Finite Mathematics has become an enormously rich and productive area of contemporary mathematical biology. Fortunately, educators have developed educational modules based upon many of the models that have used Finite Mathematics in mathematical biology research. A sufficient variety of computer modules that employ graph theory (phylogenetic trees,…

In this article I explore some of the underlying mathematics of Poke´mon battles and describe ways that teachers at the secondary level could explore concepts of mathematical game theory in this context. I discuss various ways of representing and analyzing a Poke´mon battle using game theory and conclude with an example of applying concepts of…

The modern era of professional baseball playoffs began in 1903, when the champions of the American League and the National League played the first World Series. Except for one year, 1904, this playoff system was maintained until 1969. Beginning in 1969, each of the two leagues in Major League Baseball (MLB) was divided into two divisions to…

The paper's aim is to demonstrate the utility of the well-known Nim game when it is used as a tool in teaching the binary system. A way to increase student comprehension, it also forms a basis for student projects and extracurricular activities on the topic. The paper offers descriptions of two versions of the game and the underlying mathematical…

The problem of designing computer programs that will approach human capabilities in pattern recognition is discussed. Human beings are much better at recognizing patterns that are highly structured than at recognizing patterns that are not. In contrast, a computer system's performance in pattern recognition is almost independent of the amount of…

Designed for the student of urban simulation, this paper offers definitions of "models"--conceptual or mathematics formulations of concrete things or of abstract relations between them--and of "simulation"--an act or process, conducted either by persons or devices, by which a model or a hierarchy of models is made to imitate reality. Six basic…

Employing a computer-controlled experimental paradigm for studying coalition formation and bargaining, the present study tests three models for n-person games in characteristic function form, namely, the bargaining set and two of its subsets, the competitive bargaining set and the kernel. Twelve groups of subjects participated in several four…

Discusses some mathematical games concerning the packing of squares. (HM)

Observes the application of probability theory to a game between two players. Shows how basic techniques such as tree diagrams can be used to demonstrate optimum strategies, how the art of bluffing can be quantified, and how this might be applied to a game of poker. (Author/ASK)

This familiar card game has interested mathematicians, economists, and psychologists as a model of decision-making in the real world. It is now serving as a vehicle for investigations in computer science. (Author/MA)

Explaining that grade inflation may result from the professor's competition for favorable student evaluations, asserts that the Theory of Games could be useful for analyzing interactions among professors and their impact on the number of students attracted to their courses. Presents a model based on these assumptions and analyzes policy-relevant…

Presents a typical cost-allocation problem with possible solutions, including geometric and combinatoric ones. Provides students with a real-life application of the mathematics that they know. (KHR)

This document dates from 1966 and is thought to be primarily useful in allowing the reader to trace the evolution of this model from its earlier stages to completion. M.E.T.R.O. is a gaming simulation which uses techniques of war gaming as a tool for coping with current and anticipated urban problems. At this stage in its conception, M.E.T.R.O.…

In professional training of librarians, mathematical modeling can be useful in relatively sophisticated library management games if the models simulate the provision and use of library services. (33 references) (MM)