We show that the empirical process of the squared residuals of an ARCH(p) sequence converges in distribution to a Gaussian process B (F(t)) + tf(t)E , where F is the distribution function of the squared innovations, f its derivative, {B(t), 0= t = 1} a Brownian bridge and E a normal random...

This paper proposes a new kind of asymmetric GARCh where the conditional variance obeys two different regimes with a smooth transition function. In one formulation variance reacts differently to negative and positive shocks while a second formulation, small and big shocks have separate effects.

We study cycles and chaos in economic models. Autonomous dynamical systems are considered through infinite time horizon optimization models. We first show how endogenous fluctuations arise in a multisector growth model. Secondly, we consider an extension of this model by allowing direct...

We study a selection method for a Nash feedback equilibrium of a one-dimensional linear-quadratic nonzero sum game over an infinite horizon: by introducing a change in the time variable, one obtains an associated game over a finite horizon T 0 and with free terminal state. This associated game...

We consider a capital accumulation game between two different jurisdictions. When the jurisdictions adopt open loop strategies, we study the inefficiency of the steady state Nash equilibrium with respect to the steady state utilitarian solution.