Contributors to cobweb theory include many leading economists of the twentieth century. From early beginnings in 1930, played a key role evolving perceptions market stability arising from recursive linear models with endogenous dynamics. The focal point this evolution is transition naive adaptive rational price expectations. After review prehistory, paper examines first wave initiated by Jan Ti...

Abstract F -boxes defined in [6] as hyper-boxes in N∞ discrete space were applied here for the geometric description of the cobweb posetes Hasse diagrams tilings. The F -boxes edges sizes are taken to be values of terms of natural numbers’ valued sequence F . The problem of partitions of hyper-boxes represented by graphs into blocks of special form is considered and these are to be called F -ti...

The classical cobweb theorem is extended to include production lags and price forecasts. Price forecasting based on a longer period has a stabilizing effect on prices. Longer production lags do not necessarily lead to unstable prices; very long lags lead to cycles of constant amplitude. The classical cobweb requires elasticity of demand to be greater than that of supply; this is not necessarily...

This paper describes a framework that generates constructive induction schemes for the concept formation system COBWEB. The basis of this framework|context-dependent bias of multi-valued properties|provides a way for allowing COBWEB to deal with continuous and hierarchical property types as a special case of constructive induction. The constructive induction scheme does not introduce learning b...

The notion of reduced incidence algebra of an arbitrary cobweb poset is delivered.

We introduce a natural partial order ≤ in structurally natural finite subsets of the cobweb prefabs sets recently constructed by the present author. Whitney numbers of the second kind of the corresponding subposet which constitute Stirling-like numbers‘ triangular array are then calculated and the explicit formula for them is provided. Next in the second construction we endow the set sums of pr...

Conceptual clustering is an important way to summarize data in an understandable manner. However, the recency of the conceptual clustering paradigm has allowed little exploration of conceptual clustering as a means of improving performance. This paper presents COBWEB, a conceptual clustering system that organizes data to maximize inference abilities. It does this by capturing attribute inter-co...

A digraph that represents reasonably a scheduling problem should have no cycles i.e. it should be DAG i.e. a directed acyclic graph. Here down we shall deal with special kind of graded DAGs named KoDAGs. For their definition and first primary properties see [1], where natural join of di-bigraphs (directed bi-parted graphs) and their corresponding adjacency matrices is defined and then applied t...