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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.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 47 (2011)
Issue (Month): 4-5 ()
Pages: 409-416

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Handle: RePEc:eee:mateco:v:47:y:2011:i:4:p:409-416

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Web page: http://www.elsevier.com/locate/jmateco

Related research

Keywords: Consumption; Unemployment; Ad hoc debt limit; Optimal control; Markov process;

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  1. Eytan Sheshinski, 1986. "A Simple Model of Optimum Life Cycle Consumption With Earnings Uncertainty," Working papers 409, Massachusetts Institute of Technology (MIT), Department of Economics.
  2. Sadoulet, Elisabeth & Fukui, Seiichi & Janvry, Alan de, 1994. "Efficient share tenancy contracts under risk: The case of two rice-growing villages in Thailand," Journal of Development Economics, Elsevier, vol. 45(2), pages 225-243, December.
  3. Rosenzweig, Mark R & Wolpin, Kenneth I, 1993. "Credit Market Constraints, Consumption Smoothing, and the Accumulation of Durable Production Assets in Low-Income Countries: Investment in Bullocks in India," Journal of Political Economy, University of Chicago Press, vol. 101(2), pages 223-44, April.
  4. Christopher D. Carroll & Miles S. Kimball, 1995. "On the Concavity of the Consumption Function," Macroeconomics 9503003, EconWPA.
  5. S. Rao Aiyagari, 1993. "Uninsured idiosyncratic risk and aggregate saving," Working Papers 502, Federal Reserve Bank of Minneapolis.
  6. Glomm, Gerhard & Palumbo, Michael G., 1993. "Optimal intertemporal consumption decisions under the threat of starvation," Journal of Development Economics, Elsevier, vol. 42(2), pages 271-291, December.
  7. Pierre-Olivier Gourinchas & Jonathan A. Parker, 2002. "Consumption Over the Life Cycle," Econometrica, Econometric Society, vol. 70(1), pages 47-89, January.
  8. Schechtman, Jack, 1976. "An income fluctuation problem," Journal of Economic Theory, Elsevier, vol. 12(2), pages 218-241, April.
  9. Karen E. Dynan & Jonathan Skinner & Stephen P. Zeldes, 2004. "Do the Rich Save More?," Journal of Political Economy, University of Chicago Press, vol. 112(2), pages 397-444, April.
  10. Cutler, David & Lleras-Muney, Adriana & Deaton, Angus, 2006. "The Determinants of Mortality," Scholarly Articles 2640588, Harvard University Department of Economics.
  11. Satyajit Chatterjee & B. Ravikumar & B. Ravikumar, 1997. "Minimum consumptions requirements: theoretical and quantitative implications for growth and distribution," Working Papers 97-15, Federal Reserve Bank of Philadelphia.
  12. Mark Huggett, 2004. "Precautionary Wealth Accumulation," Review of Economic Studies, Oxford University Press, vol. 71(3), pages 769-781.
  13. Shankha Chakraborty & Mausumi Das, 2003. "Mortality, Human Capital and Persistent Inequality," University of Oregon Economics Department Working Papers 2003-11, University of Oregon Economics Department.
  14. Hall, Robert E, 1978. "Stochastic Implications of the Life Cycle-Permanent Income Hypothesis: Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 86(6), pages 971-87, December.
  15. van Kooten, G Cornelis & Young, Douglas L & Krautkraemer, Jeffrey A, 1997. "A Safety-First Approach to Dynamic Cropping Decisions," European Review of Agricultural Economics, Foundation for the European Review of Agricultural Economics, vol. 24(1), pages 47-63.
  16. Christopher D. Carroll, 2001. "A Theory of the Consumption Function, with and without Liquidity Constraints," Journal of Economic Perspectives, American Economic Association, vol. 15(3), pages 23-45, Summer.
  17. Gersovitz, Mark, 1983. "Savings and Nutrition at Low Incomes," Journal of Political Economy, University of Chicago Press, vol. 91(5), pages 841-55, October.
  18. Miles S. Kimball & N. Gregory Mankiw, 1988. "Precautionary Saving and the Timing of Taxes," NBER Working Papers 2680, National Bureau of Economic Research, Inc.
  19. Abhijit V. Banerjee & Andrew F. Newman, 1990. "Occupational Choice and the Process of Development," Discussion Papers 911, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  20. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
