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The Markov consumption problem

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  • Sattinger, Michael

Abstract

The paper provides a new model of consumption behavior under uncertainty as the solution to a continuous-time dynamic control problem in which an individual moves between employment and unemployment according to a Markov process. Behavior at low asset levels and at break-even points is analyzed. An iterative procedure is developed to derive numerical solutions. The solution takes the form of two curves relating consumption to assets, one for each state of employment.

Suggested Citation

  • Sattinger, Michael, 2011. "The Markov consumption problem," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 409-416.
    • Handle: RePEc:eee:mateco:v:47:y:2011:i:4:p:409-416
    DOI: 10.1016/j.jmateco.2011.04.001
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