For a better understanding of froth flotation principle and to explain the conflict in flotation a recovery model is formulated. From the theoretical formulation, it transpires that based on the gain values of the various strategies of the three players in a game theory, it is possible to predict pure mineral recovery using flotation column by summing up the concentrate of the two players at a time. The present work is an attempt to apply the game theory to a mineral extraction problem where the aim of flotation optimization is to find the operating conditions which gives the highest grade and recovery using game theory with three players.