The Market as Optimum Self-Control Systemwith Inertia and Delay

The mathematical model of the market of one goods is considered prix the known demand line with accounting of delay in supply of the goods. The general and some partial criteria of optimality of the market behavior are formulated. The market state at consequent discrete time moments is characterized by the goods price and by the volume of the unsold goods (remainders). The self-management of the market is executing by change of the goods price. The certain market conservatism (inertness) in relation to changes of the goods price is taken into account. From criteria of the optimality the strategies (algorithms) of the self-management of the market for its transition from a certain outraged state into the equilibrium state are obtained. Examples of numerical research of various market models with use of the method of possible directions are presented.

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