This article presents an equivalence notion of finite order stochastic processes. Local dependence measures are defined in terms of joint and marginal densities. The dependence measures are classified topologically using level sets. The corresponding bifurcation theory is illustrated with some...

This article presents a bifurcation theory of smooth stochastic dynamical systems that are governed by everywhere positive transition densities. The local dependence structure of the unique strictly stationary evolution of such a system can be expressed by the ratio of joint and marginal...

This article presents an equivalence notion of finite order stochastic processes. Local dependence measures are defined in terms of joint and marginal densities. The dependence measures are classified topologically using level sets. The corresponding bifurcation theory is illustrated with some...

This discussion paper resulted in a publication in the <I>Journal of Economic Dynamics & Control</I>. Volume 33(11), pp. 1912-1928.<P> This paper formalizes the idea that more hedging instruments may destabilize markets when traders are heterogeneous and adapt their behavior according to experience based...</p></i>

This discussion paper resulted in a publication in the <I>Journal of Economic Dynamics and Control</I> (2013), 37(12), 2729-2754.<P> Existing models of R&D are not easily reconciled with four observable aspects of R&D: initial technologies ('ideas') need to be developed further, only a minority of initial...</p></i>

We study a stochastic dynamic game of process innovation in which firms can initiate and terminate R&D efforts and production at different times. We discern the impact of knowledge spillovers on the investments in existing markets, as well as on the likely structure of newly forming markets, for...

We present a continuous-time generalization of the seminal R&D model of d’Aspremont and Jacquemin (American Economic Review, Vol. 78, No. 5) to examine the trade-off between the benefits of allowing firms to cooperate in R&D and the corresponding increased potential for product market...