EgoismSecond Welfare Theorem
Some (unplausible) preferences have to be ruled out:
Example
Hateful Society:Ui=mi− 2 mjfor two agentsi 6 =j. No consumption is
efficient.Social Monotonicity
Forz∈RL+\{ 0 }and any allocationx, there exists a redistribution (zi)
with∑
zi=zsuch thatUi(x+z)>Ui(x)