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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 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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File URL: http://www.vwl.unibe.ch/papers/dp/dp0220.pdf
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Paper provided by Universitaet Bern, Departement Volkswirtschaft in its series Diskussionsschriften with number dp0220.

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Date of creation: Dec 2002
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Handle: RePEc:ube:dpvwib:dp0220
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  1. Peter Gottschalk & Enrico Spolaore, 2002. "On the Evaluation of Economic Mobility," Review of Economic Studies, Oxford University Press, vol. 69(1), pages 191-208.
  2. Robert Aebi & Klaus Neusser & Peter Steiner, 2006. "A Large Deviation Approach to the Measurement of Mobility," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 142(II), pages 195-222, June.
  3. Shorrocks, A F, 1978. "The Measurement of Mobility," Econometrica, Econometric Society, vol. 46(5), pages 1013-24, September.
  4. Tapan Mitra & Efe A. Ok, 1998. "The measurement of income mobility: A partial ordering approach," Economic Theory, Springer, vol. 12(1), pages 77-102.
  5. 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.
  6. 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.
  7. Roland Benabou & Efe A. Ok, 2001. "Mobility as Progressivity: Ranking Income Processes According to Equality of Opportunity," NBER Working Papers 8431, National Bureau of Economic Research, Inc.
  8. 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.
  9. Dardanoni Valentino, 1993. "Measuring Social Mobility," Journal of Economic Theory, Elsevier, vol. 61(2), pages 372-394, December.
  10. Javier Alvarez & Martin Browning & Mette Ejrnæs, 2002. "Modelling income processes with lots of heterogeneity," 10th International Conference on Panel Data, Berlin, July 5-6, 2002 D2-3, International Conferences on Panel Data.
  11. Chakravarty, Satya R., 1995. "A note on the measurement of mobility," Economics Letters, Elsevier, vol. 48(1), pages 33-36, April.
  12. 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.
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