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Competition and quality in regulated markets: a differential-game approach

  • Kurt R. Brekke
  • Roberto Cellini
  • Luigi Siciliani
  • Odd Rune Straume

We investigate the effect of competition on quality in regulated markets (e.g., health care, higher education, public utilities) taking a di¤erential game approach, in which quality is a stock variable. Using a Hotelling framework, we derive the open-loop solution (providers commit to an optimal investment plan at the initial period) and the feedback closed-loop solution (providers move investments in response to the dynamics of the states). If the marginal provision cost is constant, the open-loop and closed-loop solutions coincide, and the results are similar to the ones obtained by static models. If the marginal provision cost is increasing, investment and quality are lower in the closed-loop solution: in fact, quality drops to the minimum level in steady state, implying that quality competition is e¤ectively eliminated. In this case, static models tend to exaggerate the positive effect of competition on quality. Our results can explain the mixed empirical evidence on competition and quality for regulated markets.

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Paper provided by Department of Economics, University of York in its series Discussion Papers with number 08/05.

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Date of creation: Apr 2008
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Handle: RePEc:yor:yorken:08/05
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Department of Economics and Related Studies, University of York, York, YO10 5DD, United Kingdom

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  1. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329, September.
  2. De Fraja, Gianni & Landeras, Pedro, 2006. "Could do better: The effectiveness of incentives and competition in schools," Journal of Public Economics, Elsevier, vol. 90(1-2), pages 189-213, January.
  3. DEL REY, Elena, . "Teaching versus research: a model of state university competition," CORE Discussion Papers RP 1501, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. Gravelle, Hugh, 1999. "Capitation contracts: access and quality," Journal of Health Economics, Elsevier, vol. 18(3), pages 315-340, June.
  5. Ching-to Albert Ma & James F. Burgess Jr., 1992. "Quality Competition, Welfare, and Regulation," Papers 0024, Boston University - Industry Studies Programme.
  6. Matsumura, Toshihiro & Matsushima, Noriaki, 2007. "Congestion-reducing investments and economic welfare in a Hotelling model," Economics Letters, Elsevier, vol. 96(2), pages 161-167, August.
  7. Caroline Minter Hoxby, 1994. "Does Competition Among Public Schools Benefit Students and Taxpayers?," NBER Working Papers 4979, National Bureau of Economic Research, Inc.
  8. Pedro P. Barras & Xavier Martinez-Giralt, . "Public And Private Provision Of Healtch Care," UFAE and IAE Working Papers 438.99, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  9. Martin Gaynor, . "What Do We Know About Competition and Quality in Health Care Markets?," GSIA Working Papers 2006-E62, Carnegie Mellon University, Tepper School of Business.
  10. Economides, Nicholas, 1993. "Quality variations in the circular model of variety-differentiated products," Regional Science and Urban Economics, Elsevier, vol. 23(2), pages 235-257, April.
  11. Brekke, Kurt R. & Kuhn, Michael, 2006. "Direct to consumer advertising in pharmaceutical markets," Journal of Health Economics, Elsevier, vol. 25(1), pages 102-130, January.
  12. Hugh Gravelle & Giuliano Masiero, . "Quality incentives in a regulated market with imperfect information and switching costs: capitation in general practice," Discussion Papers 00/18, Department of Economics, University of York.
  13. Konigbauer, Ingrid, 2007. "Advertising and generic market entry," Journal of Health Economics, Elsevier, vol. 26(2), pages 286-305, March.
  14. Odd Rune Straume & Kurt Brekke & Robert Nuscheler, 2004. "Gatekeeping In Health Care," Royal Economic Society Annual Conference 2004 83, Royal Economic Society.
  15. Daniel P. Kessler & Mark B. McClellan, 2000. "Is Hospital Competition Socially Wasteful?," The Quarterly Journal of Economics, Oxford University Press, vol. 115(2), pages 577-615.
  16. Robert Nuscheler, 2003. "Physician Reimbursement, Time-Consistency and the Quality of Care," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 159(2), pages 302-, June.
  17. Epple, Dennis & Romano, Richard E, 1998. "Competition between Private and Public Schools, Vouchers, and Peer-Group Effects," American Economic Review, American Economic Association, vol. 88(1), pages 33-62, March.
  18. Thomas P. Lyon, 1999. "Quality Competition, Insurance, and Consumer Choice in Health Care Markets," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 8(4), pages 546-580, December.
  19. Kurt R. Brekke & Robert Nuscheler & Odd Rune Straume, 2006. "Quality and Location Choices under Price Regulation," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 15(1), pages 207-227, 03.
  20. Dranove, David & White, William D, 1994. "Recent Theory and Evidence on Competition in Hospital Markets," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 3(1), pages 169-209, Spring.
  21. Léonard,Daniel & Long,Ngo van, 1992. "Optimal Control Theory and Static Optimization in Economics," Cambridge Books, Cambridge University Press, number 9780521337465, September.
  22. Chalkley, M. & Malcomson, J.M., 1995. "Contracting for health services with unmonitored quality," Discussion Paper Series In Economics And Econometrics 9510, Economics Division, School of Social Sciences, University of Southampton.
  23. Beitia, Arantza, 2003. "Hospital quality choice and market structure in a regulated duopoly," Journal of Health Economics, Elsevier, vol. 22(6), pages 1011-1036, November.
  24. De Fraja, Gianni, 2000. "Contracts for health care and asymmetric information," Journal of Health Economics, Elsevier, vol. 19(5), pages 663-677, September.
  25. Asher Wolinsky, 1997. "Regulation of Duopoly: Managed Competition vs Regulated Monopolies," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 6(4), pages 821-847, December.
  26. Sloan, Frank A., 2000. "Not-for-profit ownership and hospital behavior," Handbook of Health Economics, in: A. J. Culyer & J. P. Newhouse (ed.), Handbook of Health Economics, edition 1, volume 1, chapter 21, pages 1141-1174 Elsevier.
  27. Tay, Abigail, 2003. " Assessing Competition in Hospital Care Markets: The Importance of Accounting for Quality Differentiation," RAND Journal of Economics, The RAND Corporation, vol. 34(4), pages 786-814, Winter.
  28. Dee, Thomas S., 1998. "Competition and the quality of public schools," Economics of Education Review, Elsevier, vol. 17(4), pages 419-427, October.
  29. Dockner, Engelbert J, 1992. "A Dynamic Theory of Conjectural Variations," Journal of Industrial Economics, Wiley Blackwell, vol. 40(4), pages 377-95, December.
  30. Economides, Nicholas, 1989. "Quality variations and maximal variety differentiation," Regional Science and Urban Economics, Elsevier, vol. 19(1), pages 21-29, February.
  31. Chalkley, M. & Malcomson, J.M., 1995. "Contracting for health services when patient demand does not reflect quality," Discussion Paper Series In Economics And Econometrics 9514, Economics Division, School of Social Sciences, University of Southampton.
  32. De Fraja, Gianni & Iossa, Elisabetta, 2002. "Competition among Universities and the Emergence of the Elite Institution," Bulletin of Economic Research, Wiley Blackwell, vol. 54(3), pages 275-93, July.
  33. Shen, Yu-Chu, 2003. "The effect of financial pressure on the quality of care in hospitals," Journal of Health Economics, Elsevier, vol. 22(2), pages 243-269, March.
  34. Karlsson, Martin, 2007. "Quality incentives for GPs in a regulated market," Journal of Health Economics, Elsevier, vol. 26(4), pages 699-720, July.
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