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A Linear Constraint Formulation for Spatial and Temporal Cost Imputations in Accord with Shapley Values

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  • C M Dufournaud

    (Department of Geography, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada)

  • J J Harrington

    (Division of Applied Sciences, Harvard University, Pierce Hall 113, Cambridge, MA 02138-2901, USA)

Abstract

In a recent paper we presented a linear programming model of a three-riparian, two-time-period, joint river-basin development scheme by using cooperative game theory. The objective of the model was to develop ‘fair’ and equitable divisions of the benefits and costs of cooperation. In this paper the analysis is extended by including linear constraints which satisfy the well-known Shapley-value imputation scheme.

Suggested Citation

  • C M Dufournaud & J J Harrington, 1991. "A Linear Constraint Formulation for Spatial and Temporal Cost Imputations in Accord with Shapley Values," Environment and Planning A, , vol. 23(10), pages 1517-1521, October.
    • Handle: RePEc:sae:envira:v:23:y:1991:i:10:p:1517-1521
    DOI: 10.1068/a231517
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    References listed on IDEAS

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    1. Tijs, S.H. & Driessen, T.S.H., 1986. "Game theory and cost allocation problems," Other publications TiSEM 376c24c5-c95d-4d29-96b6-4, Tilburg University, School of Economics and Management.
    2. S. H. Tijs & T. S. H. Driessen, 1986. "Game Theory and Cost Allocation Problems," Management Science, INFORMS, vol. 32(8), pages 1015-1028, August.
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