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Séminaire Fondation HEC Montréal

Dynamic competitive economic models - An early theory of dynamic games

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2 fév. 2016   11h00 — 12h00

Dean A. Carlson Mathematical Reviews, AMS, États-Unis

In 1925, C. F. Roos published the paper "A Mathematical Theory of Competition" in the American Journal of Mathematics. In that work he introduced dynamic game models as a generalization of the calculus of variations. After this paper, he went further and developed a more detailed mathematical theory for what he called Generalized Lagrange Problems in the Calculus of Variations. These models contained coupled constraints described by nonlinear integral equations.

In this talk we will briefly discuss Roos' competitive equilibrium models and summarize his contributions to the theory of open-loop dynamic games through the use of these general models. We conclude by discussing some preliminary research concerning the existence of open-loop Nash equlibria for problems involving nonlinear integral equations which include Roos' examples as special cases.


Entrée gratuite.
Bienvenue à tous!

Georges Zaccour responsable

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Salle 4488
Pavillon André-Aisenstadt
Campus de l'Université de Montréal
2920, chemin de la Tour Montréal QC H3T 1J4 Canada

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