On Cournot-Nash equilibria with exogenous uncertainty

J. Aaftink, N. Ireland, M. Sertel

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    Abstract

    A large body of literature has accumulated which examines how the optimal solution of an agent maximizing the expectation of a real-valued function, depending on a random parameterp and the agent's behaviorx, reacts to perturbations in the first and second moments ofp. Here, by an approximation valid for small uncertainty, we allow many agents and consider their behavior in a Cournot-Nash equilibrium. We also allowp to depend on the behaviors of the participating agents. We apply the analysis to two models, one of a Cournot oligopoly, the other of a cooperative of individuals where there is uncertainty in the return to communal work.
    Original languageUndefined
    Pages (from-to)349-365
    JournalJournal of optimization theory and applications
    Volume49
    Issue number3
    DOIs
    Publication statusPublished - 1986

    Keywords

    • Cournot-Nash equilibrium
    • parameter uncertainty
    • oligopoly
    • IR-85971
    • collective farm
    • Non-cooperative games

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