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A Large Deviation Approach to the Measurement of Mobility

  • Robert Aebi
  • Klaus Neusser
  • Peter Steiner

We propose an approach to measure the mobility immanent in regular Markov processes. For this purpose, we distinguish between mobility in equilibrium and mobility associated with convergence towards equilibrium. The former aspect is measured as the expectation of a functional, defined on the Cartesian square product of the state space, with respect to the invariant distribution. Based on large deviations techniques, we show how the two aspects of mobility are related and how the second one can be characterized by a certain relative entropy. Finally, we show that some prominent mobility indices can be considered as special cases.

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Article provided by Swiss Society of Economics and Statistics (SSES) in its journal Swiss Journal of Economics and Statistics.

Volume (Year): 142 (2006)
Issue (Month): II (June)
Pages: 195-222

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Handle: RePEc:ses:arsjes:2006-ii-1
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  1. Javier Alvarez & Martin Browning & Mette Ejrnæs, 2001. "Modelling Income Processes with lots of heterogeneity," CAM Working Papers 2002-01, University of Copenhagen. Department of Economics. Centre for Applied Microeconometrics.
  2. Geweke, John & Marshall, Robert C & Zarkin, Gary A, 1986. "Mobility Indices in Continuous Time Markov Chains," Econometrica, Econometric Society, vol. 54(6), pages 1407-23, November.
  3. Dardanoni Valentino, 1993. "Measuring Social Mobility," Journal of Economic Theory, Elsevier, vol. 61(2), pages 372-394, December.
  4. Robert Aebi & Klaus Neusser & Peter Steiner, 2005. "A Large Deviation Approach to the Measurement of Mobility," Diskussionsschriften dp0518, Universitaet Bern, Departement Volkswirtschaft.
  5. Peter T. Gottschalk & Enrico Spolaore, 2000. "On the Evaluation of Economic Mobility," JCPR Working Papers 185, Northwestern University/University of Chicago Joint Center for Poverty Research.
  6. Benabou, R. & Ok, E.A., 2000. "Mobility as Progressivity: Ranking Income Processes According to Equality of Opportunity," Papers 211, Princeton, Woodrow Wilson School - Public and International Affairs.
  7. Tapan Mitra & Efe A. Ok, 1998. "The measurement of income mobility: A partial ordering approach," Economic Theory, Springer, vol. 12(1), pages 77-102.
  8. Fields, Gary S. & Leary, Jesse B. & Ok, Efe A., 2002. "Stochastic dominance in mobility analysis," Economics Letters, Elsevier, vol. 75(3), pages 333-339, May.
  9. Shorrocks, A F, 1978. "The Measurement of Mobility," Econometrica, Econometric Society, vol. 46(5), pages 1013-24, September.
  10. Fields, Gary S. & Ok, Efe A., 1996. "The Meaning and Measurement of Income Mobility," Journal of Economic Theory, Elsevier, vol. 71(2), pages 349-377, November.
  11. Maasoumi, Esfandiar & Zandvakili, Sourushe, 1990. "Generalized entropy measures of mobility for different sexes and income levels," Journal of Econometrics, Elsevier, vol. 43(1-2), pages 121-133.
  12. Chakravarty, Satya R., 1995. "A note on the measurement of mobility," Economics Letters, Elsevier, vol. 48(1), pages 33-36, April.
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