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Weighted Aumann-Shapley pricing

Author

Listed:
  • William W. Sharkey

    (Federal Communications Commission, 1919 M Street NW, Washington, DC 20554, USA)

  • Richard P. McLean

    (Department of Economics, Rutgers University, New Brunswick, NJ 08903-5055, USA)

Abstract

Cost allocation problems arise in many contexts in economics and management science. In a typical problem that we have in mind, a decision maker must decide how to allocate the joint cost of production among several commodities using prices. Furthermore, these prices must satisfy certain reasonable postulates among which is the requirement that total revenue associated with these prices must cover total cost. In this paper, we investigate a generalization of Aumann-Shapley pricing, called Weighted Aumann-Shapley pricing, that allows for asymmetric pricing of commodities even when those commodities affect costs in a symmetric fashion. Weighted AS pricing is a natural extension of (symmetric) Aumann-Shapley pricing, and may be considered a non-atomic analogue of Owen's modified diagonal formula (with respect to the multilinear extension) for the weighted TU Shapley Value.

Suggested Citation

  • William W. Sharkey & Richard P. McLean, 1998. "Weighted Aumann-Shapley pricing," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(4), pages 511-523.
    • Handle: RePEc:spr:jogath:v:27:y:1998:i:4:p:511-523
    Note: Received December 1993/Revised version June 1998
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    Citations

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    Cited by:

    1. Moulin, Herve & Shenker, Scott, 1999. "Distributive and Additive Costsharing of an Homogeneous Good," Games and Economic Behavior, Elsevier, vol. 27(2), pages 299-330, May.
    2. 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.
    3. Richard P. McLean & Amit Pazgal & William W. Sharkey, 2004. "Potential, Consistency, and Cost Allocation Prices," Mathematics of Operations Research, INFORMS, vol. 29(3), pages 602-623, August.
    4. Moulin, Herve, 2002. "Axiomatic cost and surplus sharing," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 6, pages 289-357, Elsevier.

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