Two Round Deletion in Commitment Games

In this paper, we consider the proof of non existence problem that there should be no non degenerated mixed equilibrium or not, in actiom commitment games in Hamilton & Slutsky (1990）．The direct proof is given here in the case that quadratic profit functions are assumed to both players or convex isoprofit curves are assumed all over the difinition area of profit functuins. And, we will proof some new genenral theorem about this non existence problem, which apply to the quantity setting duopoly games