Comparative Statics and Relative Convexity
证明若两个半正定矩阵之差半正定,则其广义逆之差半负定,并以此比较可行集上的比较静态行为,将条件解释为集合的相对凸性,关联到勒夏特列原理。
This paper shows that if the difference of two positive semidefinite matrices is positive semidefinite then the difference of their generalized inverses is negative semidefinite. It uses this to compare comparative static behaviour over feasible sets whose distance functions have Hessians with a positive semidefinite difference. It then interprets this condition in terms of various ideas of the relative convexity of the two sets and relates it to the Le Chatelier principle.