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On the strategic non-complementarity of complements

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  • Martin Gregor

    (IES, Charles University)

Abstract

This paper examines the equilibrium provision of a public good if the private monetary contributions of identical agents are (im)pure complements. To reconcile complementarity in contributions with the apparent substitutability of monetary payments, we assume a setup with multiple inputs into a complementary production function. This paper proves the uniqueness and symmetry of the equilibrium for any impure complementarity if each agent is permitted to contribute to any input in the equilibrium, contributions are strategic substitutes. Only pure complementarity exhibits multiple equilibria, where contributions are either strategic substitutes or strategic complements.

Suggested Citation

  • Martin Gregor, 2008. "On the strategic non-complementarity of complements," Economics Bulletin, AccessEcon, vol. 8(3), pages 1-7.
    • Handle: RePEc:ebl:ecbull:eb-08h00002
    as

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    References listed on IDEAS

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    1. Richard Cornes, 1993. "Dyke Maintenance and Other Stories: Some Neglected Types of Public Goods," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(1), pages 259-271.
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    3. Sebastian G. Kessing, 2007. "Strategic Complementarity in the Dynamic Private Provision of a Discrete Public Good," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(4), pages 699-710, August.
    4. Vicary, Simon & Sandler, Todd, 2002. "Weakest-link public goods: Giving in-kind or transferring money," European Economic Review, Elsevier, vol. 46(8), pages 1501-1520, September.
    5. Scott Barrett, 2003. "Global Disease Eradication," Journal of the European Economic Association, MIT Press, vol. 1(2-3), pages 591-600, 04/05.
    6. Martin Gregor & Lenka Gregorová, 2007. "Inefficient centralization of imperfect complements," Working Papers IES 2007/19, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised Jun 2007.
    7. Bergstrom, Ted C. & Blume, Larry & Varian, Hal, 1992. "Uniqueness of Nash equilibrium in private provision of public goods : An improved proof," Journal of Public Economics, Elsevier, vol. 49(3), pages 391-392, December.
    8. Sandler, Todd & Vicary, Simon, 2001. "Weakest-link public goods: giving in-kind or transferring money in a sequential game," Economics Letters, Elsevier, vol. 74(1), pages 71-75, December.
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    Cited by:

    1. Martin Gregor, 2011. "Tradeoffs of foreign assistance for the weakest-link global public goods," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 18(2), pages 233-251, April.

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    More about this item

    JEL classification:

    • H0 - Public Economics - - General
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

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