Deterministic chaos refers to an irregular or chaotic motion that is generated by nonlinear systems. The chaotic behavior is not to quantum-mechanical-like uncertainty. Chaos theory is used to prove that erratic and c...Deterministic chaos refers to an irregular or chaotic motion that is generated by nonlinear systems. The chaotic behavior is not to quantum-mechanical-like uncertainty. Chaos theory is used to prove that erratic and chaotic fluctuations can indeed arise in completely deterministic models. Chaotic systems exhibit a sensitive dependence on initial conditions. Seemingly insignificant changes in the initial conditions produce large differences in outcomes. To maximize profit, the monopolist must first determine its costs and the characteristics of market demand. Given this knowledge, the monopoly firm must then decide how much to produce. The monopoly firm can determine price, and the quantity it will sell at that price follows from the market demand curve. The basic aim of this paper is to construct a relatively simple chaotic growth model of the monopoly price that is capable of generating stable equilibria, cycles, or chaos. A key hypothesis of this work is based on the idea that the coefficient,π=[m（a-1）（e-1）^-eb]plays a crucial role in explaining local stability of the monopoly price, where,b^the coefficient of the marginal cost function of the monopoly firm, m--the coefficient of the inverse demand function, e--the coefficient of the price elasticity of the monopoly demand, a--the coefficient.展开更多
It is a well known fact that studies on growth primarily take into account human populations, although currently many scientific fields （biology, economics, etc.） also use growth models to reflect behaviours in dive...It is a well known fact that studies on growth primarily take into account human populations, although currently many scientific fields （biology, economics, etc.） also use growth models to reflect behaviours in diverse phenomena. These deterministic models are difficult to apply in real populations since, as we know, the volume of a human population depends intrinsically on a large number of other socio-economic variables, including changes in fertility patterns, improvements in living conditions, individual health factors which produce an increase or decrease in the number of years lived, the state of economic well-being, or changes in migratory fluxes. In this study, we have examined the stochastic Gompertz non-homogenous diffusion process, analysing its transition probability density function and conducting inferences on the parameters of the process through discrete sampling All of the results are applied to the population of Andalusia with data disaggregated by sex during the period of 1981 to 2002, taking purely demographic variables as exogenous factors： life expectancy at birth, foreign immigration to Andalusia and total fertility rate展开更多
文摘Deterministic chaos refers to an irregular or chaotic motion that is generated by nonlinear systems. The chaotic behavior is not to quantum-mechanical-like uncertainty. Chaos theory is used to prove that erratic and chaotic fluctuations can indeed arise in completely deterministic models. Chaotic systems exhibit a sensitive dependence on initial conditions. Seemingly insignificant changes in the initial conditions produce large differences in outcomes. To maximize profit, the monopolist must first determine its costs and the characteristics of market demand. Given this knowledge, the monopoly firm must then decide how much to produce. The monopoly firm can determine price, and the quantity it will sell at that price follows from the market demand curve. The basic aim of this paper is to construct a relatively simple chaotic growth model of the monopoly price that is capable of generating stable equilibria, cycles, or chaos. A key hypothesis of this work is based on the idea that the coefficient,π=[m（a-1）（e-1）^-eb]plays a crucial role in explaining local stability of the monopoly price, where,b^the coefficient of the marginal cost function of the monopoly firm, m--the coefficient of the inverse demand function, e--the coefficient of the price elasticity of the monopoly demand, a--the coefficient.
文摘It is a well known fact that studies on growth primarily take into account human populations, although currently many scientific fields （biology, economics, etc.） also use growth models to reflect behaviours in diverse phenomena. These deterministic models are difficult to apply in real populations since, as we know, the volume of a human population depends intrinsically on a large number of other socio-economic variables, including changes in fertility patterns, improvements in living conditions, individual health factors which produce an increase or decrease in the number of years lived, the state of economic well-being, or changes in migratory fluxes. In this study, we have examined the stochastic Gompertz non-homogenous diffusion process, analysing its transition probability density function and conducting inferences on the parameters of the process through discrete sampling All of the results are applied to the population of Andalusia with data disaggregated by sex during the period of 1981 to 2002, taking purely demographic variables as exogenous factors： life expectancy at birth, foreign immigration to Andalusia and total fertility rate
