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A Note on the Cost-Benefit Ratio in Self-Enforcing Agreements

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  • Hennlock, Magnus

    ()
    (Department of Economics, School of Business, Economics and Law, Göteborg University)

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    Abstract

    Since the analysis of a self-enforcing agreement by Barrett (1994) it has been clear that the ratio between the slopes of the marginal cost and marginal benefit functions is conclusive for stability of self-enforcing agreements. For example Finus and Rundshagen (1998) stated: 'it turns out that all qualitative results depend only on this ratio' as it determines the non-orthogonal free-riding response along Nash reaction functions. This note shows that this 'pure' connection between the cost-benefit ratio and non-orthogonal free-riding response occurs due to the 'anonymous contributions' property of public goods, and in such cases the cost-benefit ratio effect holds regardless the functional form of objectives, the formulation of congestion or the degree of impureness of the public good. Therefore we expect to see the cost-benefit ratio still be the conclusive component also in self-enforcing agreements based on more general functional forms than seen hitherto in the literature.

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    File URL: http://hdl.handle.net/2077/19767
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    Bibliographic Info

    Paper provided by University of Gothenburg, Department of Economics in its series Working Papers in Economics with number 350.

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    Length: 9 pages
    Date of creation: 03 Apr 2009
    Date of revision:
    Handle: RePEc:hhs:gunwpe:0350

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    Postal: Department of Economics, School of Business, Economics and Law, University of Gothenburg, Box 640, SE 405 30 GÖTEBORG, Sweden
    Phone: 031-773 10 00
    Web page: http://www.handels.gu.se/econ/
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    Related research

    Keywords: public goods; self-enforcing agreements; reaction function; coalition theory;

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    1. Hennlock, Magnus, 2005. "On strategic incentives and the management of stochastic renewable resources," Department of Economics publications 1018, Swedish University of Agricultural Sciences, Department of Economics.
    2. Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 488-511, June.
    3. Bergstrom, Theodore & Blume, Lawrence & Varian, Hal, 1986. "On the private provision of public goods," Journal of Public Economics, Elsevier, vol. 29(1), pages 25-49, February.
    4. Sandmo, Agnar, 1973. "Public Goods and the Technology of Consumption," Review of Economic Studies, Wiley Blackwell, vol. 40(4), pages 517-28, October.
    5. Carraro, Carlo & Siniscalco, Domenico, 1993. "Strategies for the international protection of the environment," Journal of Public Economics, Elsevier, vol. 52(3), pages 309-328, October.
    6. Michael Hoel, 1992. "International environment conventions: The case of uniform reductions of emissions," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 2(2), pages 141-159, March.
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