This article describes a simple two-player game which illustrates basic concepts of brinkmanship, to include calculations of probability and expected outcomes, and risk-taking profiles. The game befits a single 50-minute class period with introduction, gameplay, and discussion. The game can supplement the study of conflict from classic Cold War…

This study focuses on pre-service teachers' experimentation with a game-modding process in a constructionist setting whilst they experimented with randomness embedded in wider socio-scientific issues that call for decision making under uncertainty. In this process, participants created 39 different game mods. Our observations of the participants…

In this paper, we derive the result of the classical gambler's ruin problem using elementary linear algebra. Moreover, the pedagogical advantage of the derivation is briefly discussed.

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,…

This paper is about performance assessment in serious games. We conceive serious gaming as a process of player-lead decision taking. Starting from combinatorics and item-response theory we provide an analytical model that makes explicit to what extent observed player performances (decisions) are blurred by chance processes (guessing behaviors). We…

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…

There exists considerable and rich literature on students' misconceptions about probability; less attention has been paid to the development of students' probabilistic thinking in the classroom. Grounded in an analysis of the literature, this article offers a lesson sequence for developing students' probabilistic understanding. In particular, a…

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…

We consider how probability theory can be used to increase one's chances of winning in the new television game show "The Colour of Money."

Computer users express a strong desire to prevent attacks, and to reduce the losses from computer and information security breaches. However, despite the widespread availability of various technologies, actual investments in security remain highly variable across the Internet population. As a result, attacks such as distributed denial-of-service…

The authors investigate the strategic rationale behind the message sent by Osama bin Laden on the eve of the 2004 U.S. Presidential elections. They model this situation as a signaling game in which a population of receivers takes a binary choice, the outcome is decided by majority rule, sender and receivers have conflicting interests, and there is…

Our pig game involves a series of tosses of a die with the possibility of a player's score improving with each additional toss. With each additional toss, however, there is also the chance of losing the entire score accumulated so far. Two different strategies for deciding how many tosses a player should attempt are developed and then compared in…

The author describes a protocol for classroom experiments for courses that introduce undergraduates to signaling games. Signaling games are conceptually difficult because, when analyzing the game, students are not naturally inclined to think in probabilistic, Bayesian terms. The experimental design explicitly presents the posterior frequencies of…

The Monty Hall three-door, "Let's Make a Deal" game, named after the 1970s television show, is used widely in economics, econometrics, statistics, and game-theory-based teaching, as well as in many other disciplines. Its solutions and underlying assumptions arouse great passion and argument, in both the academic and popular press. Most economists…

Despite many applications of prospect theory's concepts to explain political and strategic phenomena, formal analyses of strategic problems using prospect theory are rare. Using Fearon's model of bargaining, Tversky and Kahneman's value function, and an existing probability weighting function, I construct a model that demonstrates the differences…