  21. Oded Galor & Joseph Zeira, 2013. "Income Distribution and Macroeconomics," Working Papers 2013-12, Brown University, Department of Economics.
  22. Stephen Zeldes, . "Optimal Consumption with Stochastic Income: Deviations from Certainty Equivalence," Rodney L. White Center for Financial Research Working Papers 20-86, Wharton School Rodney L. White Center for Financial Research.
  23. Lars Ljungqvist & Thomas J. Sargent, 2004. "Recursive Macroeconomic Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 026212274x, December.
  24. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, December.
  25. Flemming, J. S., 1978. "Aspects of optimal unemployment insurance : Search, leisure, savings and capital market imperfections," Journal of Public Economics, Elsevier, vol. 10(3), pages 403-425, December.
  26. Pyle, David H & Turnovsky, Stephen J, 1970. "Safety-First and Expected Utility Maximization in Mean-Standard Deviation Portfolio Analysis," The Review of Economics and Statistics, MIT Press, vol. 52(1), pages 75-81, February.
  27. Caballero, Ricardo J., 1990. "Consumption puzzles and precautionary savings," Journal of Monetary Economics, Elsevier, vol. 25(1), pages 113-136, January.
  28. Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181.
  29. Angus Deaton, 1989. "Saving and Liquidity Constraints," NBER Working Papers 3196, National Bureau of Economic Research, Inc.
  30. Rothschild, Michael & Stiglitz, Joseph E., 1971. "Increasing risk II: Its economic consequences," Journal of Economic Theory, Elsevier, vol. 3(1), pages 66-84, March.
  31. Hyeng Keun Koo, 1998. "Consumption and Portfolio Selection with Labor Income: A Continuous Time Approach," Mathematical Finance, Wiley Blackwell, vol. 8(1), pages 49-65.
  32. Fogel, Robert William, 1993. "New findings on secular trends in nutrition and mortality: Some implications for population theory," Handbook of Population and Family Economics, in: M. R. Rosenzweig & Stark, O. (ed.), Handbook of Population and Family Economics, edition 1, volume 1, chapter 9, pages 433-481 Elsevier.
  33. Miles S. Kimball, 1989. "Precautionary Saving in the Small and in the Large," NBER Working Papers 2848, National Bureau of Economic Research, Inc.
  34. Gary D. Thompson & Paul N. Wilson, 1994. "Ejido Reforms in Mexico: Conceptual Issues and Potential Outcomes," Land Economics, University of Wisconsin Press, vol. 70(4), pages 448-465.
  35. Carroll, Christopher D. & Toche, Patrick, 2009. "A tractable model of buffer stock saving," CFS Working Paper Series 2009/14, Center for Financial Studies (CFS).
  36. Toche, Patrick, 2005. "A tractable model of precautionary saving in continuous time," Economics Letters, Elsevier, vol. 87(2), pages 267-272, May.
  37. Carroll, Christopher D, 1997. "Buffer-Stock Saving and the Life Cycle/Permanent Income Hypothesis," The Quarterly Journal of Economics, MIT Press, vol. 112(1), pages 1-55, February.
  38. Ray, Debraj & Streufert, Peter A, 1993. "Dynamic Equilibria with Unemployment Due to Undernourishment," Economic Theory, Springer, vol. 3(1), pages 61-85, January.
  39. Deaton, Angus, 1992. "Understanding Consumption," OUP Catalogue, Oxford University Press, number 9780198288244, September.
  40. Huggett, Mark, 1993. "The risk-free rate in heterogeneous-agent incomplete-insurance economies," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 953-969.
  41. Benveniste, L M & Scheinkman, J A, 1979. "On the Differentiability of the Value Function in Dynamic Models of Economics," Econometrica, Econometric Society, vol. 47(3), pages 727-32, May.
  42. Piketty, Thomas, 1997. "The Dynamics of the Wealth Distribution and the Interest Rate with Credit Rationing," Review of Economic Studies, Wiley Blackwell, vol. 64(2), pages 173-89, April.
  43. Hey, John D, 1984. "Optimal Consumption When Income Follows a Markov Process," Bulletin of Economic Research, Wiley Blackwell, vol. 36(2), pages 109-18, November.
  44. Miller, Bruce L, 1974. "Optimal Consumption with a Stochastic Income Stream," Econometrica, Econometric Society, vol. 42(2), pages 253-66, March.
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