A fairly general class of decision-making problems has been investigated in which two or more players compete to satisfy the demand for a particular commodity in a manner that will minimize their own individual costs. A situation of imperfect competition without negotiation has been assumed, which leads to a series of nonzero-sum games that must be solved. A short discussion of some of the important properties of the minhnax and Nash solution strategies for non-zero-sum games has been included. Finally, the game solution strategy is incorporated into a dynamic equation to form a solution technique for decision-making problems involving competition.