Hierarchical Economic Agents and their Interactions

We present a new type of spin market model, populated by hierarchical agents, represented as configurations of sites and arcs in an evolving network. We describe two analytic techniques for investigating the asymptotic behavior of this model: one based on the spectral theory of Markov chains and another exploiting contingent submartingales to construct a deterministic cellular automaton that approximates the stochastic dynamics. Our study of this system documents a phase transition between a sub-critical and a super-critical regime based on the values of a coupling constant that modulates the tradeoff between local majority and global minority forces. In conclusion, we offer a speculative socioeconomic interpretation of the resulting distributional properties of the system.Comment: 38 pages, 13 figures, presented at the 2013 WEHIA conference; to appear in Journal of Economic Interaction and Coordination, to appear in Journal of Economic Interaction and Coordinatio

The Development and Validation of the Emporium Model Motivation Scale (EMMS)

The purpose of this research study was to begin the development and validation of a new survey instrument; the Emporium Model Motivation Scale (EMMS). The instrument is designed to be used as part of a more holistic evaluation of non-traditional student-centered mathematics courses or programs redesigned using the Emporium Model (E-Model). EdResearch suggested that the design of the E-Model environment was better suited to help students become more autonomy-natured (Williams, 2016). The present research was rooted in Self-determination Theory (SDT), which asserted that all individuals had a natural desire to strive for autonomy, competence, and relatedness in their social environments (Ryan & Deci, 2000; 2017). The research study consisted of a random sample of n = 463 respondents from both a U.S. community college and 4-year public university. Results of an Exploratory Factor Analysis (EFA) produced four parsimonious factor solutions that showed potential to be valid, highly reliable with (ω ≥ .89) and replicable across other samples or populations. The factors were analyzed using Polychoric correlations, with Unweighted Least Squares (ULS) extraction and Promax rotation. Correlational analysis, MANOVA, ANOVA, and Standard Multiple Regression were performed with accurate and reliable standardized factor score estimates. Overall results revealed statistically significant differences between the two institutions of higher learning across levels of the EMMS factors. Further analyses revealed that age was a statistically significant predictor of the EMMS factors and that older respondents were more autonomous and receptive of the E-Model design for course instruction

Enumeration of labelled 4-regular planar graphs

We present the first combinatorial scheme for counting labelled 4-regular planar graphs through a complete recursive decomposition. More precisely, we show that the exponential generating function of labelled 4-regular planar graphs can be computed effectively as the solution of a system of equations, from which the coefficients can be extracted. As a byproduct, we also enumerate labelled 3-connected 4-regular planar graphs, and simple 4-regular rooted maps

Decision Taking for Selling Thread Startup

Decision Taking is discussed in the context of the role it may play for a selling agent in a search market, in particular for agents involved in the sale of valuable and relatively unique items, such as a dwelling, a second hand car, or a second hand recreational vessel. Detailed connections are made between the architecture of decision making processes and a sample of software technology based concepts including instruction sequences, multi-threading, and thread algebra. Ample attention is paid to the initialization or startup of a thread dedicated to achieving a given objective, and to corresponding decision taking. As an application, the selling of an item is taken as an objective to be achieved by running a thread that was designed for that purpose

University Advising Center Syllabus and Handbook

The syllabus and handbook made available to students to help them navigate undergraduate advising. This includes information on the various types of advisement at the university, a description and guide to using the online LoboAchieve service, an overview of ACT/SAT score placement for Gen Ed courses, and other helpful sections

Do current-density nonlinearities cut off the glass transition?

Extended mode coupling theories for dense fluids predict that nonlinear current-density couplings cut off the singular `ideal glass transition', present in the standard mode coupling theory where such couplings are ignored. We suggest here that, rather than allowing for activated processes as sometimes supposed, contributions from current-density couplings are always negligible close to a glass transition. We discuss in schematic terms how activated processes can nonetheless cut off the transition, by causing the memory function to become linear in correlators at late times.Comment: 4 page