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A Large Deviation Approach to the Measurement of Mobility

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  • Robert Aebi
  • Klaus Neusser
  • Peter Steiner

Abstract

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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Bibliographic Info

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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Keywords: mobility index; large deviations; relative entropy;

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References

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  1. Gottschalk, Peter & Spolaore, Enricco, 2002. "On the Evaluation of Economic Mobility," Review of Economic Studies, Wiley Blackwell, vol. 69(1), pages 191-208, January.
  2. Chakravarty, Satya R., 1995. "A note on the measurement of mobility," Economics Letters, Elsevier, vol. 48(1), pages 33-36, April.
  3. 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.
  4. Martin Browning & Mette Ejrn�s & Javier Alvarez, 2010. "Modelling Income Processes with Lots of Heterogeneity," Review of Economic Studies, Oxford University Press, vol. 77(4), pages 1353-1381.
  5. R. Bénabou & E. Ok, . "Mobility as Progressivity: Ranking Income Processes According to Equality of Opportunity," Princeton Economic Theory Papers 00f1, Economics Department, Princeton University.
  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. Shorrocks, A F, 1978. "The Measurement of Mobility," Econometrica, Econometric Society, vol. 46(5), pages 1013-24, September.
  8. Tapan Mitra & Efe A. Ok, 1998. "The measurement of income mobility: A partial ordering approach," Economic Theory, Springer, vol. 12(1), pages 77-102.
  9. 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.
  10. Robert Aebi & Klaus Neusser & Peter Steiner, 2002. "A Large Deviation Approach to the Measurement of Mobility," Diskussionsschriften dp0220, Universitaet Bern, Departement Volkswirtschaft.
  11. Dardanoni Valentino, 1993. "Measuring Social Mobility," Journal of Economic Theory, Elsevier, vol. 61(2), pages 372-394, December.
  12. 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.
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Citations

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Cited by:
  1. Robert Aebi & Klaus Neusser & Peter Steiner, 2004. "Equilibrium Mobility," Diskussionsschriften dp0408, Universitaet Bern, Departement Volkswirtschaft.
  2. Robert Aebi & Klaus Neusser & Peter Steiner, 2005. "A Large Deviation Approach to the Measurement of Mobility," Diskussionsschriften dp0518, Universitaet Bern, Departement Volkswirtschaft.
  3. Robert Aebi & Klaus Neusser & Peter Steiner, 2008. "Improving Models of Income Dynamics using Cross-Section-Information," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 144(II), pages 117-151, June.
  4. Christopher Spencer, 2005. "Consensus Formation in Monetary Policy Committees," School of Economics Discussion Papers 1505, School of Economics, University of Surrey.

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