This work is devoted to a systematic investigation of triangular matrix forms of the Pascal Triangle. To start, the twelve matrix forms (collectively referred to as G-matrices) are presented. To highlight one way in which the G-matrices relate to each other, a set of four operators named circulant operators is introduced. These operators provide a new insight into the structure of the space of ...

Using genetic programming to model the cobweb model as a multiagent system, this chapter generalizes the work done by Arifovic (1994), which is based on genetic algorithms. We find that the rational expectations equilibrium price which can be discovered by genetic algorithms can also be discovered by genetic programming. Furthermore, genetic programming requires much less prior knowledge than g...

Knowledge frontier discovery is a novel technique for identifying interesting subpopulations of a dataset with respect to classification performance. A knowledge frontier is a collection of meaningful groups where any sub-partition with significantly different predictive accuracy is not meaningful. This research introduces knowledge frontiers and knowledge frontier discovery. The first knowledg...

In this paper, we propose a new approach to model bounded rationality in macroeconomics. This method is based on Case-based Decision Theory (Gilboa and Schmeidler, 1995), which been shown to match human choice behavior in experiments (Pape and Kurtz, 2013; Guilfoos and Pape, 2014). The idea is that case-based learning agents behave like ‘average people’ who do not possess structural knowledge o...

Genetically engineered T cells with Chimeric Antigen Receptors, CAR cells, are a revolutionary immunotherapy used to treat advanced blood cancers. The purpose of this experiment was model the destruction process tumor cell therapy using Complexity and Organized Behaviour Within Environmental Bounds (COBWEB), an agent-based simulation software. We designated parameter values for abiotic factors,...

The cobweb model where firms choose between rational and naive forecasting strategies has a 2-cycle when the elasticity of supply is greater than the elasticity of demand for a number of different dynamics describing the evolution of strategy choices. This paper proves that the 2-cycle is exponentially unstable under the learning dynamic of Brown, von Neuman and Nash (1950). Issues arising in t...

Renal cell carcinomas show a variety of histological features. A case of a renal tumour arising in a 44 year old African man is reported. The tumour was composed of a cobweb-like pattern of narrow anastomising tubules lined by cuboidal cells separated by a hypocellular myxoid stroma. Immunohistochemical stains were consistent with a renal cell origin. The differential diagnosis in these cases i...