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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

Paper provided by Universitaet Bern, Departement Volkswirtschaft in its series Diskussionsschriften with number dp0518.

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Date of creation: Dec 2005
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Handle: RePEc:ube:dpvwib:dp0518

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Keywords: mobility index; large deviations; relative entropy;

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References

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  1. Chakravarty, Satya R., 1995. "A note on the measurement of mobility," Economics Letters, Elsevier, vol. 48(1), pages 33-36, April.
  2. 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.
  3. Dardanoni Valentino, 1993. "Measuring Social Mobility," Journal of Economic Theory, Elsevier, vol. 61(2), pages 372-394, December.
  4. Peter Gottschalk & Enrico Spolaore, 1998. "On the Evaluation of Economic Mobility," Boston College Working Papers in Economics 407., Boston College Department of Economics.
  5. 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.
  6. Shorrocks, A F, 1978. "The Measurement of Mobility," Econometrica, Econometric Society, vol. 46(5), pages 1013-24, September.
  7. 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.
  8. 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.
  9. Roland Bénabou & Efe A. Ok, 2000. "Mobility as Progressivity: Ranking Income Processes According to Equality of Opportunity," Working Papers 150, Princeton University, Woodrow Wilson School of Public and International Affairs, Discussion Papers in Economics..
  10. Tapan Mitra & Efe A. Ok, 1998. "The measurement of income mobility: A partial ordering approach," Economic Theory, Springer, vol. 12(1), pages 77-102.
  11. 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.
  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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Cited by:
  1. Robert Aebi & Klaus Neusser & Peter Steiner, 2002. "A Large Deviation Approach to the Measurement of Mobility," Diskussionsschriften dp0220, Universitaet Bern, Departement Volkswirtschaft.
  2. Robert Aebi & Klaus Neusser & Peter Steiner, 2004. "Equilibrium Mobility," Diskussionsschriften dp0408, Universitaet Bern, Departement Volkswirtschaft.
  3. Christopher Spencer, 2005. "Consensus Formation in Monetary Policy Committees," School of Economics Discussion Papers 1505, School of Economics, University of Surrey.
  4. 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.

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