Strongarm arcade games: A case study in mathematical modelling

Two linked cases are described, that have been used many times over many years with MBA students to teach both basic spreadsheet design and mathematical modelling and to act as a framework to stimulate thought about the wider considerations associated with the application of mathematical models. The broad aspects of the mathematical modelling methodology that are taught are first briefly considered. The simpler case together with its more demanding extension are both presented. The students' approaches are then categorised and the common mistakes/weaknesses and the strength of submissions are listed. This paper closes with a consideration of the value of the cases in student teaching. Solutions to both cases, applying the mathematical modelling methodology in detail, are given in Appendices.