What is game theory and what light does it shed on the duopolists' dilemma?

What will be an ideal response?

Game theory is a tool economists use to analyze the behavior of oligopolistic firms because game theory is a tool to study strategic behavior. Game theory shows that because these firms are interdependent, the decisions they make to promote their own self-interest can wind up harming all the firms. Thus the duopolists' dilemma is illustrated using game theory: Firms looking to earn for themselves the maximum possible profit can wind up earning less profit than if they had behaved less self-interestedly and more cooperatively.