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Non‐Linear Pricing As A Cooperative Game

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  • Tommy Andersson

Abstract

This paper characterizes non‐linear outlay schedules that are based on a cooperative surplus‐sharing game with transferable utility. First, the pricing game is shown to be convex and, as a consequence, to have a non‐empty core. This is followed by a description of the necessary and sufficient conditions for the envy‐free core to be non‐empty.

Suggested Citation

  • Tommy Andersson, 2007. "Non‐Linear Pricing As A Cooperative Game," Metroeconomica, Wiley Blackwell, vol. 58(4), pages 503-513, November.
    • Handle: RePEc:bla:metroe:v:58:y:2007:i:4:p:503-513
    DOI: 10.1111/j.1467-999X.2007.00284.x
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    References listed on IDEAS

    as
    1. Philippe Bernard & Jerome Wittwer, 2002. "Two-part Pricing, Public Discriminating Monopoly and Redistribution: A Note," Metroeconomica, Wiley Blackwell, vol. 53(2), pages 139-151, May.
    2. Sorenson, John R & Tschirhart, John T & Whinston, Andrew B, 1978. "A Theory of Pricing under Decreasing Costs," American Economic Review, American Economic Association, vol. 68(4), pages 614-624, September.
    3. Eric Maskin & John Riley, 1984. "Monopoly with Incomplete Information," RAND Journal of Economics, The RAND Corporation, vol. 15(2), pages 171-196, Summer.
    4. Peyton Young, H., 1998. "Cost allocation, demand revelation, and core implementation," Mathematical Social Sciences, Elsevier, vol. 36(3), pages 213-228, December.
    5. Moulin, Herve, 1996. "Cost Sharing under Increasing Returns: A Comparison of Simple Mechanisms," Games and Economic Behavior, Elsevier, vol. 13(2), pages 225-251, April.
    6. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    7. John R. Sorenson & John T. Tschirhart & Andrew B. Whinston, 1976. "A Game Theoretic Approach to Peak Load Pricing," Bell Journal of Economics, The RAND Corporation, vol. 7(2), pages 497-520, Autumn.
    8. repec:dau:papers:123456789/1694 is not listed on IDEAS
    9. Andersson, Tommy, 2005. "Profit maximizing nonlinear pricing," Economics Letters, Elsevier, vol. 88(1), pages 135-139, July.
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    More about this item

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • I38 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Government Programs; Provision and Effects of Welfare Programs

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