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A cost allocation framework for LP and GLP games

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  • Mariusz Kaleta
  • Eugeniusz Toczyłowski

Abstract

Cost allocation problems within the GLPG class of games (Generalized Linear Programming Games) are considered in this paper. We assume that a group of agents participate in a common project and each agent defines his requirements for his expected benefit resulting from the project. Then, the joint cost of the project must be allocated amongst the agents in order to satisfy a set of required properties.

Suggested Citation

  • Mariusz Kaleta & Eugeniusz Toczyłowski, 2009. "A cost allocation framework for LP and GLP games," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 19(4), pages 27-46.
  • Handle: RePEc:wut:journl:v:4:y:2009:p:27-46:id:144
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    References listed on IDEAS

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    1. Dominique Henriet & Herve' Moulin, 1996. "Traffic-Based Cost Allocation in a Network," RAND Journal of Economics, The RAND Corporation, vol. 27(2), pages 332-345, Summer.
    2. Amartya K. Sen, 1966. "Labour Allocation in a Cooperative Enterprise," Review of Economic Studies, Oxford University Press, vol. 33(4), pages 361-371.
    3. Hogan, William W, 1992. "Contract Networks for Electric Power Transmission," Journal of Regulatory Economics, Springer, vol. 4(3), pages 211-242, September.
    4. Xin Chen & Jiawei Zhang, 2009. "A Stochastic Programming Duality Approach to Inventory Centralization Games," Operations Research, INFORMS, vol. 57(4), pages 840-851, August.
    5. A.B. Gamble & A.I. Pazgal, 1995. "A Linear Programming Framework for Network Games," Discussion Papers 1119, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    6. Eric J. Friedman, 2004. "Paths and consistency in additive cost sharing," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(4), pages 501-518, August.
    7. E. Loehman & A. Whinston, 1974. "An Axiomatic Approach to Cost Allocation for Public Investment," Public Finance Review, , vol. 2(2), pages 236-250, April.
    8. 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.
    9. Aadland, David & Kolpin, Van, 1998. "Shared irrigation costs: An empirical and axiomatic analysis," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 203-218, March.
    10. Skorin-Kapov, Darko & Skorin-Kapov, Jadranka, 2005. "Threshold based discounting networks: The cost allocation provided by the nucleolus," European Journal of Operational Research, Elsevier, vol. 166(1), pages 154-159, October.
    11. Krus, Lech & Bronisz, Piotr, 2000. "Cooperative game solution concepts to a cost allocation problem," European Journal of Operational Research, Elsevier, vol. 122(2), pages 258-271, April.
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