gambling mathematics; mathematical models; probabilistic models; cognitive therapy; gambling research; epistemic knowledge; epistemology of mathematical modeling

Document Type

Original Research Article


Games of chance are developed in their physical consumer-ready form on the basis of mathematical models, which stand as the premises of their existence and represent their physical processes. There is a prevalence of statistical and probabilistic models in the interest of all parties involved in the study of gambling – researchers, game producers and operators, and players – while functional models are of interest more to math-inclined players than problem-gambling researchers. In this paper I present a structural analysis of the knowledge attached to mathematical models of games of chance and the act of mathematical modeling, arguing that such non-standard knowledge holds potential in the prevention and cognitive treatment of excessive gambling, and I propose further research in this direction.