Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2014, Special Issue (2013), Article ID 152060, 12 pages.

CSR Impact on Hospital Duopoly with Price and Quality Competition

Youguang Xu

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This paper investigates the impact of corporate social responsibility (CSR) on hospital duopoly with price and quality competition. A CSR hospital is defined in this paper that cares about not only the profit but also the patient benefit. We start our analysis by establishing a two-stage Hotelling model with and without CSR. Results indicate that privatization mechanism may not be the best way of improving medical quality. Competition between hospitals with zero-CSR would lower the equilibrium qualities compared to the first-best level. So the coexistence of a public (more accurately, partial public) and a private hospital might be more efficient than a private-private hospital duopoly. During the competition with CSR in price and quality, social welfare level acts in accordance with an inverted U-shaped trajectory as CSR degree increases. The main reason lies in tha fact that optimal degree of CSR is determined by the trade-off between the benefit of quality improvement and the cost of quality investment. Numerical simulation shows that the optimal degree of CSR is less than a third.

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J. Appl. Math., Volume 2014, Special Issue (2013), Article ID 152060, 12 pages.

First available in Project Euclid: 1 October 2014

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Xu, Youguang. CSR Impact on Hospital Duopoly with Price and Quality Competition. J. Appl. Math. 2014, Special Issue (2013), Article ID 152060, 12 pages. doi:10.1155/2014/152060.

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  • A. Herr, “Quality and welfare in a mixed duopoly with regulated prices: the case of a public and a private hospital,” Discussing Paper, Düsseldorf institute for competition economics, 2010.
  • K. R. Brekke, L. Siciliani, and O. R. Straume, “Hospital competition and quality with regulated prices,” Scandinavian Journal of Economics, vol. 113, no. 2, pp. 444–469, 2011.
  • Y. Sanjo, “Quality choice in a health care market: a mixed duopoly approach,” European Journal of Health Economics, vol. 10, no. 2, pp. 207–215, 2009.
  • K. Eggleston and W. Yip, “Hospital competition under regulated prices: application to urban health sector reforms in China,” International Journal of Health Care Finance and Economics, vol. 4, no. 4, pp. 343–368, 2004.
  • D. P. Kessler and M. B. McClellan, “Is hospital competition socially wasteful?” NBER Working Paper 7266, 1999.
  • M. K. Bundorf, J. Levin, and N. Mahoney, “Pricing and welfare in health plan choice,” The American Economic Review, vol. 102, no. 7, pp. 3214–3248, 2012.
  • M. Montefiori, “Spatial competition for quality in the market for hospital care,” European Journal of Health Economics, vol. 6, no. 2, pp. 131–135, 2005.
  • T. Matsumura, “Partial privatization in mixed duopoly,” Journal of Public Economics, vol. 70, no. 3, pp. 473–483, 1998.
  • K. Ishibashi and T. Kaneko, “Partial privatization in mixed duopoly with price and quality competition,” Journal of Economics, vol. 95, no. 3, pp. 213–231, 2008.
  • Y. Sanjo, “Hotelling's location model with quality choice in mixed duopoly,” Economics Bulletin, vol. 18, no. 2, pp. 1–11, 2007.
  • K. George and M. M. A. la Manna, “Mixed duopoly, inefficiency, and public ownership,” Review of Industrial Organization, vol. 11, no. 6, pp. 853–860, 1996.
  • T. Matsumura and O. Kanda, “Mixed oligopoly at free entry markets,” Journal of Economics, vol. 84, no. 1, pp. 27–48, 2005.
  • M. Friedman, “The social responsibility of business is to increase its profits,” The New York Times Magazine, 1970.
  • D. P. Baron, “Private politics, corporate social responsibility, and integrated strategy,” Journal of Economics & Management Strategy, vol. 10, no. 1, pp. 7–45, 2001.
  • L. Lambertini and A. Tampieri, “On the stability of mixed oligopoly equilibria with CSR firms,” Working Paper 723, University of Bologna, 2011.
  • M. Kopel and B. Brand, “Socially responsible firms and endogenous choice of strategic incentives,” Economic Modelling, vol. 29, no. 3, pp. 982–989, 2012.
  • H. Hotelling, “Stability in competition,” Economic Journal, vol. 39, pp. 41–57, 1929. \endinput