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On Invariance and Periodicity Properties in Set-Valued Processes

  • Peter Kischka
Conference paper

Abstract

Set-valued mappings (correspondences) arise in economic theory in quite different fields. They were used for instance by John v. Neumann in order to investigate the equilibria in input-output models and they are a main instrument of production theory since the early fifties. More recently correspondences are used to describe the dynamic behaviour of an economy [see e.g. Champsaur/Drèze/Henry; Cherene], In these cases a set-valued process is considered, which determines (in the discrete case) the set of all possible states at time t + 1 given the state at time t; in the continuous case the set valued process is given by a set-valued differential equation (Set-valued differential equations or generalized dynamical systems are described in Roxin.

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References

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Copyright information

© Springer-Verlag Berlin Heidelberg 1983

Authors and Affiliations

  • Peter Kischka

There are no affiliations available

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