The stochastic optimal growth problem
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NAVAL, Elvira. The stochastic optimal growth problem. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2012, nr. 1(68), pp. 15-20. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 1(68) / 2012 / ISSN 1024-7696 /ISSNe 2587-4322

The stochastic optimal growth problem

Pag. 15-20

Naval Elvira
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 13 decembrie 2013


Rezumat

This paper concerns the formulation of economic optimal control problem in a stochastic form. Equilibrium growth rate for this problem was obtained on the base of the stochastic maximum principle following the new approach [1] to the solution of optimal control stochastic problem, in which the stochastic dynamic programming formulation is transformed into formulation of the maximum principle. This approach was applied to the solution of the stochastic optimal growth problem.

Cuvinte-cheie
Optimal stochastic control,

Ito’s processes, Ito’s Lemma, Hamilton-Jacobi-Bellman equation