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- A Procedure For Sharing Recycling Costs

Author

Listed:
  • José Alcalde

    (Universidad de Andalucía)

  • José Angel Silva

    (Universidad de Alicante)

Abstract

This paper examines a situation in which the production activities of different agents, in a common geographical location, create waste products that are either of a similar biological or chemical composition or offer commercially compatible combinations. What we propose here, therefore, is a cost-sharing model for the of recycling of their waste products. We concentrate, however, on the specific case in which the agents' activities are heterogeneous. We first examine, from a normative point of view, the cost-sharing rule, which we shall call the multi-commodity serial (MCS) rule. We introduce a property, that we call Cost-Based Equal Treatment, and we demonstrate that the unique rule verifying the Serial Principle and this property is the MCS rule. We then deal with the analysis of the agents' strategic behavior when they are allowed to select their own production levels, in which case the total cost is then split, in accordance with the MCS rule. We show that there is only one Nash equilibrium, which is obtained from an interactive elimination of dominated strategies.

Suggested Citation

  • José Alcalde & José Angel Silva, 2000. "- A Procedure For Sharing Recycling Costs," Working Papers. Serie AD 2000-14, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    • Handle: RePEc:ivi:wpasad:2000-14
    as

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    File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-2000-14.pdf
    File Function: Fisrt version / Primera version, 2000
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    References listed on IDEAS

    as
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    4. Koster, Maurice & Tijs, Stef & Borm, Peter, 1998. "Serial cost sharing methods for multi-commodity situations," Mathematical Social Sciences, Elsevier, vol. 36(3), pages 229-242, December.
    5. Eric Friedman, 1999. "Paths and Consistency in Additive Cost Sharing," Departmental Working Papers 199923, Rutgers University, Department of Economics.
    6. Koster, M.A.L., 1998. "Multi-Service Serial Cost Sharing : A Characterization of the Moulin-Shenker Rule," Discussion Paper 1998-06, Tilburg University, Center for Economic Research.
    7. Mirman, Leonard J. & Tauman, Yair & Zang, Israel, 1986. "Ramsey prices, average cost prices and price sustainability," International Journal of Industrial Organization, Elsevier, vol. 4(2), pages 123-140, June.
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    13. E. Loehman & A. Whinston, 1974. "An Axiomatic Approach to Cost Allocation for Public Investment," Public Finance Review, , vol. 2(2), pages 236-250, April.
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    15. Friedman, Eric & Moulin, Herve, 1999. "Three Methods to Share Joint Costs or Surplus," Journal of Economic Theory, Elsevier, vol. 87(2), pages 275-312, August.
    16. S. C. Littlechild & G. Owen, 1973. "A Simple Expression for the Shapley Value in a Special Case," Management Science, INFORMS, vol. 20(3), pages 370-372, November.
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    Cited by:

    1. Friedman, Eric J., 2002. "Strategic properties of heterogeneous serial cost sharing," Mathematical Social Sciences, Elsevier, vol. 44(2), pages 145-154, November.

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    More about this item

    Keywords

    Cost Sharing Rules; Serial Cost Sharing; Dominance Solvability.;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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