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Un algorithme général de calcul de l’état d’équilibre d’un oligopole. (A general algorithm to compute the equilibrium state of an oligopoly). (French) Zbl 0648.90009

Summary: Under certain concavity and differentiability assumptions about supply and demand functions, there exist efficient algorithms for finding the equilibrium state of an oligopoly. In this paper we relax differentiability and show that the resulting equilibrium is not necessarily unique, even under strict concavity assumptions. Then we describe a situation where nondifferentiability occurs naturally. Finally numerical experimentation indicates that, in the differentiable case, the proposed algorithm is at least as efficient as algorithms to be found in the recent literature.

MSC:

91B50 General equilibrium theory
91B24 Microeconomic theory (price theory and economic markets)
90C90 Applications of mathematical programming
65K10 Numerical optimization and variational techniques
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