ABSTRACT

Game theory is concerned with the logic of decision making in social situations in which the outcomes depend upon the decisions of two or more autonomous agents, each with only partial control over the outcomes (Colman, 1982). Strategic games have outcomes dependent upon the choices of two or more decision makers each with a partial control, so that decisions are made under uncertainty rather than risk since probabilities cannot be readily assigned to players' moves. Much of the research in this area has been in the field of economics, stemming from the Minimax Theorem, (Von Neumann and Morganstern, 1953) and more recently in education (Saunders, 1995). Within the field of strategic games, examples such as Kalah and Connect 4 are well represented with Web sites (WWWl), but little is reported on the game of Downfall, which in some ways mimics those common tasks in life where our planned efforts are interfered with by others attempting the same chore.