On the Nash-Cournot Oligopolistic Market Equilibrium Model with Concave Cost Function
نویسندگان
چکیده
We investigate the Nash-Cournot oligopolistic market equilibrium model with concave cost function. We show that in this case the model can be formulated as a mixed variational inequality on its convex, compact strategy set, which, in general, may fail to exist an equilibrium point. We give conditions under which the model has an equilibrium point. We then propose an algorithm for finding an equilibrium point of the model or for detecting that the model is unsolvable. Numerical experiments on several randomly generated data show the efficiency of the proposed algorithm.
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On Nash-Cournot oligopolistic market equilibrium models with concave cost functions
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