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Public Sector Rationing and Private Sector Selection

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Author Info

  • Simona Grassi

    ()
    (European University Institute, Max Weber Programme)

  • Ching-to Albert Ma

    ()
    (Department of Economics, Boston University)

Abstract

We study the interaction between a public sector and a private sector in the provision of a private good. Under a limited budget, the public supplier uses a rationing policy. A private ?rm may supply the good to those consumers who are rationed by the public system. Consumers have di¤erent amounts of wealth, and costs of providing the good to them vary. We consider two information regimes: First, the public supplier observes only wealth information; second, the public supplier observes both wealth and cost information. The public supplier chooses a rationing policy based on its information; simultaneously, the private firm, observing only cost but not wealth information, chooses a pricing policy. In the first information regime, there is a continuum of equilibria; in each, rich consumers are rationed, and the private firm sells to these rationed consumers at high prices. In the second regime, there is a unique equilibrium. The public supplier allocates the good to consumers according to a cost-e¤ectiveness rule. In the equilibrium, rationed consumers have high costs relative to the bene?t, and the rationing rule is the same as if the private market were inactive.

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Bibliographic Info

Paper provided by Boston University - Department of Economics in its series Boston University - Department of Economics - Working Papers Series with number wp2009-a.

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Length: 37
Date of creation: Jan 2009
Date of revision:
Handle: RePEc:bos:wpaper:wp2009-a

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References

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  1. Brekke, Kurt Richard & Siciliani, Luigi & Straume, Odd Rune, 2007. "Competition and Waiting Times in Hospital Markets," CEPR Discussion Papers 6285, C.E.P.R. Discussion Papers.
  2. Besley, Timothy & Coate, Stephen, 1991. "Public Provision of Private Goods and the Redistribution of Income," American Economic Review, American Economic Association, vol. 81(4), pages 979-84, September.
  3. Iversen, Tor, 1997. "The effect of a private sector on the waiting time in a national health service," Journal of Health Economics, Elsevier, vol. 16(4), pages 381-396, August.
  4. Ching-to Albert MA & Simona Grassi, 2010. "Optimal public rationing and price response," Boston University - Department of Economics - Working Papers Series WP2010-024, Boston University - Department of Economics.
  5. Peter Norman, 2004. "Efficient Mechanisms for Public Goods with Use Exclusions," Review of Economic Studies, Wiley Blackwell, vol. 71(4), pages 1163-1188, October.
  6. Blackorby, Charles & Donaldson, David, 1988. "Cash versus Kind, Self-selection, and Efficient Transfers," American Economic Review, American Economic Association, vol. 78(4), pages 691-700, September.
  7. Simona Grassi & Ching-to Albert Ma, 2008. "Rationing Poor Consumers to Reduce Prices," Boston University - Department of Economics - Working Papers Series wp2008-015, Boston University - Department of Economics.
  8. Hoel, Michael & Saether, Erik Magnus, 2003. "Public health care with waiting time: the role of supplementary private health care," Journal of Health Economics, Elsevier, vol. 22(4), pages 599-616, July.
  9. Dennis Epple & Richard Romano, 2008. "Educational Vouchers And Cream Skimming," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 49(4), pages 1395-1435, November.
  10. Bernheim, B Douglas & Whinston, Michael D, 1986. "Common Agency," Econometrica, Econometric Society, vol. 54(4), pages 923-42, July.
  11. Hoel, Michael, 2007. "What should (public) health insurance cover?," Journal of Health Economics, Elsevier, vol. 26(2), pages 251-262, March.
  12. Pita Barros, Pedro Luis, 2000. "Waiting Lists and Patient Selection," CEPR Discussion Papers 2519, C.E.P.R. Discussion Papers.
  13. Lindsay, Cotton M & Feigenbaum, Bernard, 1984. "Rationing by Waiting Lists," American Economic Review, American Economic Association, vol. 74(3), pages 404-17, June.
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Cited by:
  1. Grassi, Simona & Ma, Ching-to Albert, 2011. "Optimal public rationing and price response," Journal of Health Economics, Elsevier, vol. 30(6), pages 1197-1206.
  2. Rosella Levaggi & Marcello Montefiori, 2013. "Patient selection in a mixed oligopoly market for health care: the role of the soft budget constraint," International Review of Economics, Springer, vol. 60(1), pages 49-70, March.
  3. CANTA, Chiara, 2011. "Efficiency, access and the mixed delivery of health care services," CORE Discussion Papers 2011046, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. Simona Grassi & Ching-to Albert Ma, 2008. "Rationing Poor Consumers to Reduce Prices," Boston University - Department of Economics - Working Papers Series wp2008-015, Boston University - Department of Economics.
  5. Simona Grassi & Ching-to Ma, 2010. "Subsidy design: wealth versus benefits," Journal of Economics, Springer, vol. 101(1), pages 49-72, September.

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