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An Axiomatic Approach to the Allocation of a Fixed Cost Through Prices

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  • Leonard J. Mirman
  • Dov Samet
  • Yair Tauman

Abstract

We study the allocation of fixed costs to the outputs of a multiproduct firm. First we allocate short-run fixed costs through A-S prices which allocate the long-run costs. Long-run cost functions do not generally contain a fixed cost component. We show what part of the A-S prices associated with the long-run cost is allocated to the fixed cost and what part is allocated to the variable cost of the short-run costs. Second, in those cases in which the fixed costs must be allocated directly, we alter the axioms characterizing A-S prices slightly to accommodate cost functions which have a fixed cost component and derive an allocation mechanism characterized by these axioms for cost functions including those with a fixed cost component

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  • Leonard J. Mirman & Dov Samet & Yair Tauman, 1983. "An Axiomatic Approach to the Allocation of a Fixed Cost Through Prices," Bell Journal of Economics, The RAND Corporation, vol. 14(1), pages 139-151, Spring.
    • Handle: RePEc:rje:bellje:v:14:y:1983:i:spring:p:139-151
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    References listed on IDEAS

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    1. Samet, Dov & Tauman, Yair, 1982. "The Determination of Marginal Cost Prices under a Set of Axioms," Econometrica, Econometric Society, vol. 50(4), pages 895-909, July.
    2. Ronald R. Braeutigam, 1980. "An Analysis of Fully Distributed Cost Pricing in Regulated Industries," Bell Journal of Economics, The RAND Corporation, vol. 11(1), pages 182-196, Spring.
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    Cited by:

    1. Antonio Villar, 1994. "Existence and efficiency of equilibrium in economics with increasing returns to scale: an exposition," Investigaciones Economicas, Fundación SEPI, vol. 18(2), pages 205-243, May.
    2. Castano-Pardo, Alberto & Garcia-Diaz, Alberto, 1995. "Highway cost allocation: An application of the theory of nonatomic games," Transportation Research Part A: Policy and Practice, Elsevier, vol. 29(3), pages 187-203, May.
    3. Louis Anthony Cox, 1984. "Probability of Causation and the Attributable Proportion Risk," Risk Analysis, John Wiley & Sons, vol. 4(3), pages 221-230, September.
    4. David Encaoua & Michel Moreaux, 1987. "L'analyse théorique des problèmes de tarification et d'allocation des coûts dans les télécommunications," Revue Économique, Programme National Persée, vol. 38(2), pages 375-414.
    5. Tehrani Nejad Moghaddam, Alireza, 2010. "Allocating the CO2 emissions of an oil refinery with Aumann-Shapley prices: Comment," Energy Economics, Elsevier, vol. 32(1), pages 243-255, January.
    6. Evangelinos, Christos, 2013. "Infrastrukturpreise: Eine normativ-theoretische Analyse," Discussion Papers 1/2013, Technische Universität Dresden, "Friedrich List" Faculty of Transport and Traffic Sciences, Institute of Transport and Economics.
    7. Bogetoft, Peter & Hougaard, Jens Leth & Smilgins, Aleksandrs, 2016. "Applied cost allocation: The DEA–Aumann–Shapley approach," European Journal of Operational Research, Elsevier, vol. 254(2), pages 667-678.
    8. James R. Hines, Jr., 1990. "The Transfer Pricing Problem: Where the Profits Are," NBER Working Papers 3538, National Bureau of Economic Research, Inc.
    9. Hartman, Raymond & Wheeler, David & Singh, Manjula, 1994. "The cost of air pollution abatement," Policy Research Working Paper Series 1398, The World Bank.
    10. Raymond Hartman & David Wheeler & Manjula Singh, 1997. "The cost of air pollution abatement," Applied Economics, Taylor & Francis Journals, vol. 29(6), pages 759-774.
    11. María Angeles García Valiñas, 2004. "Eficiencia y equidad en el diseño de precios óptimos para bienes y servicios públicos," Hacienda Pública Española / Review of Public Economics, IEF, vol. 168(1), pages 95-119, march.
    12. Avraham Beja & Israel Zang, 1986. "Internal Pricing and Cost Allocation for Efficient Decentralized Control," Discussion Papers 703, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    13. Otero, Jesus & Waddams Price, Catherine, 2001. "Incumbent and entrant response to regulated competition: signaling with accounting costs and market prices2," Journal of Economics and Business, Elsevier, vol. 53(2-3), pages 209-223.

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