The purpose of this paper is to study the self-similar properties of discrete-time long memory processes. We apply our results to specific processes such as GARMA processes and GIGARCH processes, heteroscedastic models and the processes with switches and jumps.

This paper demonstates the existence of a finite set of equilibria in the case of the indeterminacy of linear rational expectations models. The number of equilibria corresponds to the number of ways to select n eigenvectors among a larger set of eigenvectors related to stable eigenvalues. A...

In this paper, a continuous-time price-quantity trading process is defined for exchange economies with differentiable characteristics. The dynamics is based on boundedly rational agents exchanging limit-price orders to a central clearing house, which rations infinitesimal trades according to...

In this paper, we apply first and higher-order Euler discretizations to compare dynamic systems in discrete and continuous time. In addition, we stress the difference between backward and forward-looking approximations. Focussing on local bifurcations, we find that time representation is neutral...

This paper considers an infinite-horizon monetary economy with collateralized assets. A Central BanK lends money to households by creating short- and long-term loans. Households can deposit or borrow money on both short- and long-term maturity loans. If households want to sell a financial asset,...

This paper considers an infinite-horizon monetary economy with collateralized assets. A Central BanK lends money to households by creating short- and long-term loans. Households can deposit or borrow money on both short- and long-term maturity loans. If households want to sell a financial asset,...

We study the consequences of dropping the perfect competition assumption in an infinite horizon model with infinitely-lived traders and collateralized assets together with asymmetric information among players and incomplete monitoring. Trading assets is not only a way to hedge oneself against...

We build an infinite-horizon dynamic deterministic general equilibrium model with imperfect markets (because of borrowing constraints), in which heterogeneous agents invest in capital or/and financial asset, and consume. There is a representative firm who maximizes its profit. Firstly, the...

We build an infinite-horizon dynamic deterministic general equilibrium model with imperfect markets (because of borrowing constraints), in which heterogeneous agents invest in capital or/and financial asset, and consume. There is a representative firm who maximizes its profit. Firstly, the...

We consider a general equilibrium model with heterogeneous agents, borrowing constraints, and exogenous labor supply. First, the existence of intertemporal equilibrium is proved even if the aggregate capitals are not uniformly bounded above and the production functions are not time invariant....