McK economy is globally asymptotically stable (Panek , ). Moreover: () j j t j j y pg tpgty. = → Panek E. (), Ekonomia matematyczna, Wyd. ekonomia matematyczna emil panek pdf. Quote. Postby Just» Tue Aug 28, am. Looking for ekonomia matematyczna emil panek pdf. Will be grateful. Krawczyk S., Matematyczna analiza sytuacji decyzyjnych, PWE, Warszawa 3. Roy B. .. Panek E., Ekonomia matematyczna, Wyd. AE, Poznań 5.

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Optimal consumption and investment in the economy with infinite number of consumption goods. In the article we present some extension for the classical problem of dynamic investment optimization.

We take the neoclassical model of growth with one product and many consumption goods. The number of consumption goods can be infinite and the consumption bundle is defined on some abstract, measurable space.


ekonomia matematyczna emil panek pdf – PDF Files

The instantaneous social utility of consumption is measured as the integral of individual utilities of the consumption goods. The process of transforming product into consumption goods is described by another measure.

The performance of the economy is measured by current magematyczna of the total utility in some planning horizon. We show that the problem of choosing optimal consumption paths for each good can be decomposed into 1 problem of choosing optimal aggregate consumption, which can be solved using standard methods of optimal control theory, 2 problem of distribution aggregate consumption into consumption of specific goods.

An Introduction to the Theory and Its Applications.

Dover Publications, New York, Springer-Verlag, Nowy Jork, Deterministic and stochastic optimal control. Springer- Verlag, Nowy Jork, Optimal Control Theory and Static Opimization.

Cambridge University Press, Cambridge, Wydawnictwo Akademii Ekonomicznej w Poznaniu, Pozna, Diffusions, Markov processes and martingales, volume 1. Cambrige University Press, Cambridge, All papers reproduced by permission.


Podstawy ekonomii matematycznej: materiały do ćwiczeń – Google Books

Reproduction and distribution subject to the approval of the copyright owners. McGraw-Hill, New York, A mathematical theory of saving. Economic Journal, 38, Princeton University Press, Princeton,