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Multiproduct tariffs

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Abstract

Necessary conditions characterizing optimal nonlinear multiproduct tariffs are derived from aggregate data about customers' responses to linear tariffs. These conditions are amenable to numerical solution with standard software by using a discrete formulation of an associated nonlinear optimization problem cast in terms of the marginal prices charged for incremental bundles. This approach avoids integrability restrictions that otherwise encumber the computations. However, this method does not ensure that customers' second-order conditions for optimality of their demands are satisfied. Some numerical examples are provided, and the extension of the method to Ramsey pricing is also demonstrated.

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References

  • Baron, David P. 1989. “Design of Regulatory Mechanisms and Institutions.” In The Handbook of Industrial Organization, R. Schmalansee and R. Willig (eds.), Volume II, Chapter 24, 1347–1447. Amsterdam and New York: Elsevier Science Publishers B.V. (North-Holland).

    Google Scholar 

  • Baron, David P., and Roger B. Myerson. 1982. “Regulating a Monopolist with Unknown Costs,” Econometrica 50: 911–30.

    Google Scholar 

  • Brown, Stephen J., and David S. Sibley. 1986. The Theory of Public Utility Pricing. Cambridge UK: Cambridge University Press.

    Google Scholar 

  • Elsgolc, L. E. 1961. Calculus af Variations. London: Pergamon Press Ltd.

    Google Scholar 

  • Goldman, M. Barry, Hayne E. Leland, and David S. Sibley. 1984. “Optimal Nonuniform Pricing.” Review of Economic Studies 51: 305–319.

    Google Scholar 

  • Guesnerie, Roger, and Jean-Jacques Laffont. 1984. “A Complete Solution to a Class of Principal-Agent Problems with an Application to the Control of a Self-Managed Firm.” Journal of Public Economics 25: 329–69.

    Google Scholar 

  • Guesnerie, Roger, and Jesus Seade. 1982. “Nonlinear Pricing in a Finite Economy.” Journal of Public Economics 17: 157–179.

    Google Scholar 

  • Katz, Michael L. 1983. “Non-Uniform Pricing, Output and Welfare Under Monopoly.” Review of Economic Studies 50: 37–56.

    Google Scholar 

  • Maskin, Eric, and John Riley. 1984. “Monopoly with Incomplete Information.” The RAND Journal of Economics 15: 171–196.

    Google Scholar 

  • McAfee, Preston, and John McMillan. 1988. “Multidimensional Incentive Compatibility and Mechanism Design.” Journal of Economic Theory 46: 335–354.

    Google Scholar 

  • Mirman, Leonard J., and David S. Sibley. 1980. “Optimal Nonlinear Prices for Multiproduct Monopolies.” The Bell Journal of Economics 11: 659–670.

    Google Scholar 

  • Mirrlees, James A. 1971. “An Exploration in the Theory of Optimal Taxation.” Review of Economic Studies 38: 175–208.

    Google Scholar 

  • Mirrlees, James A. 1976. “Optimal Tax Theory: A Synthesis.” Journal of Public Economics 6: 327–358.

    Google Scholar 

  • Mirrlees, James A. 1986. “The Theory of Optimal Taxation”. K.J. Arrow and M.D. Intriligator, eds., Handbook of Mathematical Economics, Volume III, Chapter 24, pp. 1197–1249. Amsterdam and New York: Elsevier Science Publishers B.V. (North-Holland).

    Google Scholar 

  • Oren, Shmuel, Stephen Smith, and Robert Wilson. 1983. “Competitive Nonlinear Tariffs.” Journal of Economic Theory 29: 49–71.

    Google Scholar 

  • Press, William, Brian Flannery, Saul Teukolsky, and William Vetterling. 1986. Numerical Recipes. Cambridge UK: Cambridge University Press.

    Google Scholar 

  • Roberts, Kevin W.S. 1979. “Welfare Considerations of Nonlinear Pricing.” Economic Journal 89: 66–83.

    Google Scholar 

  • Spence, A. Michael. 1976. “Nonlinear Prices and Welfare.” Journal of Public Economics 8: 1–18.

    Google Scholar 

  • Spence, A. Michael. 1980. “Multi-Product Quantity-Dependent Prices and Profitability Constraints.” Review of Economic Studies 47: 821–841.

    Google Scholar 

  • Wilson, Robert B. 1989. Nonlinear Pricing. Palo Alto CA: Electric Power Research Institute.

    Google Scholar 

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Wilson, R. Multiproduct tariffs. J Regul Econ 3, 5–26 (1991). https://doi.org/10.1007/BF00157608

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  • DOI: https://doi.org/10.1007/BF00157608

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