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Colloquium Paper

Coordination vs. voluntarism and enforcement in sustaining international environmental cooperation

Scott Barrett
PNAS December 20, 2016 113 (51) 14515-14522; first published November 7, 2016; https://doi.org/10.1073/pnas.1604989113
Scott Barrett
aSchool of International and Public Affairs & Earth Institute, Columbia University, New York, NY 10027
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  • For correspondence: sb3116@columbia.edu
  1. Edited by Simon A. Levin, Princeton University, Princeton, NJ, and approved September 29, 2016 (received for review June 7, 2016)

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    Fig. 1.

    In this prisoners’ dilemma/public goods game, there is a unique Nash equilibrium at which all players play defect/contribute nothing.

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    Fig. 2.

    In this treaty participation game, there is a unique Nash equilibrium at k∗. Here, nonsignatories do better than signatories, as in a chicken game.

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    Fig. 3.

    In this weakest link game, there are two Nash equilibria, and one of which yields a higher payoff for achieving eradication.

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    Fig. 4.

    In this catastrophe avoidance game, there are two Nash equilibria, with selection of the better one, on the right, requiring coordination.

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    Fig. 5.

    The gray lines show the public goods game played against the background of free trade. The black lines show the same game subject to a trade ban. In this game, there is a tipping point at z^ and Nash equilibria at either end, with the equilibrium supported by a trade ban being preferred by all of the players.

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    Table 1.

    Equilibrium properties of various games

    Equilibrium propertiesCoordination
    Dilemma/public goodsTreaty/chickenWeakest linkCatastrophe avoidanceTrade restrictions
    Unique?YesYesNoNoNo
    Dominant strategy?YesNoNoNoNo
    First best efficient?NoNoYesPossiblyYes
    Intermediately efficient?NoYesNoPossiblyNo
    Symmetric?YesNoYesProbablyYes
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Multilateral cooperation and the environment
Scott Barrett
Proceedings of the National Academy of Sciences Dec 2016, 113 (51) 14515-14522; DOI: 10.1073/pnas.1604989113

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Multilateral cooperation and the environment
Scott Barrett
Proceedings of the National Academy of Sciences Dec 2016, 113 (51) 14515-14522; DOI: 10.1073/pnas.1604989113
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Proceedings of the National Academy of Sciences: 113 (51)
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