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Risk Sharing, Inequality and Fertility

  • Larry Jones

    (Univeristy of Minnesota)

  • Ali Shourideh

    (University of Minnesota)

  • Roozbeh Hosseini

    (Arizona State Univeristy)

We use an extended Barro-Becker model of endogenous fertility, in which parents are heterogeneous in their labor productivity, to study the efficient degree of consumption inequality in the long run. In our environment a utilitarian planner allows for consumption inequality even when labor productivity is public information. We show that adding private information does not alter this result. We also show that the informationally constrained optimal insurance contract has a resetting property -- whenever a family line experiences the highest shock, the continuation utility of each child is reset to a (high) level that is independent of history. This implies that there is a non-trivial, stationary distribution over continuation utilities and there is no mass at misery. The novelty of our approach is that the no-immiseration result is achieved without requiring that the objectives of the planner and the private agents disagree. Because there is no discrepancy between planner and private agents' objectives, the policy implications for implementation of the efficient allocation differ from previous results in the literature. Two examples of these are: 1) estate taxes are positive and 2) there are positive taxes on family size.

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Paper provided by Society for Economic Dynamics in its series 2009 Meeting Papers with number 153.

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Date of creation: 2009
Date of revision:
Handle: RePEc:red:sed009:153
Contact details of provider: Postal: Society for Economic Dynamics Marina Azzimonti Department of Economics Stonybrook University 10 Nicolls Road Stonybrook NY 11790 USA
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  1. Larry E. Jones & Alice Schoonbroodt & Michèle Tertilt, 2010. "Fertility Theories: Can They Explain the Negative Fertility-Income Relationship?," NBER Chapters, in: Demography and the Economy, pages 43-100 National Bureau of Economic Research, Inc.
  2. Doepke, Matthias & Townsend, Robert M., 2006. "Dynamic mechanism design with hidden income and hidden actions," Journal of Economic Theory, Elsevier, vol. 126(1), pages 235-285, January.
  3. Rogerson, William P, 1985. "Repeated Moral Hazard," Econometrica, Econometric Society, vol. 53(1), pages 69-76, January.
  4. Aubhik Khan & B. Ravikumar, 1999. "Growth and risk-sharing with private information," Working Papers 99-12, Federal Reserve Bank of Philadelphia.
  5. Mikhail Golosov & Narayana Kocherlakota & Aleh Tsyvinski, 2002. "Optimal Indirect and Capital Taxation," NajEcon Working Paper Reviews 391749000000000449,
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  8. Stefania Albanesi & Christopher Sleet, 2004. "Dynamic optimal taxation with private information," Discussion Paper / Institute for Empirical Macroeconomics 140, Federal Reserve Bank of Minneapolis.
  9. Daron Acemoglu & Michael Golosov & Aleh Tsyvinski, 2008. "Political Economy of Mechanisms," Econometrica, Econometric Society, vol. 76(3), pages 619-641, 05.
  10. Phelan, Christopher, 1998. "On the Long Run Implications of Repeated Moral Hazard," Journal of Economic Theory, Elsevier, vol. 79(2), pages 174-191, April.
  11. Larry E. Jones & Ali Shourideh & Roozbeh Hosseini, 2010. "Risk Sharing, Inequality, and Fertility," 2010 Meeting Papers 948, Society for Economic Dynamics.
  12. Barro, Robert J, 1974. "Are Government Bonds Net Wealth?," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1095-1117, Nov.-Dec..
  13. Christopher Sleet & Sevin Yeltekin, 2006. "Credibility and endogenous societal discounting," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(3), pages 410-437, July.
  14. Mikhail Golosov & Aleh Tsyvinski, 2006. "Designing Optimal Disability Insurance: A Case for Asset Testing," Journal of Political Economy, University of Chicago Press, vol. 114(2), pages 257-279, April.
  15. Mikhail Golosov & Aleh Tsyvinski, 2006. "Optimal Taxation with Endogenous Insurance Markets," Levine's Bibliography 784828000000000445, UCLA Department of Economics.
  16. Gary S. Becker & Robert J. Barro, . "A Reformulation of the Economic Theory of Fertility," University of Chicago - Population Research Center 85-11, Chicago - Population Research Center.
  17. Fernando Alvarez, 1999. "Social Mobility: The Barro-Becker Children Meet the Laitner-Loury Dynasties," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 2(1), pages 65-103, January.
  18. Mirrlees, James A, 1971. "An Exploration in the Theory of Optimum Income Taxation," Review of Economic Studies, Wiley Blackwell, vol. 38(114), pages 175-208, April.
  19. Werning, Ivan & Farhi, Emmanuel, 2007. "Inequality and Social Discounting," Scholarly Articles 3451391, Harvard University Department of Economics.
  20. Thomas, Jonathan & Worrall, Tim, 1990. "Income fluctuation and asymmetric information: An example of a repeated principal-agent problem," Journal of Economic Theory, Elsevier, vol. 51(2), pages 367-390, August.
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