ABSTRACT
This chapter reviews the basic components of mathematical modeling, learn the definition of a game and explores several scenarios amenable to game theoretic modeling, a particular type of mathematical modeling. It presents the general rationality assumptions underlying game theory. The chapter describes three scenarios and the information needed to begin constructing a game theoretical model for each. Game theory has a collection of mathematical concepts and tools useful in modeling scenarios having multiple interacting decision makers: people, businesses, governments, animals, and genes. In the natural sciences, modeling has descriptive, explanatory, and predictive goals: what is, why it is, and what will happen. The group of tourists included several older couples, a number of middle-aged couples, and five adult/child pairings. However, since the Danube River feeds into the Black Sea, there were serious environmental consequences as pollution from fertilizer combined with untreated wastewater and other pollution from growing populations in the area.
