In this paper we provide a generalization of the Perron-Frobenius theorem to subhomogeneous nonlinear mappings, Throughout this theorem, we investigate connections between productive scale-dependent input-output models and the class of M-functions. Moreover, technological changes are introduced in the economic system and some sufficient conditions on the productiveness of the resulting model are provided.
Torriero, A., Allevi, E., M-functions and scale dependent input-output models, <<PURE MATHEMATICS AND APPLICATIONS>>, 2000; 10 (4): 413-421 [http://hdl.handle.net/10807/34479]
M-functions and scale dependent input-output models
Torriero, Anna;Allevi, Elisabetta
2000
Abstract
In this paper we provide a generalization of the Perron-Frobenius theorem to subhomogeneous nonlinear mappings, Throughout this theorem, we investigate connections between productive scale-dependent input-output models and the class of M-functions. Moreover, technological changes are introduced in the economic system and some sufficient conditions on the productiveness of the resulting model are provided.
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