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A Large Deviation Approach to the Measurement of Mobility

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Author Info
Robert Aebi
Klaus Neusser
Peter Steiner

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Abstract

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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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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Related research
Keywords: mobility index large deviations relative entropy

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Find related papers by JEL classification:
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models
J62 - Labor and Demographic Economics - - Mobility, Unemployment, and Vacancies - - - Job, Occupational and Intergenerational Mobility; Promotion

References listed on IDEAS
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  1. 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. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
    Other versions:
  3. 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. [Downloadable!]
    Other versions:
  4. Gottschalk, Peter & Spolaore, Enricco, 2002. "On the Evaluation of Economic Mobility," Review of Economic Studies, Blackwell Publishing, vol. 69(1), pages 191-208, January.
    Other versions:
  5. Chakravarty, Satya R., 1995. "A note on the measurement of mobility," Economics Letters, Elsevier, vol. 48(1), pages 33-36, April. [Downloadable!] (restricted)
  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. [Downloadable!] (restricted)
  7. Robert Aebi & Klaus Neusser & Peter Steiner, 2005. "A Large Deviation Approach to the Measurement of Mobility," Diskussionsschriften dp0518, Universitaet Bern, Departement Volkswirtschaft. [Downloadable!]
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  8. Fields, Gary S. & Ok, Efe A., 1996. "The Measurement of Income Mobility: An Introduction to the Literature," Working Papers 96-05, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
  9. 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. [Downloadable!] (restricted)
  10. Dardanoni Valentino, 1993. "Measuring Social Mobility," Journal of Economic Theory, Elsevier, vol. 61(2), pages 372-394, December. [Downloadable!] (restricted)
  11. 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. [Downloadable!] (restricted)
  12. Tapan Mitra & Efe A. Ok, 1998. "The measurement of income mobility: A partial ordering approach," Economic Theory, Springer, vol. 12(1), pages 77-102. [Downloadable!] (restricted)
  13. Shorrocks, A F, 1978. "The Measurement of Mobility," Econometrica, Econometric Society, vol. 46(5), pages 1013-24, September. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Robert Aebi & Klaus Neusser & Peter Steiner, 2004. "Equilibrium Mobility," Diskussionsschriften dp0408, Universitaet Bern, Departement Volkswirtschaft. [Downloadable!]
  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. 127(II), pages 195-222, June. [Downloadable!]
    Other versions:
  3. Christopher Spencer, 2005. "Consensus Formation in Monetary Policy Committees," Department of Economics Discussion Papers 1505, Department of Economics, University of Surrey. [Downloadable!]
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