Equilibrium, observability and controllability in selection-mutation models

Equilibrium, observability and controllability in selection-mutation models.

In this paper we shortly discuss the problem of the equilibrium in the well-known Fisher type selection-mutation model, also providing a formula for particular three-allele models. The considered continuous-time dynamics is a known extension of the classical model of natural selection given by Fisher. We also extend the existing investigation of the observability of Fisher's model to the case w...

Observability and Equilibrium Selection

We explore the connection between shock observability and equilibrium. When aggregate shocks are unobserved the rational expectations solutions remain unchanged if contemporaneous aggregate outcomes are observable, but their stability under adaptive learning must be reconsidered. We obtain learning stability conditions and show that, provided there is not large positive expectational feedback, ...

Controllability,Observability,And Stability Of Mathematical Models

Equilibrium Selection, Observability and Backward-stable Solutions∗

We examine robustness of stability under learning to observability of exogenous shocks. Regardless of observability assumptions, the minimal state variable solution is robustly stable under learning provided the expectational feedback is not both positive and large, while the nonfundamental solution is never robustly stable. Overlapping generations and New Keynesian models are considered and co...

ON CONTROLLABILITY AND OBSERVABILITY OF FUZZY CONTROL SYSTEMS

In order to more effectively cope with the real world problems of vagueness, imprecise and subjectivity, fuzzy event systems were proposed recently. In this paper, we investigate the controllability and the observability property of two systems that one of them has fuzzy variables and the other one has fuzzy coefficients and fuzzy variables (fully fuzzy system). Also, sufficient conditions for ...