The intervening duality idea was introduced in Ryan (1995) with a context of linear programming characterizations of two person constant sum coin tossing games in which two individuals are modelled as playing as if simultaneously against nature and against each other by making themselves dual to the duals of an intervening coin. The purpose of this paper is to extend intervening duality characterizatione, and by that means to model explicitly subjectively interactive processes of specification and solution to non constant sum bimatrix games the Prisoner’s Dilemma and collusion, Stackelberg and Cournot solutions, to the duopoly problem.