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Do Increases in Environmental Risk Reduce Welfare? A Dynamic Game Perspective


  • Hassan Benchekroun
  • Ngo Van Long


We consider the effect of an increase in the risk from pollution. We show that in the case of a flow pollution, when the number of players is sufficiently large, the result of Bramoulle and Treich, showing that a marginal increase of risk in the neighborhood of a risk-free world is welfare-improving, holds even when we consider non-marginal increases in risk and for any initial values of the risk. By contrast, in the case of a stock pollutant, we show that starting in a risk-free world a marginal increase in risk is always welfare reducing. However if the initial value of the risk is sufficiently large, the impact of an increase in risk depends on the level of the stock pollutant. In this non-negligible risk case, it is only for values of the stock of pollution that are below a certain threshold that an increase in risk can mitigate the failure from cooperation over emissions and increase welfare On étudie l'effet d'une augmentation du niveau de risque environnemental. On montre que dans le cas d'un flux de pollution, quand le nombre de joueurs est assez grand, une augmentation de l'incertitude est bonne pour le bien-être social. Par contre, dans le cas d'un stock de pollution, si la situation initiale est sans risque, une augmentation marginale du risque est préjudiciable. Cependant, si l'on commence avec un niveau de risque assez élevé, l'effet d'une augmentation du risque dépend du niveau du stock initial. Si ce dernier est inférieur à un certain seuil, une augmentation du risque peut pallier la défaillance de coopération et améliorer le bien-être social.

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  • Hassan Benchekroun & Ngo Van Long, 2013. "Do Increases in Environmental Risk Reduce Welfare? A Dynamic Game Perspective," CIRANO Working Papers 2013s-08, CIRANO.
  • Handle: RePEc:cir:cirwor:2013s-08

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    References listed on IDEAS

    1. Biffis, Enrico & Blake, David, 2010. "Securitizing and tranching longevity exposures," Insurance: Mathematics and Economics, Elsevier, vol. 46(1), pages 186-197, February.
    2. Dwight M. Jaffee & Thomas Russell, 1996. "Catastrophe Insurance, Capital Markets and Uninsurable Risks," Center for Financial Institutions Working Papers 96-12, Wharton School Center for Financial Institutions, University of Pennsylvania.
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    More about this item


    Tragedy of the commons; transboundary pollution; uncertainty; risk; differential games; Tragédie des biens communs; pollution transfrontière; incertitude; risque; jeux différentiels;

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • Q50 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - General
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General

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