjelshoven, P.J., van Gemerden, L.J. (eds.) Inkomensverdeling en openbare financien Essays in Honour of Jan Pen. Also published in Social Justice and Public Policy (ed. A.B. Atkinson), Wheatsheaf Books Ltd, 1983, pp. 61–75., pp 9–24. Het Spectrum, Utrecht (1981b)
Atkinson, A.B., Bourguignon, F.: The comparison of multi-dimensional distributions of economic status. Rev. Econ. Stud. 49, 183–201 (1982). Also published in Social Justice and Public Policy (ed.A.B. Atkinson), Wheatsheaf Books Ltd, 1983, pp. 37–59.
Atkinson, A.B., Maynard, A.K., Trinder, C.G.: Parents and Children: Incomes in Two Generations. Heinemann Educational Books, London (1983)
Chakravarty, S.R., Dutta, B., Weymark, J.A.: Ethical indices of income mobility. Soc. Choice Welf. 2, 1–21 (1985)
Corak, M.: Income inequality, equality of opportunity and intergenerational mobility. J. Econ. Perspect. 27(3, Summer), 79–102 (2013)
Dardanoni, V.: Measuring social mobility. J. Econ. Theory 61, 372–394 (1993)
Dardanoni, V., Fiorini, M., Forcina, A.: Stochastic monotonicity in intergenerational mobility tables. J. Appl. Econom. 27(1), 85–107 (2010)
Dasgupta, P., Sen, A.K., Starrett, D.: Notes on the measurement of inequality. J. Econ. Theory 6(2), 180–187 (1973)
Dworkin, R.: What is equality? Part 2: equality of resources. Philos. Public Affairs 10(4), 283–345 (1981)
Fields, G.S., Ok, E.A.: The measurement of income mobility: an introduction to the literature. In: Silber, J. (ed.) Handbook on Income Inequality Measurement, pp 557–596. Kluwer Academic Publishers, Norwell (1999)
Friedman, M.: Capitalism and Freedom. University of Chicago Press (1962)
Goldthorpe, J.H.: Social Mobility and Class Structure in Modern Britain. Oxford University Press, London (1980)
Kanbur, R., Mukerji, V.: Probabilistic equity and equality of opportunity in a stochastic framework. Arthaniti XX, 1–9 (1980)
Kanbur, R., Stiglitz, J.E.: Mobility and inequality: a utilitarian analysis. Economic Theory Discussion Paper No. 57, Department of Applied Economics, University of Cambridge (1982)
Kanbur, R., Stiglitz, J.E.: Intergenerational mobility and dynastic inequality. Woodrow Wilson School Discussion Paper in Economics, Number 111, Princeton University (1986)
Kanbur, R., Stromberg, J.O.: Income transitions and income distribution dominance. J. Econ. Theory 45(2), 408–417 (1988)
Kanbur, R., Wagstaff, A.: How useful is inequality of opportunity as a policy construct? In: K. Basu and J. E. Stiglitz (eds.) Chap. 4 in Inequality and Growth: Patterns and Policy, Volume I: Concepts and Analysis. Palgrave Macmillan (2016)
Markandya, A.: The welfare measurement of changes in economic mobility. Economica 51, 457–71 (1984)
Piketty, T.: Capital in the Twenty-First Century. Harvard University Press (2014)
Roemer, J.E.: Equality of Opportunity. Harvard University Press (1998)
Roemer, J.E.: Equal opportunity and intergenerational mobility: going beyond intergenerational income transition matrices. In: Corak, M. (ed.) Chap. 3 in Generational Income Mobility in North America and Europe. Cambridge University Press (2004)
Shorrocks, A.F.: The measurement of mobility. Econometrica 46(5), 1013–1024 (1978)
Stiglitz, J.E.: The Price of Inequality: How Today’s Divided Society Endangers Our Future. W.W. Norton and Company (2013)
Stokey, N.: Shirtsleeves to shirtsleeves: the economics of social mobility. In: Schwartz, N. L., Jacobs, D., Kalai, E. (eds.) Frontiers of Research in Economic Theory: the Nancy L. Schwartz Memorial Lectures 1983–1997, pp 210–241. Econometric Society Monographs, Cambridge (1998)
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Kanbur, R., Stiglitz, J.E. Dynastic inequality, mobility and equality of opportunity. J Econ Inequal 14, 419–434 (2016). https://doi.org/10.1007/s10888-016-9328-4
- Dynastic inequality
- Equality of opportunity