The paper exposits a number of key dynamic models from the field of economics. The models share the feature that evolution of the system is consistent with the optimizing behavior of rational economic agents. Specifically, the laws of motion that we investigate are solutions to discrete time dynamic decision processes. Even with rational agents and simple economic environments, a variety of com...

We introduce a new probabilistic approach to dealing with uncertainty, based on the observation that probability theory does not require that every event be assigned a probability. For a nonmeasurable event (one to which we do not assign a probability), we can talk about only the inner measure and outer measure of the event. Thus, the measure of belief in an event can be represented by an inter...

The BDI model is well accepted as an architecture for representing and realizing rational agents. The beliefs in this model are focused on the representation of beliefs about the world and other agents and are widely independent from the agents intentions. We argue that also the representation of know-how, which captures the beliefs about actions and procedures, has to be taken into account whe...

We introduce and study a unified reasoning process which allows to represent the beliefs of both a fully rational agent and an unaware one. This reasoning process endows introspection and unawareness with natural properties. The corresponding model for the rational or boundedly rational agents is easy both to describe and to work with, and the agent’s full system of beliefs has natural descript...

In this paper I outline an attempt to reconcile the traditional Artii-cial Intelligence notion of a logic-based rational agent with the contrary notion of a reactive agent that acts \instinctively" in response to conditions that arise in its environment. For this purpose, I will use the tools of meta-logic programming to deene the observation-thought-action cycle of an agent that combines the a...

The aim of this article is to focus on the investigation of such rationally parametrized hypersurfaces which admit rational convolution (RC) generally, or in some special cases. Examples of such hypersurfaces are presented and their properties are discussed. We also aim to examine links between well-known curves and surfaces (PH/PN or LN) and general objects defined and explored in this article...