Linear and Utilitarian Choice Functions: Revisiting Myerson’s Theorem
本文重新审视迈尔森关于线性且弱帕累托选择函数必为功利主义的定理,针对两人情形补充了“仅当”方向,刻画了该类函数为带有“平等主义破平局”的功利主义函数。
Myerson proved that every linear and weakly Paretian choice function is utilitarian. We revisit his model and result for the two-person case and supplement it with an “only if” direction. That is, we characterize the class of linear and weakly Paretian two-person choice functions. It turns out that these are the utilitarian functions with an “egalitarian tie-breaking.”