In general, it is clear that open-loop Nash equilibrium and feedback Nash equilibrium do not coincide. In this paper, we study the structure of differential games and develop a technique using which we can identify classes of games for which the open-loop Nash equilibrium is a degenerate feedback equilibrium. This technique clarifies the relationship between the assumptions made on the structur...

This paper considers the problem of stabilizing a wastewater plant using damping feedback controller. The nonlinear model used is the AM1 anaerobic digestion model. The proposed approach consists in using a damping state feedback controller that renders a desired equilibrium stable through feedback. We first construct an approximate dissipative potential function centered at the desired equilib...

The ease of Internet stock trading has lured relatively inexperienced investors into the financial markets. We study the consequences of the influx of these uninformed traders with a dynamic equilibrium framework. Our results show that these strategic uninformed online traders who adopt feedback strategies cannot outperform those who do not follow feedback strategies and that feedback trading c...

In this note we consider a general equilibrium model with oligopolistic competition between firms who ignore the feedback effect of their dividend payments on demand. The outcome of this competition coincides with the perfectly competitive equilibrium solution, provided that firms have identical production technologies. I would like to thank Atsushi Kajii and two anonymous referees for helpful ...

As it is well known in differential games, the open-loop Nash equilibrium (OLNE) concept with an infinite period of commitment is weakly time-consistent but not strongly time-consistent. On the other hand, the feedback Nash equilibrium (FBNE) is Markov perfect by construction and thus a more satisfactory solution concept, but solutions are usually very difficult to derive. Explicit solutions ca...

In the paper, several different methods are adopted to control Lü system. With direct feedback method, Lü system can be stabilized at one equilibrium point or a limit cycle surrounding its equilibrium. With adaptive time-delayed feedback method, feedback coefficient and delay time can be adjusted adaptively to stabilize Lü system at its original unstable periodic orbit. With minimal energy meth...