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Cobb-Douglas preferences and pollution in a bilateral oligopoly market

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  • Anicet Kabre

Abstract

In this note, we introduce pollution and examine its effects in a finite bilateral oligopoly model where agents have asymmetric Cobb-Douglas preferences. We define two strategic equilibria: the Stackelberg-Cournot equilibrium with pollution (SCEP) and the Cournot equilibrium with pollution (CEP). While the supplied quantities of the polluting and the non-polluting good depend on the preferences of all economic agents in the case of symmetric preferences, we show that when preferences are asymmetric, i) at both equilibria, each polluter’s equilibrium supply depends only on the non-polluters’ preferences for the non-polluting good; ii) at the CEP and the SCEP, the elasticity of the polluters emissions is greater when nonpolluters preferences for the non-polluting good increase, compared to an increase in their own preferences for this good; iii) firm’s emissions’elasticity decreases with the market power if their marginal cost is lower than their competitor.

Suggested Citation

  • Anicet Kabre, 2018. "Cobb-Douglas preferences and pollution in a bilateral oligopoly market," EconomiX Working Papers 2018-48, University of Paris Nanterre, EconomiX.
    • Handle: RePEc:drm:wpaper:2018-48
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    More about this item

    Keywords

    Bilateral oligopoly; Pollution; Cobb-Douglas preferences;
    All these keywords.

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • Q52 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Pollution Control Adoption and Costs; Distributional Effects; Employment Effects

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