Abstract
We provide an algorithm for computing Cournot-Nash equilibria in multi-commodity markets involving finitely many producers. The algorithm amounts to follow a certain dynamical system all the way to its steady state which happens to be a non-cooperative equilibrium. The dynamics arise quite naturally as follows: Let each producer continuously adjust his planned production, if desired, as a response to the current aggregate supply. In doing so he is completely guided by myopic profit considerations. We show, under broad hypothesis on the market structure, that this adjustment process is globally, asymptotically convergent to a Nash equilibrium.
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© 1989 Springer-Verlag Berlin Heidelberg
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Ben-Israel, A., Flåm, S.D. (1989). A Dynamic Approach to Oligopolistic Market Equilibrium. In: Wallace, S.W. (eds) Algorithms and Model Formulations in Mathematical Programming. NATO ASI Series, vol 51. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83724-1_17
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DOI: https://doi.org/10.1007/978-3-642-83724-1_17
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-83726-5
Online ISBN: 978-3-642-83724-1
eBook Packages: Springer Book Archive