The starting point of this article is the result of one ultimatum game experiment one of many showing a huge deviation from the predictions of micro theory. However, further analysis gives an explanation of subject behavior that deserves to be seen as rational, if assumptions, such as a total secrecy resulting in no effects on reputation, are questioned. Respondersí actual behavior can be under...

A discrete non-autonomous SIRVS model with general incidence is obtained from a continuous model by applying Mickens non-standard discretization method. Conditions for the permanence and extinction of the disease and the stability of diseasefree solutions are obtained. It is also proved that, if the time step is sufficiently small, when we obtain extinction (respectively permanence) for the con...

With the growth of capital market, the shareholding structure of companies has become more complex. Direct ownership is easily recognizable through companies’ shareholders information, however with the formation of cross shareholding among companies, a kind of indirect and complex shareholding has emerged which is not observable. The primary owners (original owners) can take over other companie...

Using stochastic differential equations with Lévy jumps, this paper studies the effect of environmental stochasticity and random catastrophes on the permanence of Lotka-Volterra facultative systems. Under certain simple assumptions, we establish the sufficient conditions for weak permanence in the mean and extinction of the non-autonomous system, respectively. In particular, a necessary and suf...

This paper is concerned with the permanence and extinction problem of enterprises cluster constituted by m satellite enterprises and a dominant enterprise. We present the model involving impulsive effect based on ecology theory, which effectively describe the competition and cooperation of enterprises cluster in real economic environment. Applying comparison theorem of impulsive differential eq...