Am. Tarasyev et C. Watanabe, Dynamic optimality principles and sensitivity analysis in models of economic growth, NONLIN ANAL, 47(4), 2001, pp. 2309-2320
A dynamic model of investment process for an innovator in a market environm
ent is designed. The "light" dynamics of innovator is described by the syst
em of exponential trajectories with quickly changeable growth parameters. T
he innovator operates in the inert market environment presented by "heavy"
exponential trajectories. The model consists of three decision making level
s for dynamical identification, optimization of the commercialization time
and optimal control design. On the first level the innovator makes assessme
nt for the market commercialization time using econometric characteristics
of the current state of the market. On the second level the innovator optim
izes its commercialization time basing on its own current technology stock
and taking into account the forecast of the market commercialization time.
On the third level the innovator solves an optimization problem for the inn
ovation policy minimizing investment expenditures. Properties of sensitivit
y and robustness are investigated for the optimal profit result and innovat
ion feedbacks.