The instantaneous social utility of consumption is measured as the integral of individual utilities of the consumption goods. Handbook of Mathematical Economics, red. In the article we present some extension for the classical problem of dynamic investment optimization. Decisions matemayczna capital allocation determine the stocks of fixed capital productive capacities of the firms.

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Duzilkree The features which differentiate individual equilibria are the structure of fixed capital and the structure of ownership of the firms by capitalists. The process of transforming product into consumption goods is described by another measure.

All papers reproduced by permission. In the article we present some extension for the classical problem of dynamic investment optimization. An Introduction to the Theory and Its Applications. The number of consumption goods can be infinite and the consumption bundle is defined on some abstract, measurable space. Reproduction and distribution subject to the approval of the copyright owners.

We show that the problem of choosing optimal consumption paths for each good can be decomposed into 1 problem of choosing optimal aggregate ;anek, which can be solved using standard methods of optimal control theory, 2 problem of distribution aggregate consumption into consumption of specific goods.

Optimal consumption and investment in the economy with infinite number of consumption goods. We take the neoclassical model of growth with one product and many consumption goods. Decisions on capital allocation determine the stocks of fixed capital productive capacities of the firms.

The instantaneous social utility of consumption is measured as the integral of individual utilities of the consumption goods. Every single agent firm or capitalist takes his ekonomi autonomously, generally in disequilibrium.

Dover Publications, New York, Springer- Verlag, Nowy Jork, The purpose of the paper is to build and investigate a decentralized dynamic model of classical inspiration thought of as an alternative to the neoclassical walrasian general equilibrium models.

Optimal consumption and investment in the economy with infinite number of consumption goods Rkonomia Journal, 38, The performance of the economy is measured by current value of the total utility in some planning horizon. The model describes an economy in which n firms are owned by m capitalists. Handbook of Mathematical Economics, red.

Cambrige University Press, Cambridge, Next it is shown that a set of a continuum of pznek exists, ekonomiaa of which characterized by the same uniform interest rate and the same balanced growth rate. Princeton University Press, Princeton, A long-run classical equilibrium of the model is defined as a process of homothetic growth with equal profit rates. A mathematical theory of saving.

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## Podstawy ekonomii matematycznej. Elementy teorii produkcji i równowagi ogólnej.

Duzilkree The features which differentiate individual equilibria are the structure of fixed capital and the structure of ownership of the firms by capitalists. The process of transforming product into consumption goods is described by another measure. All papers reproduced by permission. In the article we present some extension for the classical problem of dynamic investment optimization. An Introduction to the Theory and Its Applications. The number of consumption goods can be infinite and the consumption bundle is defined on some abstract, measurable space. Reproduction and distribution subject to the approval of the copyright owners.

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