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Risk Sharing, Inequality and Fertility

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  • Larry Jones

    (Univeristy of Minnesota)

  • Ali Shourideh

    (University of Minnesota)

  • Roozbeh Hosseini

    (Arizona State Univeristy)

Abstract

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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Bibliographic Info

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

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Date of creation: 2009
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Handle: RePEc:red:sed009:153

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  1. Mikhail Golosov & Aleh Tsyvinski, 2006. "Optimal Taxation with Endogenous Insurance Markets," Levine's Bibliography 784828000000000445, UCLA Department of Economics.
  2. 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.
  3. Mikhail Golosov & Narayana Kocherlakota & Aleh Tsyvinski, 2003. "Optimal Indirect and Capital Taxation," Review of Economic Studies, Wiley Blackwell, vol. 70(3), pages 569-587, 07.
  4. Christopher Phelan & Robert M Townsend, 2010. "Computing Multi-Period, Information Constrained Optima," Levine's Working Paper Archive 117, David K. Levine.
  5. Narayana R. Kocherlakota, 2005. "Zero Expected Wealth Taxes: A Mirrlees Approach to Dynamic Optimal Taxation," Econometrica, Econometric Society, vol. 73(5), pages 1587-1621, 09.
  6. Roozbeh Hosseini & Larry E. Jones & Ali Shourideh, 2009. "Risk Sharing, Inequality and Fertility," NBER Working Papers 15111, National Bureau of Economic Research, Inc.
  7. Daron Acemoglu & Michael Golosov & Aleh Tsyvinski, 2007. "Political Economy of Mechanisms," Working Papers CAS_RN_2007_2, Laboratory for Macroeconomic Analysis.
  8. Doepke, Matthias & Townsend, Robert M, 2004. "Dynamic Mechanism Design with Hidden Income and Hidden Auctions," CEPR Discussion Papers 4455, C.E.P.R. Discussion Papers.
  9. Larry E. Jones & Alice Schoonbroodt & Michèle Tertilt, 2008. "Fertility Theories: Can They Explain the Negative Fertility-Income Relationship?," NBER Working Papers 14266, National Bureau of Economic Research, Inc.
  10. Aubhik Khan & B. Ravikumar, 1998. "Growth and Risk-Sharing with Private Information," Macroeconomics 9802003, EconWPA.
  11. Stefania Albanesi & Christopher Sleet, 2004. "Dynamic optimal taxation with private information," Discussion Paper / Institute for Empirical Macroeconomics 140, Federal Reserve Bank of Minneapolis.
  12. 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.
  13. Becker, Gary S & Barro, Robert J, 1988. "A Reformulation of the Economic Theory of Fertility," The Quarterly Journal of Economics, MIT Press, vol. 103(1), pages 1-25, February.
  14. Werning, Ivan & Farhi, Emmanuel, 2007. "Inequality and Social Discounting," Scholarly Articles 3451391, Harvard University Department of Economics.
  15. Rogerson, William P, 1985. "Repeated Moral Hazard," Econometrica, Econometric Society, vol. 53(1), pages 69-76, January.
  16. 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.
  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. 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.
  19. Phelan, Christopher, 1998. "On the Long Run Implications of Repeated Moral Hazard," Journal of Economic Theory, Elsevier, vol. 79(2), pages 174-191, April.
  20. Barro, Robert J., 1974. "Are Government Bonds Net Wealth?," Scholarly Articles 3451399, Harvard University Department of Economics.
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Cited by:
  1. Alice Schoonbroodt & Michele Tertilt, 2010. "Who Owns Children and Does It Matter?," Working Papers id:2360, eSocialSciences.
  2. Roozbeh Hosseini & Larry E. Jones & Ali Shourideh, 2009. "Risk sharing, inequality, and fertility," Working Papers 674, Federal Reserve Bank of Minneapolis.

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