C62 - Existence and Stability Conditions of EquilibriumReturn

In this article we analyze the continuous inflation dynamics using a four-equation model. When constructing the model, the traditional Kaldorian two-equation model is extended by adding two other equations. One of them describes an adaptive inflation expectations and the other continuous dynamics of the money market. In this setting, the instability velocity of money circulation is assumed due to the effects of expected inflation on money circulation velocity. Then the parameters of the model are estimated using the real Czech economic data. As it is a non-linear model in its parameters, a non-linear estimation technique is used for this purpose. Further, the stationarity as well as the stability of the estimated model is thoroughly examined as its instability may indicate that the model can generate some complex dynamics.

Currently a considerable attention to the subject of network industries is being paid in discussions on various levels. It is understandable as network industries in fact ensure the production and distribution of energy sources which play a key role in developed economies. The discussions are usually focused on the question of reasonable profit of network industries subjects and on the other hand the question of generally acceptable costs. Equilibrium on the network industries market, as well as on any market, is being created based on the level of demand and supply on relevant market. In this article we will discuss the analysis of optimization models of consumers and producers behavior on the network industries market as well as the question of effectiveness of this specific market. We will point out certain features of network industries market where the consumer usually is not able to substitute a product of network industry with other product of appropriate characteristics in a short time period, thus considering the product being exclusive. This exclusivity can be formally represented in the utility function and other related analytical tasks. In paper we study the properties of a network industry optimization problem and economically interpretable implications of Kuhn-Tucker optimality conditions of this model.

In this paper the stability of an inflationary process is examined. A dynamic model of the inflation has been developed based on the quantity theory of money. Some theorists say that any rate of inflation other than zero is inherently instable. They say that as people become aware of the fact of continues inflation, however slow, they will anticipate inflation and this anticipation generates inflation. We showed that there exists a model, which helps us to understand that inflation is not necessarily explosive. We follow the ideas of Ph. Cagan.